For the following pressure data, recorded in units of pound-force per square inch, answer the following questions
a. What is the mean of the data?
b. What is the median of the data?
c. What is the variance of the data?
d. What is the standard deviation of the data?
(a)
Calculate the mean of the data provided.
Answer to Problem 2ICA
The mean of the data provided is 23.3 psi.
Explanation of Solution
Formula used:
Write the expression for mean.
Calculation:
Find the sum of all the data provided.
Substitute
Conclusion:
Thus, the mean of the data provided is 23.3 psi.
(b)
Calculate the median of the data provided.
Answer to Problem 2ICA
The median of the data provided is
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.
Arranging in ascending order yields the series.
The center value in an ascending order series is
Conclusion:
Thus, the median of the data provided is
(c)
Calculate the variance of the data provided.
Answer to Problem 2ICA
The variance of the data provided is
Explanation of Solution
Formula used:
Write the expression for variance.
Calculation:
Substitute
Substitute 23.3 psi for Mean, 3 psi for
Conclusion:
Thus, the variance of the data provided is
(d)
Calculate the standard deviation of the data provided.
Answer to Problem 2ICA
The standard deviation of the data provided is
Explanation of Solution
Formula used:
Write the expression for standard deviation.
Calculation:
Substitute
Conclusion:
Thus, the standard deviation of the data provided is
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Chapter 14 Solutions
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
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