Question

If x bar =25 and the coefficient of variation is 20° .find the variance.​
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Answer 1

Answer:

Variance = 25

Step-by-step explanation:

x bar = 25

co - efficient of Variation = 20%

Also,

C.V = (S.D. ÷ x bar) × 100

then

20 = S.D ÷ 25) × 100

20 × 25 = 100S.D

÷ 100

5.00 = S.D

S.D. = 5

W.K.T.,

Variance =(S.D)²

Variance = 5²

Variance = 25

Answer 2

The value of variance is 25.

Step-by-step process

We are given:

X bar(mean)= 25

Value of coefficient of variation= 20°

We know from the formula for coefficient of variation:

Coefficient of variation= (Standard deviation ÷X bar) × 100

Plugging in the values:

20 = (S.D ÷25)×100

(20 ×25)÷100= S.D

5= Standard deviation

Now, the formula for variance is:

Variance=$(Standard deviation)^{2}$

Putting the values, we get

Variance= $5^{2}$

Variance= 25

Result:

Thus, the variance is 25.

(#SPJ3)