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

Chapter 15, Problem 57

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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 purposeThe Karstens family loves to read. The parents keep trackof the number of books read each month by each of the 5children in the family. For the month of June, the number ofbooks read by the children was 11, 8, 10, 7, and 4. Find themean and the standard deviation of the number of booksread by the Karstens children during the month of June(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 purposeThe Karstens family loves to read. The parents keep trackof the number of books read each month by each of the 5children in the family. For the month of June, the number ofbooks read by the children was 11, 8, 10, 7, and 4. Find themean and the standard deviation of the number of booksread by the Karstens children during the month of June(round your answer to the nearest hundredth).

ANSWER:

Step 1 of 2

We have to find the standard deviation and mean of the number of books read by the Karstens Children during the month of June.

The number of books read by the children is a set

The mean of the data set , is .

The standard equation for Standard Deviation  is

 

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