To find:
The sample standard deviation for the given data set.
Answer to Problem 16E
Solution:
The sample standard deviation for the given data set is 4.74
Explanation of Solution
Given information:
The following data represent high temperature for the cities in the southeast (in degrees Fahrenheit).
High Temperatures for Cities in the Southeast
Approach:
A stem leaf plot is combination of two columns. Last significant digit of each data should be placed in the column of leaves and others digit in the column of stem. Each stem should be listed in numerical order and each leaf should be placed next to its stem.
Formula used:
The formula to calculate the sample standard deviation for given set of data is,
Where,
Calculation:
Following is the set of data corresponding to the given stem and-leaf plot.
Here,
Construct the table for sample standard deviation of the given set of data.
110.25 | ||
72.25 | ||
30.25 | ||
20.25 | ||
12.25 | ||
6.25 | ||
6.25 | ||
0.25 | ||
0.25 | ||
0.25 | ||
2.25 | ||
2.25 | ||
6.25 | ||
6.25 | ||
12.25 | ||
12.25 | ||
92 | 20.25 | |
92 | 20.25 | |
93 | 30.25 | |
95 | 56.25 |
Calculate the sum of
Substitute 427 for
The sample standard deviation for the given data set is 4.74
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Chapter 3 Solutions
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