Question

Calculate the value of variance if median =23
mode = 29 and coefficient of variation is 50%.
10​

Answer 1

SOLUTION

GIVEN

Median = 23 , mode = 29 and coefficient of variation is 50%

TO DETERMINE

The value of variance

EVALUATION

Here it is given that median = 23 , mode = 29

We know that

Mode + 2 × Mean = 3 × Median

⇒ 29 + 2 × Mean = 3 × 23

⇒ 29 + 2 × Mean = 69

⇒ 2 × Mean = 40

⇒ Mean = 20

Now

$\displaystyle\sf{ Coefficient \: of \: Variation = \frac{Standard \: Deviation }{Mean} \times 100 }$

$\displaystyle\sf{ \implies \: \frac{Standard \: Deviation }{20} \times 100 = 50}$

$\displaystyle\sf{ \implies \: Standard \: Deviation = 10}$

Now value of variance

$\displaystyle\sf{ = {( Standard \: Deviation) }^{2} }$

$\displaystyle\sf{ = {10}^{2} }$

$= 100$

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Answer 2

Answer:

Step-by-step explanation:

100