#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# The coefficients of variations for the two distributions are 60 and 70 and its standard deviations are 21 and 16 respectively. Determine its arithmetic mean.

Anand Kumar Pandey
askIITians Faculty 5818 Points
6 months ago
Dear Student

Given that,

Coefficient of Variations (C.V of 1st distribution) = 60, σ1= 21

Coefficient of Variations (C.V of 2nd distribution) = 70, σ2= 16

Let μ1and μ2are the means of the 1st and the 2nd distribution.

We know that the formula to find the arithmetic mean is given as:

Coefficient of Variations(C.V) = (Standard Deviation/arithmetic Mean) x 100

Thus, Arithmetic Mean = (Standard Deviation/C.V)x100

Therefore, the arithmetic mean for the 1st deviation is given by:

μ1= [σ1/ (c.v of 1st distribution)]x100

μ1= (21/60)x100

μ1= 0.35×100

μ1= 35

Similarly for μ2:

μ2= [σ2/ (c.v of 2nd distribution)]x100

μ2= (16/70)x100

μ2= 0.2285×100

μ2= 22.85

Thanks