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

Answer:

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

$Mean=\frac{14+23+31+29+33}{5}=\frac{130}{5}=26$

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

$Mean average of squares=\frac{236}{5}=47.2$

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

$SD=\sqrt{47.2}=6.9$

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