To find the standard deviation of a data set, follow these steps:

1. Find the mean (average) of the data set. Add all the numbers together and divide by the number of items in the set. For this data set, (8+14+13+10+17)/5 = 12.4.

2. Subtract the mean from each number in the data set and square the result. This gives you:
(8-12.4)^2 = 19.36
(14-12.4)^2 = 2.56
(13-12.4)^2 = 0.36
(10-12.4)^2 = 5.76
(17-12.4)^2 = 21.16

3. Find the mean of these squared differences. Add them all together and divide by the number of items. (19.36+2.56+0.36+5.76+21.16)/5 = 9.84.

4. Take the square root of the mean of these squared differences. The square root of 9.84 is approximately 3.1.

So, the standard deviation of this data set, rounded to the nearest tenth, is 3.1. Therefore, none of the options A, B, C, or D is correct.

Question

To find the standard deviation of a data set, follow these steps:

1. Find the mean (average) of the data set. Add all the numbers together and divide by the number of items in the set. For this data set, (8+14+13+10+17)/5 = 12.4.

2. Subtract the mean from each number in the data set and square the result. This gives you: 
   (8-12.4)^2 = 19.36
   (14-12.4)^2 = 2.56
   (13-12.4)^2 = 0.36
   (10-12.4)^2 = 5.76
   (17-12.4)^2 = 21.16

3. Find the mean of these squared differences. Add them all together and divide by the number of items. (19.36+2.56+0.36+5.76+21.16)/5 = 9.84.

4. Take the square root of the mean of these squared differences. The square root of 9.84 is approximately 3.1.

So, the standard deviation of this data set, rounded to the nearest tenth, is 3.1. Therefore, none of the options A, B, C, or D is correct.

Knowee AI · Accepted Answer

To find the standard deviation of a data set, follow these steps:

1. Find the mean (average) of the data set. Add all the numbers together and divide by the number of items in the set. For this data set, (8+14+13+10+17)/5 = 12.4.

2. Subtract the mean from each number in the data set and square the result. This gives you: 
   (8-12.4)^2 = 19.36
   (14-12.4)^2 = 2.56
   (13-12.4)^2 = 0.36
   (10-12.4)^2 = 5.76
   (17-12.4)^2 = 21.16

3. Find the mean of these squared differences. Add them all together and divide by the number of items. (19.36+2.56+0.36+5.76+21.16)/5 = 9.84.

4. Take the square root of the mean of these squared differences. The square root of 9.84 is approximately 3.1.

So, the standard deviation of this data set, rounded to the nearest tenth, is 3.1. Therefore, none of the options A, B, C, or D is correct.

Use a calculator to find the standard deviation of this data set:8, 14, 13, 10, 17Round your answer to the nearest tenth.A.5B.12.4C.2.8D.3.5

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