a. If the measurements for one of the methods were converted to inches (1 inch = 2.54 cm), how would this affect the mean? The median? The quartiles? The standard deviation? b. If the students remeasured the ball, using a ruler marked in inches, would the effects on the mean, median, quartiles, and standard deviation be the same as in part (a) ? Explain.

Question

Mathematics

Eleanor Wilkins

13 November, 06:59

a. If the measurements for one of the methods were converted to inches (1 inch = 2.54 cm), how would this affect the mean? The median? The quartiles? The standard deviation? b. If the students remeasured the ball, using a ruler marked in inches, would the effects on the mean, median, quartiles, and standard deviation be the same as in part (a) ? Explain.

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Answers (1)

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Damian Daugherty · Answer 1

a) The statistics will increase (go up from inches to cm)

b) The statistics will reduce (come down from cm to inches)

Step-by-step explanation:

a) If the statistics were calculated in inches and the inches was converted to cm. The only thing that will happen to the statistics is that, their values will also change from inches to cm.

For instance:

mean = 1.2 inches, the conversion will only change mean to 3.048 cm

This will happen to all other statistics too. That is, their values will only change scale or take up the new scale conversion which will be equivalent to the initial scale if reconverted.