Question

following is the monthly income of eight families in a locality .
monthly income (Rs.): 70,10,500,75,13,250,8,42
find out Arithmetic mean using direct method and shortcut method .​

Answer 1

Answer:

The arithmetic mean is 121.

Explanation:

The total numbers of families (N) is 8.

The assumed average (A) here is 75, which lies in the middle of the distribution.

The total monthly income of all the families is

= 70 + 10 + 500 + 75 + 13 + 250 + 8 + 42

= 968

The arithmetic mean through the direct mean

=  $\frac{ \sum X }{N}$

= $\frac{968}{8}$

= 121

The summation of deviation (D) from assumed mean

= -5 + (-65) + 425 + 0 + (-62) + 175 + -67 + -33

= 368

The arithmetic mean through direct method is

= A + $\frac{\sum D}{N}$

= 75 + $\frac{368}{8}$

= 75 + 46

= 121

Answer 2

Explanation:

Full explanation in short form . Hope this fill help you .