Question

Find out the standard deviation of the height of 10 men given below:
160, 160, 161, 162, 163, 163, 163, 164, 170...
(1 Point)

2.72

2.52

3.72

4.12​

Answer 1

Answer:

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Explanation:

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Answer 2

(a) 2.72

Standard deviation

To find the standard deviation of the given values, we have to follow the below-mentioned steps:

Find the mean of all the numbers

    (160 + 160 + 161 + 162 + 163 + 163 + 163 + 164 + 164 + 170) = 1630

    1630/10 = 163

Find individual absolute deviation using the formula $|x_{i} -x|^{2}$

|163 – 160| = 3 = 9

|163 – 160| = 3 = 9

|163 – 161| = 2 = 4

|163 – 162| = 1 = 1

|163 – 163| = 0 = 0

|163 – 163| = 0 = 0

|163 – 163| = 0 = 0

|163 – 164| = 1 = 1

|163 – 164| = 1 = 1

|163 – 170| = 7 = 49

Now add all the values found in step 2

     9+9+4+1+0+0+0+1+1+49 = 74

Divide it by the number of values in the data set

      74/10 = 7.4

σ = $\sqrt{7.4}$ = 2.72

Hence, the standard deviation for the following values 160, 160, 161, 162, 163, 163, 163, 164, 164, and 170 is 2.72.