Use the following data set to find the sample statistics for the following data set. 1. (N) or (n) 2. (x-bar) or (μ) 3. (σ) or (s) Thanks!

(1) N or n = 20

(2) = 43.4

(3) σ = 9.78 and s = 10.04.

Step-by-step explanation:

We are given with the following data set below;

{51, 48, 42, 43, 48, 48, 46, 15, 29, 45, 47, 55, 46, 35, 47, 48, 54, 26, 53, 42}

(1) As we can see in the above data that there are 20 data values in our data set which means that the value of N or n (numner of observations) is 20.

(2) The formula for calculating Mean of the data, i.e. is given by;

        Mean  =  

              =  

              =    = 43.4

So, the value of is 43.4.

(3) The formula for calculating population standard deviation () is given by;

        Standard deviation, =  

             =  

             =  9.78

Similarly, the formula for calculating sample standard deviation (s) is given by;

        Sample Standard deviation, s =  

             =  

             =  10.04

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get