Question

The sum of 5 item is 33 and the sum of their squares is 235 then the variance is..... a)4.4 b) 3.44 c) 2.33 d) 0​

Answer 1

Answer:

The answer is :(b.) 3.44

Answer 2

Given:

The sum of 5 item = 33

The sum of their squares = 235

To find :

The variance.

Solution:

Variance = (Sum of the squares of the items / Number of items) -  Square of( sum of the items / Number of items)

Sum of their squares = 235

Number of items = 5

Sum of the items = 33

 Variance = $\frac{235}{5} - (\frac{33}{5} )^{2}$

Variance = 47 - $(6.6)^{2}$

Variance = 47 - 43.56

Variance = 3.44

Final answer:

The variance is 3.44

Thus, the correct option is b) 3.44