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0904 Variability.notebook March 12, 2014
Complete
#33 & 28
0904 Variability.notebook March 12, 2014
0904 Variability.notebook March 12, 2014
0904 Variability.notebook March 12, 2014
What are the possible values for xin the data set 22, 12, 33, 25, andx if the median is 25? any numbergreater than or equal to 25
0904 Variability.notebook March 12, 2014
Math Bookpage 476
OH Academic Content Standards8.1.6; 8.5.9
(pp 18)
Learning ObjectiveStudent will learn to find measures of variability and show understanding through class work.
0904 Variability.notebook March 12, 2014
0904 Variability.notebook March 12, 2014
first quartile The median of the lower half of a set of data; also called the lower quartile.
variability The spread of values in a set of data. The data set 1, 5, 7, 10, 25 has greater variability than the data set 8, 8, 9, 9, 9
third quartile The median of the upper half of a set of data; also called the upper quartile.
0904 Variability.notebook March 12, 2014
Introduce to variability. Remember the three measures of central tendency: mean, median, and mode. Measure of central tendency tells where the data is centered.
Does mean, median, or mode gives any indication of how a set of data is spread out?
The topic of the new lesson will address how a data set is spread out.
0904 Variability.notebook March 12, 2014
Box & Whisker Plot
0904 Variability.notebook March 12, 2014
0904 Variability.notebook March 12, 2014
Quartile 1 = 69 Median = 85 Quartile 3 = 93
0904 Variability.notebook March 12, 2014
Quartile 1 = 69 Median = 85 Quartile 3 = 93
0904 Variability.notebook March 12, 2014
Quartile 1 = 69 Median = 85 Quartile 3 = 93
0904 Variability.notebook March 12, 2014
Quartile 1 = 69 Median = 85 Quartile 3 = 93
0904 Variability.notebook March 12, 2014
(pp 19)
0904 Variability.notebook March 12, 2014
31, 23, 33, 35, 26, 24, 31, 29
Use the given data to make a boxandwhisker plot.
0904 Variability.notebook March 12, 2014
0904 Variability.notebook March 12, 2014
Lesson
0904 Variability.notebook March 12, 2014
(pp 19)
0904 Variability.notebook March 12, 2014
Learning ObjectiveStudent will learn to find measures of variability and show understanding through class work.
0904 Variability.notebook March 12, 2014
0904 Variability.notebook March 12, 2014
0904 Variability.notebook March 12, 2014
Interquartile range: 10 4 = 6
IQR
0904 Variability.notebook March 12, 2014
A boxandwhisker plot shows the variability of a data set, or how the data set is distributed. One important measure of this is the interquartile range ﴾IQR﴿. The IQR is the difference between the third quartile ﴾Q3﴿ and the first quartile ﴾Q1﴿. The IQR is represented on the plot by the length of the box.
If a whisker appears very long compared to the length of the box, then there may be one or more outliers on that whisker.
Outliers can be mathematically identified as follows: Subtract 1.5 times the IQR from the first quartile. Any value less than that difference is an outlier. Add 1.5 times the IQR to the third quartile. Any value greater than that sum is an outlier.
0904 Variability.notebook March 12, 2014
Comparing Data Sets Using
BoxandWhisker Plots
Comparing Data Sets Using
BoxandWhisker Plots
0904 Variability.notebook March 12, 2014
These boxandwhisker plots compare the ages of the first ten U.S. presidents with the ages of the last ten presidents (through George W. Bush) when they took office.
The median for the first ten presidents is slightly greater. The range for the last ten presidents is greater.
A. Compare the medians and ranges.
0904 Variability.notebook March 12, 2014
Box and Whisker Plot Questions
Use the arrows at the bottom to start and to move between questions
0904 Variability.notebook March 12, 2014
1 What does the point labeled C represent on the box plot?
A Mean
B Median
C Mode
D Range
0904 Variability.notebook March 12, 2014
2 What do the points labeled B and D represent on the box plot?
A Mean and mode
B Mean and median
C Least and greatest value
D Lower and upper quartile
0904 Variability.notebook March 12, 2014
3 What do the points labeled A and E represent on the box plot?
A Mean and mode
B Mean and median
C Least and greatest value
D Lower and upper quartile
0904 Variability.notebook March 12, 2014
4 What does the length of the box plot tell you about the data set?
A How many quartiles the box plot has.
B How many data points are in the data set.
C How close or far apart the data is grouped.
D How many times a certain data value occurs.
0904 Variability.notebook March 12, 2014
5 What is the median of the data set?
A 8
B 12
C 15
D 19
0904 Variability.notebook March 12, 2014
6 What is the least and greatest value of the data set?
A 6 and 8
B 6 and 19
C 8 and 15
D 15 and 19
0904 Variability.notebook March 12, 2014
7 What is the range of the data set?
A 6
B 12
C 13
D 19
0904 Variability.notebook March 12, 2014
8 Data points in the first quartile are between which two points?
A 6 and 8
B 8 and 12
C 12 and 15
D 15 and 19
0904 Variability.notebook March 12, 2014
9 Which data point is part of Q3?
A 16
B 19
C 21
D 23
0904 Variability.notebook March 12, 2014
10 Which statement is true?
A There are more data points in Q2 than in Q3.
B There are fewer data points in Q2 than in Q3.
C Data points in Q2 are more spread out than in Q3.
D Data points in Q2 are more bunched than in Q3.
0904 Variability.notebook March 12, 2014
Problems
0904 Variability.notebook March 12, 2014
B. Compare the interquartile ranges.
The interquartile range is greater for the last ten presidents.
0904 Variability.notebook March 12, 2014
These boxandwhisker plots compare the scores per quarter at Super Bowl XXXVII. The data in the T column is left out because it is a total of all the quarters.
0904 Variability.notebook March 12, 2014
Compare the medians and the ranges.
The median for Tampa Bay is significantly greater, and the range for Tampa Bay is slightly greater.
0904 Variability.notebook March 12, 2014
Compare the interquartile ranges.
The interquartile range is slightly greater for Oakland.
0904 Variability.notebook March 12, 2014
Math HumorWhy did the student shave after reviewing his homework? The teacher took off points because his whiskers were too long.
0904 Variability.notebook March 12, 2014
Learning ObjectiveStudent will learn to find measures of variability and show understanding through class work.
0904 Variability.notebook March 12, 2014
Complete Packet pg. 20
#16
0904 Variability.notebook March 12, 2014
0904 Variability.notebook March 12, 2014
19 23 29 32 33 34 42 47 59
11 21 26 32 38 41 54 56 58
l l l l l l l l l l 15 20 25 30 35 40 45 50 55 60
l l l l l l l l l l l10 15 20 25 30 35 40 45 50 55 60
0904 Variability.notebook March 12, 2014
The range of the middle half of the data is greater for data set B.
The medians are equal, but data set B has a much greater range.
0904 Variability.notebook March 12, 2014
Learning ObjectiveStudent will learn to find measures of variability and show understanding through class work.
0904 Variability.notebook March 12, 2014
Homework
Packet p 2122#111
Packet p 2122#111
Homework
0904 Variability.notebook March 12, 2014
the rule is every third student
both the grocery store and the customersfrom the stores are chosen at random
population: Friday’s customers; sample: customers asked by the restaurant owner: possible bias; not all customers are likely to order food with salsa.
Population: customers; sample: customers who rent dramas; possible bias: the customers who choose their favorite movie are the people who like dramas.
0904 Variability.notebook March 12, 2014
0904 Variability.notebook March 12, 2014
0904 Variability.notebook March 12, 2014
0904 Variability.notebook March 12, 2014
0904 Variability.notebook March 12, 2014
0904 Variability.notebook March 12, 2014