Concept explainers
To Explain: the few lines on the shape, spread, centre and outliers using the provided back-to-back stem plot.
Explanation of Solution
Given:
Calculation:
For male, the provided data from the stem plot
4, 5, 5, 5, 6, 7, 7, 7, 7, 8, 10, 10, 10, 10, 11, 12, 14, 22, 35, 38
For female, the provided data from the stem plot
13, 13, 13, 15, 19, 22, 23, 23, 24, 26, 26, 30, 31, 34, 38, 49, 50, 50, 51, 57
Shape:
7 and 10 were the maximum times for male data (4). So, in this info, there are two modes. The distribution of the male data is, in other words, bimodal.
Just 13 have reached the maximum time for female data (3). So, one
Centre:
For male information
Mean = (4+5+...+38)/20 = 233/20 = 11.65
For female information
Mean = (13+13+..+51+57)/20 = 607/20 = 30.3
Spread:
For male information
Standard deviation = 9.18
1st
2nd Quartile,
3rd Quartile,
IQR =
= 11.5-6.5
= 5
For female information
Range = 57-13 = 44
Standard deviation = 13.88
1st Quartile, Q1 = 20.5
2nd Quartile, Q2 = 26
3rd Quartile, Q3 = 43.5
Interquartile Range,
IQR =
= 43.5-20.5
= 23
Outlier:
For male information
Outliers will be the values if they fall outside
So, the outliers are: 22, 35, 38
For female information Outliers will be the values if they fall outside
So, the outliers are: 57
Chapter 1 Solutions
The Practice of Statistics for AP - 4th Edition
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Essentials of Statistics, Books a la Carte Edition (5th Edition)
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Statistical Reasoning for Everyday Life (5th Edition)
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