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The manufacturing company in problem 3.60 also 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 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 an insulator before it breaks. Data are collected from a sample of 30 insulators. The file contains the strengths, as follows: 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. Compute the mean, median, range, and standard deviation for the force needed to break the insulators. Show your working. b. Interpret the measures of central tendency and variability in (a).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 33PPS

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The manufacturing company in problem 3.60 also 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 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 an insulator before it breaks. Data are collected from a sample of 30 insulators. The file
contains the strengths, as follows:
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. Compute the mean, median, range, and standard deviation for the force needed to
break the insulators. Show your working.
b. Interpret the measures of central tendency and variability in (a).

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