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KENDRIYA VIDYALAYA SANGATHAN

CCT TEST ITEMSCLASS IX: CHAPTER 14: STATISTICS

S. No Title of Test Item1. Indian premier league 20192. Environmental hazards3. World fight against Covid-194. Noise pollution in the year 20205. Health Infrastructure in different countries6. IPL-Annual Biggest sports Extravaganza in India7. Top arms &ammunition importers8. Comparing the breathing problem in delhi city during 2016-189. Rugby world cup 201510. India’s fight against covid-19

CHAPTER: STATISTICS CLASS: IXPRACTICE ITEMS FOR MATHEMATICAL LITERACY

1. TOPIC : INDIAN PREMIER LEAGUE 2019

Two friends Aryan and Rishabh were discussing telephonically about IPL 2020. They were having discussion on performance of J. BAIRSTOW in the IPL 2019.J.BAIRSTOW showed his batting prowess in his maiden IPL season in 2019, scoring 445 runs in 10 innings and his partnership with Australian David Warner was one of the major talking points of the tournament. Having discussed on the performance of BAIRSTOW in the IPL 2019, Aryan and Rishabh reached to a conclusion that BAIRSTOW is surely going to perform extraordinarily in the coming IPL 2020. They decided to do the betting on the name of BAIRSTOW in IPL 2020, so that they can win a huge amount in betting.

DOMAIN : MATHEMATICAL LITERACY

THEME : STATISTICS (MEASURE OF CENTRAL TENDENCY)

CLASS : IX EXPECTED TIME : 15 minTOTAL CREDIT : 8

Description of ItemYES TextYES ImageYES Table NO GraphNO MapNO Poem

Learning Outcome :1.Analyzing and Interpretation of data2. calculationof Central Tendency(As per NCERT )

Q. 1 Find the mean of runs scored by players.

FRAMEWORK CHARACTERISTICSCompetency cluster Creative ThinkingOverarching Idea RelationshipsContext OccupationalItem format Short AnswerCognitive Process Interpreting, Problem solvingProficiency Level 2

Credit Pattern:Full Credit: 2Partial Credit: 1Nil Credit: 0

Description of Answer key and Credits:Ans 1. Full Credit :( 114+102+100+100+99+99+97)/7 =101.57Partial Credit: sum as 711No Credit: other responses

Q. 2 Find the mode of runs scored by players.

FRAMEWORK CHARACTERISTICSCompetency cluster Creative ThinkingOverarching Idea RelationshipsContext Occupational Item format Short AnswerCognitive Process Interpreting, Problem solvingProficiency Level 2


Description of Answer key and Credits:Ans 2. Full Credit: 100, 99Partial Credit: 0No Credit: Other Responses

Q. 3 Find the median of runs scored by players.

FRAMEWORK CHARACTERISTICSCompetency cluster Interpretation of dataOverarching Idea RelationshipsContext Occupational Item format Short AnswerCognitive Process Interpreting, Problem solvingProficiency Level 2

Credit Pattern:Full Credit: 2Partial Credit:0Nil Credit: 0

Description of Answer key and Credits:Ans: 3. Full Credit: (n+1)/2th term = (7+1)/2th term=8/2th term=4th term = 100Partial Credit: 0No Credit: Other Responses

Q. 4 Find the highest runs scored per ball among the players: S.Dhawan, J. Bairstow, KL Rahul

FRAMEWORK CHARACTERISTICSCompetency cluster Interpretation of dataOverarching Idea RelationshipsContext Occupational Item format Short AnswerCognitive Process Interpreting, Problem solvingProficiency Level 2


Description of Answer key and Credits:Ans 4.Full Credit: S.Dhawan = 97/63 = 1.54, J. Bairstow = 114/56 = 2.04, KL Rahul = 100/64 = 1.56Highest runs per ball: J. BairstowPartial Credit: If student write runs per ball by any two players.No Credit: other responses

Name of the Teacher / item Writer: PriyankaDesignation: TGT MATHSEmail: priyankakumar0085gmail.comPhone No. : 6395229464Name of the Vidyalaya: K.V.IMA KVS Region:DEHRADUN


1. TOPIC: ENVIRONMENTAL HAZARDSElectronic waste or e-waste describes discarded electrical or electronic devices. The rapid expansion of technology and consumption driven society results in creation of a very large amount of e-waste every minute, which in turn causes serious environmental and health risks. The following graph represents the leading countries based on generation of electronic waste in 2019

quantity of e-waste is in thousand metric ton’s


THEME : Interpretation of bar graph

CLASS : IX EXPECTED TIME : 20 minTOTAL CREDIT : 8

Description of ItemYES TextNO ImageNO TableYES GraphNO MapNO Poem

Learning Outcome : Reading bar graph, finding percentage, estimation(As per NCERT )

Q1.The combined e-waste generated in Indonesia and Germany is approximately equal to the e-waste generated by which country?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical thinkingOverarching Idea Estimation, connectionContext Environmental and Societal Item format Short AnswerCognitive Process Interpreting, comparingProficiency Level 3

Credit Pattern:Full Credit:2Partial Credit: 1Nil Credit:0

Description of Answer key and Credits:Ans: Full Credit: India Partial Credit: Nil No Credit: Other Response

Q2. The e-waste produced in India is what percent of e-waste produced in China?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytic thinkingOverarching Idea Understanding figures in percentagesContext Environmental and SocietalItem format Short AnswerCognitive Process Computation, comparisonProficiency Level 4


Description of Answer key and Credits:Ans: 2. Full Credit: 31.88Partial Credit: (3230/10129)*100No Credit: Other Response

Q3.What is the difference between the quantities of electronic waste produced combined with United States and China and that produced by the rest of the countries?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytic thinkingOverarching Idea Relationships and comparisonContext Environmental and SocietalItem format Short AnswerCognitive Process computationProficiency Level 3

Credit Pattern:

Full Credit: 2Partial Credit: 1Nil Credit: 0

Description of Answer key and Credits:Ans: 3. Full Credit: 1289 thousand metric tonnesPartial Credit: US+China = 17047 thousand metric tonnes, Rest of the countries = 15758 thousand metric tonnesNo Credit: Other Response

Q4. How many times the e-waste produced in France is the e-waste produced in the United States?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytic thinkingOverarching Idea Relationship, connectionContext Environmental and SocietalItem format Short AnswerCognitive Process Computation, comparisonProficiency Level 4


Description of Answer key and Credits:Ans: 4. Full Credit: 5.07 Partial Credit:6918/1362 or 5 No Credit: Other Response

Name of the Teacher / item Writer: Ms RajshriDesignation: TGT MathsEmail: [email protected] No. : 9719288104Name of the Vidyalaya: KV2 HBK DDunKVS Region: Dehradun


1. TOPIC: World fight against Covid-19

The Novel Corona Virus or COVID -19 is the pandemic which has affected every country of the virus since it was traced in November 2019 and the total is increasing day by day in the form of number of infection as well as number of deaths in the world. The charts given below shows the spread of coronavirus, including the number of COVID-19 infected cases, the number of people recovered and the deaths each day, for both India and the world.


THEME : STATISTICS (BAR Graph)

CLASS : IX EXPECTED TIME : 20 minTOTAL CREDIT :8

Description of ItemYES Text NO Image NO TableYES Graph NO MapNO Poem

Learning Outcome:1. Interpretation of the data2. Finding the mean and median of the data.(As per NCERT )

Q. 1 Calculate the mean of new cases of infection in the US during period from 12 th May to 15th May.

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical thinkingOverarching Idea Change and RelationshipsContext HealthItem format MCQ Cognitive Process EvaluationProficiency Level 2

Credit Pattern:Full Credit:2Partial Credit:1Nil Credit:0

Description of Answer key and Credits:Ans: 1. Full Credit: 22,000+21,000+27,000+25,000=95,000, mean =95,000/4=23,750(approx.)Partial Credit: 22,000+21,000+27,000+25,000=95,000(approx.)No Credit: Other Response

Q. 2 What could be the possible median value of the infected cases on 12 th May in all the shown countries?(a) 7000 (b) 9000 (c) 10000 (d) 3500

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical thinkingOverarching Idea Change and RelationshipsContext HealthItem format MCQ Cognitive Process CalculationProficiency Level 2


Description of Answer key and Credits:Ans: 2. Full Credit (d) 3500Partial Credit: between 3200 and 3700 No Credit: Other Response

Q. 3 Which country is showing continuously upward trend of new cases? (a) Brazil (b) Russia (c) US (d) India

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical thinkingOverarching Idea Change and RelationshipsContext HealthItem format MCQ Cognitive Process ComparisonProficiency Level 2

Credit Pattern:Full Credit: 2Nil Credit: 0

Description of Answer key and Credits:Ans: 3. Full Credit: Brazil No Credit: Other Response

Q. 4) Which is the country showing minimum changes in number of cases recorded between 14 th and 15th

May?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical thinkingOverarching Idea Change Context HealthItem format short answerCognitive Process Calculation and interpretationProficiency Level 2


Description of Answer key and Credits:Ans: 4. Full Credit: UK and IndiaPartial Credit: any one countryNo Credit: Other Response

Name of the Teacher / item Writer: Ms VARIJA TRIPATHIDesignation: TGT MATHSEmail:[email protected] No. : 889476636Name of the Vidyalaya: KV, IMA, DEHRADUNKVS Region: DEHRADUN

CHAPTER: STATISTICS CLASS : IXPRACTICE ITEMS FOR MATHEMATICAL LITERACY

1. TOPIC: NOISE POLLUTION IN THE YEAR 2020

With the rapid modernization in the 21st century, different forms of pollution are affecting our healthy environment. One among those is in the form of Noise pollution. For creating awareness among the student Social Science teacher of a school is conducting a special online class about the pollution in different places at Dehradun. She wanted to know that how much the students are aware about their environment through comparative study of a chart.

Status of Noise Data for the Year 2020

Monitoring Station Zone

Noise Level (dB)A

Jan Feb March April May June July August

Survey Chowk Commercial 70 68 70 51 71 72 74 70 Doon Hospital Silence 58 57 55 47 53 55 57 71 Clock Tower Commercial 73 71 71 57 71 71 70 68 Gandhi Park Silence 53 56 54 44 52 55 53 64 Race Course Residential 54 50 52 41 54 52 50 47 CMI Chowk Commercial 64 69 71 55 71 74 72 65 Nehru Colony Residential 54 54 54 43 55 56 54 56 Tikonia Chowk Commercial 60 59.1 56.4 45.2 52.9 55.7 53.3 55.9 Beershiva School Commercial 57 55.4 52.7 44.3 51.5 52.5 52.1 54.2 Awas-Vikas Chowk Commercial 48.1 46.9 49.7 45.2 48.1 49.7 49.6 50.1 Mallital Near N.P.P. Commercial 56.3 57.8 55.5 46.7 49.8 51.5 51.4 52.7

* AMBIENT AIR QUALITY STANDARDS IN RESPECT OF NOISE

Area Code Category of Area/ZoneLimits in dB(A)

Day Time Night Time (A) Industrial Area 75 65 (B) Commercial Area 65 55 (C) Residential Area 55 45 (D) Silence Zone 50 40

Industrial area commercial area Residential area Silence zone0

10

20

30

40

50

60

70

80

Day timeNight timeColumn1

DOMAIN : MATHEMATICAL THEME :STATISTICS -TABULAR CLASS :IX

LITERACY INFORMATION AND BAR GRAPH EXPECTED TIME :20 MinTOTAL CREDIT :10

Description of ItemYES Text NO ImageYES TableYES Graph NO Map NO Poem

Learning Outcome: Analyze data and interpret and draw conclusions from these analysis.(As per NCERT )

Q. 1: What is the mean of noise data at Survey chowk?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical thinkingOverarching Idea Uncertainty and dataContext EnvironmentalItem format Short answerCognitive Process InterpretingProficiency Level 3


Description of Answer key and Credits:Ans: 1. Full Credit: (70+68+ 70 + 51 + 71 + 72 + 74 + 70) / 8 = 68.25Partial Credit: 546No Credit: Other Response

Q. 2: What is the median of noise pollution data at Race Course?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical thinkingOverarching Idea UncertaintyContext EnvironmentalItem format Short answerCognitive Process InterpretingProficiency Level 3

Credit Pattern:Full Credit: 2Partial credit:1Nil Credit: 0

Description of Answer key and Credits:Ans: 2. Full Credit: After arranging the data in ascending or descending order (50 + 52) / 2 = 51Partial credit: arranging the data in ascending or descending orderNo Credit: Other Response

Q. 3: What is the difference between the mode of noise pollution data at Clock tower and Nehru colony?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical ThinkingOverarching Idea Uncertainty and dataContext EnvironmentalItem format Short answerCognitive Process Comparison and evaluationProficiency Level 3


Description of Answer key and Credits:Ans: 3. Full Credit: Mode (Clock tower) = 71, Mode (Nehru colony) = 54 Difference = 71 – 54 = 17Partial Credit: Mode (Clock tower) = 71, Mode (Nehru colony) = 54No Credit: Other Response

Q. 4: Find the ratio of range of the noise data of two silence zones.

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical thinkingOverarching Idea Uncertainty and dataContext EnvironmentalItem format Short answerCognitive Process Problem solvingProficiency Level 4


Description of Answer key and Credits:Ans: 4. Full Credit: Range (Doon Hospital) = 71 – 47 = 24, Range (Gandhi park) = 64 – 44 = 20 Ratio = 24: 20 = 6: 5 OR Ratio = 20: 24 = 5: 6Partial Credit: Range (Doon hospital) = 71 – 47 = 24 OR Range (Gandhi park) = 64 – 44 = 20No Credit: Other Response

Q. 5: In which of the given months, noise pollution (at all the given places) is lower than the standard limit of the noise pollution in day time?

FRAMEWORK CHARACTERISTICS

Competency cluster Analytical thinkingOverarching Idea Uncertainty and dataContext EnvironmentalItem format Very Short answerCognitive Process Comparing and AnalyzingProficiency Level 2


Description of Answer key and Credits:Ans: 5. Full Credit: In the month of April’2020No Credit: Other Response

Name of the Teacher / item Writer: SHABANA REHMANDesignation: TGT ( MATHS)Email: [email protected] No. : 9557107922Name of the Vidyalaya: KV IMA, PREMNAGAR DEHRADUNKVS Region: DEHRADUN


1. TOPIC: Health Infrastructure in different countries

With the spread of covid-19 in almost all parts of the world, the need for better health infrastructure is the top priority of the countries. It has been observed that countries having good health facilities have been able to control the number of casualties and sharp increase in recovered cases. The following graph shows the number of HOSPITAL BEDS and PHYSICIANS per 1000 persons in different countries during the pandemic COVID -19


THEME :Statistics CLASS : IX EXPECTED TIME :15 minTOTAL CREDIT : 8

Description of ItemYES Text NO ImageNO TableYES Graph NO MapNO Poem

Learning Outcome(as per NCERT) :1. To analyze and interpret the data from the bar graph.2. Application of concept of percentage.

Q. 1 What is the ratio of hospital beds to physicians per 1000 in GERMANY ?a) 3:2b) 1:2c) 2:1d) 4:3

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical thinkingOverarching Idea Double bar graph readingContext HealthItem format MCQ Cognitive Process interpreting and Problem solvingProficiency Level 2


Description of Answer key and Credits:Ans: 1. Full Credit: for 2:1No Credit: Other Response

Q 2. How much % approximately should rise there in the number of physicians in Pakistan to match the number with Germany?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical thinkingOverarching Idea concept of percentContext HealthItem format Short AnswerCognitive Process interpreting and Problem solvingProficiency Level 3


Description of Answer key and Credits:Ans: 2. Full Credit: For 300 %Partial Credit: for finding differenceNo Credit: Other Response

Q3. Which country is having largest number of beds under one physician? Also find how many beds per physician have to look after in that country?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical thinkingOverarching Idea Comparing quantitiesContext Occupational and Societal Item format Short AnswerCognitive Process lnterpreting and Problem solvingProficiency Level 3


Description of Answer key and Credits:Ans: 3. Full Credit: South Korea, approx. 4-5Partial Credit: one of the answers is correctNo Credit: Other Response

4. What measures must be taken to fight against COVID – 19?

FRAMEWORK CHARACTERISTICSCompetency cluster Critical thinkingOverarching Idea General awarenessContext Personal awarenessItem format Open constructed responseCognitive Process KnowledgeProficiency Level 2


Description of Answer key and Credits:Ans: 4. Full Credit: Social distancing, use of masks, sanitising etc.Partial Credit: Any one responsesNo Credit: No Response

Name of the Teacher: SHAILENDRA NEGIDesignation: TGT MathsEmail: [email protected] No. :9997976710Name of the Vidyalaya: KV ONGC, DehradunKVS Region: DEHRADUN

CHAPTER: STATISTICS CLASS:IXPRACTICE ITEMS FOR MATHEMATICAL LITERACY

2. TOPIC: IPL-Annual Biggest sports Extravaganza in India

INDIAN PREMEIR LEAGUE The Indian Premier League (IPL) is a professional Twenty20 cricket league in India contested during March or April and May of every year by eight teams representing eight different cities in India. The league was founded by the Board of Control for Cricket in India (BCCI) in 2008. The IPL has an exclusive window in ICC Future Tours ProgrammeThe IPL is the most-attended cricket league in the world and in 2014 ranked sixth by average attendance among all sports leagues. In 2010. The IPL became the first sporting event in the world to be broadcasted live on YouTube. The brand value of the IPL in 2019 was Rs.475 billion (US$6.7 billion), according to Duff & Phelps. According to BCCI, the 2015 IPL season contributed Rs.11.5 billion (US$160 million) to the GDP of the Indian economy.The teams of IPL 2018

Chennai Super Kings Squad (CSK)Delhi Daredevils Squad (DD)Kings XI Punjab Squad(KXP)Kolkata Knight Riders Squad (KKR)Mumbai Indians Squad (MI)Rajasthan Royals Squad (RR)Royal Challengers Bangalore Squad (RCB)Sunrisers Hyderabad Squad (SRH)

https://en.wikipedia.org/wiki/Economy_of_India

https://en.wikipedia.org/wiki/GDP

https://en.wikipedia.org/wiki/Duff_%26_Phelps

https://en.wikipedia.org/wiki/Duff_%26_Phelps

https://en.wikipedia.org/wiki/YouTube

https://en.wikipedia.org/wiki/ICC_Future_Tours_Programme

https://en.wikipedia.org/wiki/ICC_Future_Tours_Programme

https://en.wikipedia.org/wiki/Board_of_Control_for_Cricket_in_India

https://en.wikipedia.org/wiki/India

https://en.wikipedia.org/wiki/Twenty20_cricket


THEME : STATISTICS CLASS : IX EXPECTED TIME : 20 minutesTOTAL CREDIT : 08

Description of ItemYES TextNO ImageNO TableYES GraphNO Map NO Poem

Learning Outcome :1. To read and interpret the bar graphs and frequency

polygons’2. Concept of percentage and ratio3. Mean of data

(As per NCERT )

Q. 1 Find the median of matches won by all 8 teams in IPL 2018.

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical ThinkingOverarching Idea Graph and frequency polygons readingContext Sports and EntertainmentItem format Short answerCognitive Process Interpreting and problem solvingProficiency Level 3

Credit Pattern:Full Credit:02Nil Credit:0

Description of Answer key and Credits:Ans: 1. Full Credit: Median =3No Credit: Other Response

Q 2. The percentage increase of average runs per season is same (in which two successive years). (a) 2009-2010 and 2017-2018(b) 2013-2014 and 2017-2018(c) 2015-2016 and 2016-2017(d) 2009-2010 and 2013-2014

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical ThinkingOverarching Idea Graph and frequency polygons readingContext Sports and EntertainmentItem format MCQCognitive Process Interpreting and problem solvingProficiency Level 2


Description of Answer key and Credits:Ans: 2. Full Credit: 2009-2010 and 2017-2018No Credit: Other Response

Q 3.Choose the correct option for the mean of lost matches by CSK,RR,KXIPand MI.(a) 3(b) 2.5(c) 2.75(d) 3.75

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical ThinkingOverarching Idea Graph and frequency polygons readingContext Sports and EntertainmentItem format MCQCognitive Process Interpreting and problem solvingProficiency Level 2


Description of Answer key and Credits:Ans: 3. Full Credit: (1+3+2+5)/4=11/4=2.75Partial Credit: sum as 11No Credit: Other Response

Q 4. In which year was the graph of average runs per season showing the least downward trend and whatwas the decreasing percentage?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical Thinking and calculation Overarching Idea Graph and frequency polygons readingContext Sports and EntertainmentItem format Short answerCognitive Process Interpreting and problem solvingProficiency Level 3


Description of Answer key and Credits:Ans: 4 Full Credit: 2014-2015 and (2/158) *100=1.27%(approx.)Partial Credit: 2014-2015No Credit: Other Response

Name of the Teacher / item Writer: Poonam SharmaDesignation: TGT MathsEmail: [email protected] No.: 9808064850Name of the Vidyalaya: K V Birpur ,DehradunKVS Region: Dehradun


3. TOPIC: TOP ARMS & AMMUNITION IMPORTERS

According to recent numbers by the Stockholm International Peace Research Institute, Australia was the world’s fourth biggest arms importer in the last decade behind all-time front runners India, Saudi-Arabia and China. Australia has been stepping up its defense purchases recently. In a comparison of post-war arms importers (since 1950), Australia is in rank 15. Looking at the last 25 years, the country makes rank 10.Security fears related to volatility in Asia were part of the reason why Australia and many countries in the region increased spending on major weapons. Australia is also looking into exporting more of its own weapon systems as part of a government initiative. According to the data, the country was the 20th largest weapons exporter since 2010. The graph given below compares the top eight Arms importers of the WorldThe developed countries mentioned in the graph given below are: Saudi Arabia, Australia, UAE and South Korea while remaining four are developing countries.


THEME : STATISTICS CLASS : IX EXPECTED TIME :15 MinutesTOTAL CREDIT :8

Description of ItemYES Text NO ImageNO TableYES GraphNO MapNO Poem

Learning Outcome :(As per NCERT )

1. Data Interpretation and its application.2. Calculation of Central Tendency Mean and Median.3. Make Logical Deductions/conclusions.

Q. 1 Which are those three countries Total Arms Imports, nearly equal to India’s Arms imports?

FRAMEWORK CHARACTERISTICSCompetency cluster Critical ThinkingOverarching Idea Data & UncertaintyContext Security and CommerceItem format Short AnswerCognitive Process SelectionProficiency Level 2


Description of Answer key and Credits:Ans: 1. Full Credit: Australia (12.2), Egypt (11.1), South Korea (9.8) OR Australia, UAE (11.1) and South KoreaPartial Credit: Any one combinationNo Credit: Other Response

Q2. Name two countries having their total arms imports nearly equal to the mean of top three arms Importing countries?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical ThinkingOverarching Idea Data & Calculation of Central TendencyContext Security and CommerceItem format Closed constructed responseCognitive Process Calculation and choosing correct CombinationProficiency Level 4


Description of Answer key and Credits:Ans: 2. Full Credit: China (12.4) & UAE/Egypt (11.1) = 23.5 is nearly equal to the Mean of top three

Importers=70.8/3= 23.6 Partial Credit: Mean of top three countries as 23.6No Credit: Other Response

Q3. Choose the correct median of the imports of all eight countries from the option given below:a) 11.65 b 12.24 c)11.10 d) None of these

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical ThinkingOverarching Idea Data & UncertaintyContext Security and CommerceItem format MCQCognitive Process Conceptual Proficiency Level 2


Description of Answer key and Credits:Ans: 3. Full Credit: option a) 11.65 i.e Median=[(12.2+11.1)/2]No Credit: Other Response

Q4. What is the percentage of total arms importing of Developing Countries in comparison with imports of Developed Countries?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical ThinkingOverarching Idea Data Interpretation and concept of PercentageContext Security and CommerceItem format Closed constructed responseCognitive Process EvaluateProficiency Level 3


Description of Answer key and Credits:Ans: 4. Full Credit: Imports (developed Countries) =58.5 Imports (developing Countries) = 66.6 Required %= (66.6/58.5)*100=113% (approx.)Partial Credit: Finding 58.5 and 66.6No Credit: Other Response

Name of the Teacher / item Writer: Sanjay ChandelDesignation: PGT MathEmail: [email protected] No. : 8791780604Name of the Vidyalaya: KV2 HBK, Survey of India, DehradunKVS Region: Dehradun


TOPIC: COMPARING THE BREATHING PROBLEM IN DELHI CITY DURING 2016-18The Government now-a-days is taking few of measures to aware the citizen and controlling the air pollution in metro cities like Delhi.The data given below representing number of days of breathing trouble and less trouble during 2016-18 in Delhi.


THEME :STATISTICS (DOUBLE BAR GRAPH)

CLASS : IX EXPECTED TIME :15 minutesTOTAL CREDIT : 8

Description of ItemYES Text NO Image NO TableYES Graph NO Map NO Poem

Learning Outcome :(As per NCERT )1. Comparison and Interpretation of data.2. Calculation of Central Tendency.

Q.1 In which year Delhi remains maximum number of days in satisfactory and moderate zone? a) 2016 (b) 2017 (c) 2018

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical ThinkingOverarching Idea Data and uncertaintyContext EnvironmentalItem format MCQCognitive Process ComparisonProficiency Level 2


Description of Answer key and Credits:Ans: 1. Full Credit: option cNo Credit: any other response

Q.2 Calculate the average of number of days in which Delhi remains in very poor andsevere zone.

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical ThinkingOverarching Idea Data and uncertaintyContext EnvironmentalItem format Short AnswerCognitive Process Conceptual and EvaluateProficiency Level 3


Description of Answer key and Credits:Ans: 2. Full Credit: 666/3=222 daysPartial Credit: sum as 666No Credit: any other response.

Q.3 By what percent the satisfactory and moderate zone increases in 2018 in comparison with 2016 approximately?

(a) 46 % (b) 55% (c) 50% (d) 40%

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical ThinkingOverarching Idea PercentageContext EnvironmentalItem format MCQCognitive Process Interpretation and calculationProficiency Level 2


Description of Answer key and Credits:Ans: 3. Full Credit: option a) 46% Difference= 159-109=50 %= (50/109)*100No Credit: any other response

Q4. Give any two reasons behind the decrease in very poor and severe zone in Delhi between 2016 and 2018?

FRAMEWORK CHARACTERISTICSCompetency cluster Critical ThinkingOverarching Idea Change Context EnvironmentalItem format Open constructed responseCognitive Process Awareness and LogicProficiency Level 2


Description of Answer key and Credits:Ans 4. Full Credit: Any two from these a. Odd-even Formula b. Strict BS norms c. More Use of CNG & Electric vehicle No Credit: Any other Response

Name of the Teacher / item Writer: A.K. THAKURDesignation: PGT MATHSEmail:[email protected] No. : 9870922407Name of the Vidyalaya: KV IMA DEHRADUNKVS Region: DEHRADUN


TOPIC: Rugby World Cup 2015

Rugby union, widely known simply as rugby, is a full contactteam sport that originated in England in the first half of the 19th century. One of the two codes of rugby football, it is based on running with the ball in hand. In its most common form, a game is played between two teams of 15 players using an oval-shaped ball on a rectangular field called a pitch.The frequency polygon graph given below depicts the heights of rugby players who played in Rugby World Cup 2015.

165 175 185 195 2050

50

100

150

200

250

300

350

400

5

96

349

167

29

Heights of Rugby Players

Heights (in cm)

Num

ber o

f Pla

yers


THEME : STATISTICS-FREQUENCY POLYGON

CLASS : IXEXPECTED TIME :15TOTAL CREDIT :10

Description of ItemYES TextNO ImageNO TableYES GraphNO MapNO Poem


1. Data interpretation.2. Calculation of different parameters from the graph.3. Calculation of measures of central tendency-mean

Q. 1 Difference between the height having the maximum number of players and the height having the minimum number of players?

FRAMEWORK CHARACTERISTICSCompetency cluster ConnectionsOverarching Idea Data & UncertaintyContext SportsItem format Short AnswerCognitive Process Comparison and EvaluateProficiency Level 2

Credit Pattern:Full Credit: 2No Credit: 0

Description of Answer key and Credits:Ans: 1. Full Credit: 185-165=20No Credit: Other Response

Q. 2 What is the class interval corresponding to height 185 cm? Also find the class size?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical ThinkingOverarching Idea Data & UncertaintyContext SportsItem format Short AnswerCognitive Process Interpreting and calculationProficiency Level 3


Description of Answer key and Credits:Ans: 2. Full Credit: lower limit: 185-5=180, upper limit: 185+5=190 class intervals: 180−¿190 Class size: 10Partial Credit: correct answer of any one part No Credit: Other Response

Q. 3 Calculate the total number of the players from the data given in the graph.

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical thinkingOverarching Idea Data Interpretation and CalculationContext SportsItem format Short AnswerCognitive Process lnterpretingProficiency Level 2

Credit Pattern:Full Credit: 2Nil Credit: 0Description of Answer key and Credits:Ans: 3.Full Credit: ∑ ( fi )=646 ,

No Credit: Other Response

Q. 4 Which is more, players having heights less than 180 cm or players having heights more than 190 cm?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical ThinkingOverarching Idea Comparisons of DataContext SportsItem format Short AnswerCognitive Process Interpreting and calculationProficiency Level 3


Description of Answer key and Credits:Ans: 4. Full Credit: Players having heights < 180 = 5 + 96 = 101

Players having heights > 190 = 167 + 29 =196Players having heights > 190 is more.


Q5. How can we calculate the mean height of the players?

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical ThinkingOverarching Idea Data & Calculation of Central TendencyContext SportsItem format Closed constructed responseCognitive Process Interpreting and calculationProficiency Level 4


Description of Answer key and Credits:Ans: 5. Full Credit: a) Multiply each class marks (xi) with the corresponding number of players (fi) i.e calculate ∑ (xi . fi)

b) Divide ∑ (xi . fi)by (∑ ( fi ) i.e Find x=∑ xi . fi

∑ fiNo Credit: Other Response

Name of the Teacher / item Writer: REKHA JOSHIDesignation: TGT MATHSEmail: [email protected] No. : 7983168794Name of the Vidyalaya: KV OLF Raipur

KVS Region: DEHRADUN

CHAPTER:STATISTICS CLASS: - IXPRACTICE ITEMS FOR MATHEMATICAL LITERACY

4. TOPIC: INDIA’S FIGHT AGAINST COVID-19The country is facing a tough task of controlling the covid-19 cases in major populated states. The States and Central Government are taking rapid measures in the form of providing medicines, beds, ventilators, masks etc. and also at the same time creating awareness among the citizen through various platforms about the precautions to be taken up regularly. The impact of these measures is visible in many states where we have been able to control the fatality rateBelow is shown the Data from March to June 2020 of positive and recovered cases of covid-19 for 6 states of India and the same is depicted in the bar graph

Maharashtra Karnataka Uttar Pradesh

Rajasthan Tamil Nadu West Bengal0

20000

40000

60000

80000

100000

120000

140000

160000

Total CasesRecovered


THEME : STATISTICS(DOUBLE BAR GRAPH)

CLASS : IXEXPECTED TIME: 20 min.TOTAL CREDIT : 08

Description of ItemYES Text NO Image NO TableYES Graph NO Map


1. To read the double bar graph.2. Concept of mean.3. To develop comparing sense.4. Concept of range.

NO Poem

Q.1 Find the mean of recovery cases in all states displayed in Bar graph.a) 35000b) 36000c) 34000d) 40000

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical thinkingOverarching Idea Double bar graph readingContext HealthItem format MCQ Cognitive Process Interpreting and Problem solvingProficiency Level 3


Description of Answer key and Credits:Ans: 1. Full Credit: 36000No Credit: Other Response

Q2. What is the range of recovery cases of all states mentioned in graph?a) 40000b) 60000c) 75000d) 85000

FRAMEWORK CHARACTERISTICSCompetency cluster Analytical thinkingOverarching Idea Double bar graph readingContext HealthItem format MCQ Cognitive Process Interpreting and Problem solvingProficiency Level 3


Description of Answer key and Credits:Ans: 2.Full Credit: 85000No Credit: Other Response

Q3. Which state having the maximum positive cases of covid-19?

FRAMEWORK CHARACTERISTICSCompetency cluster Graph readingOverarching Idea General awarenessContext Health

Item format Short answerCognitive Process knowledgeProficiency Level 2


Description of Answer key and Credits:Ans: 3. Full Credit: Maharashtra No Credit: Other Response

Q4. Find the median of the total cases in the six states?

FRAMEWORK CHARACTERISTICSCompetency cluster Critical thinkingOverarching Idea Data InterpretationContext HealthItem format Short answerCognitive Process Evaluation from the dataProficiency Level 2

Credit Pattern:Full Credit: 2Partial Credit: 1Nil Credit:0

Description of Answer key and Credits:Ans: 4. Full Credit: 24500

Partial Credit: Formula for median as [(n2)+( n2+1)]/2 and putting value


Name of the Teacher / item Writer: Mr. BUDHI SAGAR PANDEYDesignation: TGT MATHSEmail: [email protected] No. : 7599007803Name of the Vidyalaya: KV ONGC DEHRADUNKVS Region: DEHRADUN

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