(a)
Calculate the mean of the data provided.
(a)
Answer to Problem 2ICA
The mean of the data provided is 7.78 psi.
Explanation of Solution
Formula used:
Write the expression for mean.
Calculation:
Find the Sum of all the data provided.
Substitute 70 psi for Sum of all the data provided and 9 for Total number of data in equation (1) to calculate the mean.
Conclusion:
Thus, the mean of the data provided is 7.78 psi.
(b)
Calculate the median of the data provided.
(b)
Answer to Problem 2ICA
The median of the data provided is 6 psi.
Explanation of Solution
Calculation:
Median of the data set can be found out by arranging the data in ascending order and choosing the center number.
Arrange the given data in ascending order as follows.
The center value in the series is 6 psi, so the median of given data series is 6 psi.
Conclusion:
Thus, the median of the data provided is 6 psi.
(c)
Calculate the variance of the data provided.
(c)
Answer to Problem 2ICA
The variance of the data provided is 43.94 psi2.
Explanation of Solution
Formula used:
Write the expression for variance.
Calculation:
Substitute
Substitute 7.78 psi for Mean, 1 for
Conclusion:
Thus, the variance of the data provided is 43.94 psi2.
(d)
Calculate the standard deviation of the data provided.
(d)
Explanation of Solution
Formula used:
Write the expression for standard deviation.
Calculation:
Substitute 43.94 psi2 for Variance in equation (3) to obtain the value of standard deviation.
Conclusion:
Thus, the standard deviation of the data provided is 6.629 psi.
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Chapter 14 Solutions
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