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Concept explainers
The range and standard deviation of the given data set.
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Answer to Problem 3Q
Range for the data for female:
Range for the data for male:
Standard Deviation for the data for female =
Standard Deviation for the data for male =
Explanation of Solution
Given:
The given data set is:
Calculation:
The range and standard deviation of the given data can be calculated as:
Order the given data set for female:
Range of the given data set is the difference between the largest and smallest data value.
Therefore, range for the data for female:
Order the given data set for male:
Therefore, range for the data for male:
Now, to find the standard deviation for female:
Step 1: Calculate the mean.
Mean =
Step 2: Calculate the deviation for each data value.
Step 3: Calculate the square of each deviation.
Step 4: Calculate the mean of squared deviations/variance.
Step 5: Make use of calculator to find the square roots of the variance.
Total =
Standard Deviation =
Now, to find the standard deviation for male:
Step 1: Calculate the mean.
Mean =
Step 2: Calculate the deviation for each data value.
Step 3: Calculate the square of each deviation.
Step 4: Calculate the mean of squared deviations/variance.
Step 5: Make use of calculator to find the square roots of the variance.
Total =
Standard Deviation =
Chapter 7 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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