Concept explainers
i.
To find: The range for the 2011 stats to the range for the 2012 stats.
i.
Answer to Problem 9IP
Range for 2011 is 21 and Range for 2012 is 26.
Explanation of Solution
Given Information:It is given a table which shows the number of points came scored per basketball game.
Data set for 2011
Range: highest-lowest
= 27-6 = 21
Quartiles:-
The first quartile is median of first half = 9
The third quartile is median of second half = 17
Interquartile range = 17-9 = 8
Outliers =
Subtract 12 from the first quartile and add 12 to the third quartile
Any value that is less than -3 as greater than 29 is an outlier
There are no outliers.
Data set for 2012
Range = highest-lowest
= 40-14 = 26
Quartiles
First quartile = 16, third quartile = 24
Interquartile range = 24-16 = 8
Outliers: Any value that is less than 4 or greater than 36 is an outlier
The data for 2011 have a range of 21, the data for 2012 vary more with a range of 26.
ii.
To find: Whether the data for either year contains an outlier.
ii.
Answer to Problem 9IP
The data set for 2012 contains an outlier.
Explanation of Solution
Given Information: It is given a table which shows the number of points came scored per basketball game.
The data set for 2012 contain an outlier.
iii.
To find: The outlier for the number of points scored affect the range for that year.
iii.
Answer to Problem 9IP
The outlier increases the mean from 19.5 to 20 and median from 18 to 20.
Explanation of Solution
Given Information: It is given a table which shows the number of points came scored per basketball game.
Without the outlier
Mean =
Median = 18
With the outlier
Mean =
Median = 20
The outlier increases the mean from 19.5 to 21 and median from 18 to 20.
Chapter 10 Solutions
Glencoe Math Accelerated, Student Edition
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