Question

173 145 205 192 197 227 156 240 172 185 208 186 190 167 215 228 196 183 225 216

Find the sample mean ̄xand sample standard deviations.

Answer 1

Solution :

We are given a data of sample size n = 20

173 ,145, 205, 192, 197, 227, 156, 240, 172, 185, 208, 186, 190, 167, 215, 228, 196, 183, 225, 216

Using this, first we find sample mean() and sample standard deviation(s).

=   

= (173 + 145.......+ 216)/20

= 195.30

Now ,

s =   

s =  (173 - 195.3)² + ... + (216 - 195.3)²/ 20 - 1

s = 25.47

Answer :

The sample mean = 195.30

The sample standard deviations = 25.47