Question

14, 23, 31, 29, 33 what is the standard deviation for this set of population data?

Answer 1

The correct answer is 6.9

Answer 2

Explanation:

The given set of the data is:

14, 23, 31, 29, 33

In order to find the standard deviation of the given data, firstly find the mean of the given data, thus

`Mean=(14+23+31+29+33)/(5)=(130)/(5)=26`

Now,

For each number in the set, subtract the mean and square the result, thus

Data
`(x-{\overline{x}})^2`

14 144

23 9

31 25

29 9

33 49

Now, Add all of the squares together and find the mean (average) of the squares , therefore

`Mean average of squares=(236)/(5)=47.2`

Thus, Standard deviation of the given data is given as:

`SD=√(47.2)=6.9`

Therefore, the standard deviation of the given data set is 6.9.