Show your work to find the mean and standard deviation of the data. round to the nearest tenth. 20, 16, 18, 14, 9, 20, 16

Mean of given data is 16.15 and standard deviation is 3.56

Step-by-step explanation:  

We have been given a data

We need to find the mean and standard deviation:

mean=

Here sum of observations are 20+16+18+14+9+20+16=113

Number of observations are 7

Substituting the values in the formula for mean we will get

Formula for standard deviation is

x are the values given for the data

n is 7 the number of observations

On substituting the values in the given formula we will get

After simplification we will get

After further simplification we will get

Therefore mean of given data is 16.15 and standard deviation is 3.56