Math 20-2 Statistics Test Name: _______________________

Multiple Choice – Circle and shade your response. (1 mark each)

Numeric Response – Answer as required in the space provided. (1 mark each)

1. Determine the mean of the following test scores.

95 85 72 62

92 84 72 59

89 80 70 52

88 78 68 40

85 73 67 32

A. 71.65

B. 71.15

C. 72.15

D. 70.65

Numerical response #1

Environment Canada compiled data on the number of lightning strikes per square

kilometre in Alberta and British Columbia towns from 1999 to 2008.

0.42 0.04 0.81 0.40 0.03 0.74

0.28 0.03 0.70 0.23 0.03 0.66

0.13 0.02 0.61 0.12 0.01 0.58

0.10 0.00 0.49 0.07 1.08 0.43

0.05 0.91 0.42 0.04 0.88

The value that goes in the fourth row of this frequency table is ______

Lightning Strikes

(per square

kilometre)

Frequency

0.00–0.19 13

0.20–0.39 2

0.40–0.59 6

0.60–0.79

0.80–0.99 3

1.00–1.19 1

2. Which histogram represents the following test scores?

98 82 75 66 62

95 81 72 64 58

92 80 72 62 55

85 76 72 62 55

85 75 67 62 41

A.

C.

B.

D.

3. Environment Canada compiled data on the number of lightning strikes per square

kilometre in Alberta and British Columbia towns from 1999 to 2008.

0.42 0.04 0.81 0.40 0.03 0.74

0.28 0.03 0.70 0.23 0.03 0.66

0.13 0.02 0.61 0.12 0.01 0.58

0.10 0.00 0.49 0.07 1.08 0.43

0.05 0.91 0.42 0.04 0.88

Which range of data occurs most frequently?

A. 0.20–0.39

B. 0.40–0.59

C. 0.80–0.99

D. 0.60–0.79

4. A pear orchard has 20 trees with these heights, given in inches.

110 83 104 95

88 80 115 106

97 100 98 93

92 117 75 83

122 115 89 105

Determine the mean, to one decimal place.

5. A set of data is normally distributed. What percent of the data is within two standard

deviation of the mean?

A. about 34%

B. about 50%

C. about 68%

D. about 95%

6. A set of data is normally distributed. What percent of the data is greater than the mean?

A. 100%

B. about 95%

C. about 50%

D. about 68%

A. 98.4 in.

B. 99.4 in.

C. 101.4 in.

D. 100.4 in.

Numerical response #2

The ages of participants in a bonspiel are normally distributed, with a mean

of 40 and a standard deviation of 10 years. The percent of the curlers that are

between 30 and 50 years is _____.

7. A teacher is analyzing the class results for a physics test. The marks are normally

distributed with a mean (µ) of 76 and a standard deviation ( ) of 4. Determine Olivia’s

mark if she scored a mark one standard deviation below the mean.

A. 84

B. 68

C. 80

D. 72

Numerical Response #3 (Write your answer as an integer in the space provided.)

A teacher is analyzing the class results for a physics test. The marks are normally

distributed with a mean (µ) of 76 and a standard deviation ( ) of 4. Determine

Ram’s mark if he scored µ – 2.5 = ________

8. Which set best represents data that is normally distributed?

Interval 0–9 10–19 20–29 30–39 40–49 50–59

Set A. 100 500 850 820 450 150

Set B. 800 750 700 650 600 550

Set C. 950 420 180 220 460 990

Set D. 400 620 760 820 900 850

A. Set A.

B. Set B.

C. Set C.

D. Set D.

9. Determine the z-score for the given value.

µ = 120, = 10, x = 125

A. –2.0

B. 0.5

C. 2.0

D. –0.5

10. Determine the z-score for the given value.

µ = 52, = 6, x = 64

A. 0.5

B. 2.0

C. –0.5

D. –2.0

11. Determine the percent of data to the left of the z-score: z = –1.50.

A. 6.81%

B. 7.35%

C. 6.68%

D. 8.08%

12. Determine the percent of data to the right of the z-score: z = –0.08.

A. 21.19%

B. 53.19%

C. 46.81%

D. 78.81%

Math 20-2 Stats Exam Name: _________________________

Multiple Choice: Shade the letter that corresponds to your answer.

1. A B C D

2. A B C D

3. A B C D

4. A B C D

5. A B C D

6 A B C D

7. A B C D

8. A B C D

9. A B C D

10 A B C D

11. A B C D

12. A B C D

Numeric Response: Record your numeric response answers in the space provided.

NR 1.

NR 2.

NR 3.

Statistics:

Written Response: Show all your work to get full marks.

1. The following test scores were for the last math exam.

90 84 77 66

89 84 77 65

86 82 75 65

86 81 72 61

84 79 70 56

[4]

Determine the following

Mean:

Median:

Mode:

Range:

2. Ramsey is taking Math and English as her core subjects this semester.

a) Determine Ramsey’s actual mark in Math if her z-score ranking is 2.25, the class

average is 64% and the standard deviation is 8.0%.

[3]

b) Determine the class average of Ramsey’s English class given the standard deviation of

marks is 6.0% and her English mark of 64% represents a z-score of – 1.33.

3. Last year’s marks on this statistics exam had a mean of 60% and standard deviation

of 9%. What is the percentage of students that scored 75% or better?

[3]

4. The mass of jelly beans in a bag is normally distributed with an average of 850 grams and a standard deviation of 2.50 grams. a) Find the z-score for a bag that weighs 853 grams.

b) Shade the bell curve to represent all the bags of jelly beans that weight 853 grams or more.

[4]

c) What is the probability of buying a bag of jelly beans that weighs 853 grams or more?

5. A tire manufacturer knows the average life for their all-season tires is normally

distributed with an average of 92000 km and a standard deviation of 2500 km.

a) Shade in the bell curve to represent 33% of tires last only x km long.

[3]

b) Find the z-score (two decimal places) and the x-value (rounded to nearest 100 km)

for the maximum tire km in part a).

6. A group of students recorded their pulse rates after a 2 km run.

126 168 158 192 146 166 104 164 116 138

158 132 156 160 108 150 178 136 172 140

136 174 156 176 150 166 142 156 130 182

144 150 142 152 174 176 118 152 178 164

a. Complete the frequency table with ten intervals to organize the pulse rates. [1]

Pulse Rates Tally Frequency

100-109

110-119

120-129

130-139

140-149

150-159

160-169

170-179

180-189

190-199

4. continued…

b. Construct a histogram of the data. [2]