The following data represent weights in kilograms of corn harvest from a random sample of 72 experimental plots in a farm somewhere in northern Cebu. For convenience, the data are presented in increasing order. 7.8  9.1 9.5 10.0 10.2 10.5 11.1 11.5 11.7 11.8 12.2 12.2 12.5 13.1 13.5 13.7 13.7 14.0 14.4 14.5 14.6 15.2 15.5 16.0 16.0 16.1 16.5 17.2 17.8 18.2 19.0 19.1 19.3 19.8 20.0 20.2 20.3 20.5 20.9 21.1 21.4 21.8 22.0 22.0 22.4 22.5 22.5 22.8 22.8 23.1 23.1 23.2 23.7 23.8 23.8 23.8 23.8 24.0 24.1 24.1 24.5 24.5 24.9 25.1 25.2 25.5 26.1 26.4 26.5 26.7 27.1 29.5 a. Compute the five- number summary b. Compute the interquartile range c. Make a.box-and-whiker plot.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following data represent weights in kilograms of corn harvest from a random sample of 72 experimental plots in a farm somewhere in northern Cebu. For convenience, the data are presented in increasing order.

7.8  9.1 9.5 10.0 10.2 10.5 11.1 11.5 11.7 11.8 12.2 12.2 12.5 13.1 13.5 13.7 13.7 14.0 14.4 14.5 14.6 15.2 15.5 16.0 16.0 16.1 16.5 17.2 17.8 18.2 19.0 19.1 19.3 19.8 20.0 20.2 20.3 20.5 20.9 21.1 21.4 21.8 22.0 22.0 22.4 22.5 22.5 22.8 22.8 23.1 23.1 23.2 23.7 23.8 23.8 23.8 23.8 24.0 24.1 24.1 24.5 24.5 24.9 25.1 25.2 25.5 26.1 26.4 26.5 26.7 27.1 29.5

a. Compute the five- number summary

b. Compute the interquartile range

c. Make a.box-and-whiker plot.

d. Discuss the distribution. Does the lower half of the distribution show more data spread than the other half?

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