Solved: The purpose of Exercises 55 through 58 is to practice computing standard

Chapter 15, Problem 58

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QUESTION:

The purpose of Exercises 55 through 58 is to practice computing standard deviations by using the definition. Granted, computing standard deviations this way is not the way it is generally done in practice; a good calculator (or a computer package) will do it much faster and more accurately. The point is that computing a few standard deviations the old-fashioned way should help you understand the concept a little better. If you use a calculator or a computer to answer these exercises, you are defeating their purposeTom and Joe love to hike the trails around Cleansburg duringthe summer. This summer they went on hikes of 7, 14,18, 6, and 15 miles. Find the mean and the standard deviationof the length of the hikes Tom and Joe took this summer(round your answer to the nearest hundredth).

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QUESTION:

The purpose of Exercises 55 through 58 is to practice computing standard deviations by using the definition. Granted, computing standard deviations this way is not the way it is generally done in practice; a good calculator (or a computer package) will do it much faster and more accurately. The point is that computing a few standard deviations the old-fashioned way should help you understand the concept a little better. If you use a calculator or a computer to answer these exercises, you are defeating their purposeTom and Joe love to hike the trails around Cleansburg duringthe summer. This summer they went on hikes of 7, 14,18, 6, and 15 miles. Find the mean and the standard deviationof the length of the hikes Tom and Joe took this summer(round your answer to the nearest hundredth).

ANSWER:

Step 1 of 2

We have to find the mean and the standard deviation of the length of the hikes Tom and Joe took in the summer.

The length of the hikes covered by Tom and Joe  is a set

The mean of the data set , is .

The standard equation for Standard Deviation  is

 

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