Question

The measured resistance of a sample 10 resistors from a box of 600 is as below. All values are in Ohms (ΩΩ).

55.87

57.23

54.77

58.99

54.35

54.64

55.29

51.42

55.03

54.75

1-What is the sample standard deviation?

2-What is the population standard deviation?

Answer 1

Let if xi is observation I=1,2..n

Then sample standard deviation and population standard deviation is given by

While

Population standard deviation is given by

Now

For our case we have n=10 and value of X is given in table

So put data in formulas given above then we get

Where