(a)
To explain : The reason for which the standard deviation of the first set of data is equal to, smaller, or larger than the standard deviation of the second set of data.
The standard deviation of the first set of data will be smaller than the standard deviation of the second set of data.
Given information :
The two data sets are:
Explanation :
The standard deviation is based upon the deviation of the data from the average and the data values.
Consider the given set of data.
It can be observed that both the data sets are equally consistent but the data values of second set is higher than the first set.
Therefore, the standard deviation of the first set of data will be smaller than the standard deviation of the second set of data.
(b)
To calculate : The standard deviation for the given set data.
The standard deviation of first and second set of data is
Given information :
The two data sets are:
Formula used :
The standard deviation of a population
Variance
Calculation :
Find the mean of the first set of data.
Find the standard deviation
Find the mean of the second set of data.
Find the standard deviation
Therefore, the standard deviation of first and second set of data is
Chapter 10 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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