Calculate Standard Deviation Round To Nearest Tenth

Find the standard deviation of the following set of numbers: 10,15,19,35,27,44. Round your answer to the nearest tenth.

To find the standard deviation of a set of numbers, we need to first find the mean.

Mean = (10+15+19+35+27+44)/6 = 150/6 = 25

Next, we find the difference between each number and the mean:

10 - 25 = -15

15 - 25 = -10

19 - 25 = -6

35 - 25 = 10

27 - 25 = 2

44 - 25 = 19

Then, we square each difference:

(-15)^2 = 225

(-10)^2 = 100

(-6)^2 = 36

10^2 = 100

2^2 = 4

19^2 = 361

Next, we find the average of these squared differences:

(225 + 100 + 36 + 100 + 4 + 361)/6 = 826/6 = 137.7

Finally, we take the square root of this average:

√137.7 ≈ 11.7

So the standard deviation is approximately 11.7 rounded to the nearest tenth.