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If mean = 3×Median−Modep\frac{3 \times \text{Median} - \text{Mode}}{p}p3×Median−Mode​​, then the value of p is:
Question

If mean = 3×MedianModep\frac{3 \times \text{Median} - \text{Mode}}{p}​, then the value of p is:

A.

13\frac{1}{3}​​

B.

2

C.

12\frac{1}{2}​​

D.

1

Correct option is B

Given:

Mean = 3×MedianModep\frac{3 \times \text{Median} - \text{Mode}}{p}

Find the value of p.

Formula Used:
From the empirical relation:

Mean = 3×MedianMode2\frac{3 \times \text{Median} - \text{Mode}}{2}

Solution:
Comparing the given expression:

Mean =3×MedianModep= \frac{3 \times \text{Median} - \text{Mode}}{p}

with standard form:

Mean =3×MedianMode2 \frac{3 \times \text{Median} - \text{Mode}}{2}

we get p = 2

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