Question

Four alternative options are given for the following statement. Select the correct option from it: If n =10 and Mean = 12, then Σ fx is:A. 120 B. 1200 C. 12 D. 13

Answer 1

We have,

N = 10 and mean = 12
So, £fx = ( N× Mean )
= (10 × 12)
= 120
Thus, A. is the correct option.

Answer 2

We know,
n is the number of observations and $\sum$fx is the sum of observations.



And, from the properties of statics, we know : -

Mean = ( sum of observations ) / ( number of observations )


Then,
Sum of n observations = $\sum$fx

Total number of observations = 10



Therefore,
$= > 12 = \dfrac{ \sum \: fx}{10} \\ \\ = > 12 \times 10 = \sum \: fx \\ \\ = > 120 = \sum fx$


Hence,
Option A is the correct option.