A company produces electric insulators. If the insulators break when in use, a short circuit is likely to occur. To test the strength of the insulators, destructive testing in high-powered labs is carried out to determine how much force is required to break the insulators. Force is measured by observing how many pounds must be applied to the insulator before it breaks. Force measurements are collected from a sample of 30 insulators and shown here.
1,870 1,728 1,656 1,610 1,634 1,784 1,522 1,696
1,592 1,662 1,866 1,764 1,734 1,662 1,734 1,774
1,550 1,756 1,762 1,866 1,820 1,744 1,788 1,688
1,810 1,752 1,680 1,810 1,652 1,736
a. Construct a cumulative percentage histogram.
b. Calculate the mean of this set of data.
c. Calculate the median.
d. Calculate the standard deviation and variance.