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

Step-by-step 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

Now,

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

Data                                                    

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

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

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