Question

If the mean of the following data is 20.6. Find the value of p.
x:10 15 p 25 35y:3 10 25 7 5

Answer 1

The value of p is 20.

Step-by-step explanation:

Let x represents the values and y represents the frequency of corresponding values in x, then from the value of mean i.e. 20.6 we have to calculate p.

So, from the formula of mean, we have

$\frac{3 \times 10 + 10 \times 15 + 25 \times p + 7 \times 25 + 5 \times 35}{3 + 10 + 25 + 7 + 5} = 20.6$

⇒ $\frac{530 + 25p}{50} = 20.6$

⇒ 25p = 20.6 × 50 - 530

⇒ 25p = 500

⇒ p = 20

Therefore, the value of p is 20. (Answer)