Question

Marks of six students are tabulated below:

Name : Raj Anil Amit Om Rita Renu

Marks : 54 50 52 48 50 52

From the population, tabulated above, you are supposed to choose a sample of size two.

(a) Determine, how many samples of size two are possible

(b) Construct sampling distribution of means by taking samples of size 2 and organize the data.

Answer 1

(a)

$Number = \frac{N!}{n!(N-n)!} \\ n = 2 \\ Number = \frac{6!}{2!(6-2)!} = 15$

(b)