Question

If for a normal distribution Q1= 54.52 and Q3 = 78.86, then the median of the distribution is

(a) 12.17 (b) 66.69

(c) 39.43 (d) None of these​

Answer 1

Answer:

66.69

Step-by-step explanation:

54.52 + 78.86 / 2

133.38 / 2

66.69

Answer 2

The median of the distribution is 66.69

Given :

For a normal distribution Q₁ = 54.52 and Q₃ = 78.86

To find :

The median of the distribution is

(a) 12.17

(b) 66.69

(c) 39.43

(d) None of these

Solution :

Step 1 of 2 :

Write down the value of Q₁ and Q₃

Here it is given that for a normal distribution Q₁ = 54.52 and Q₃ = 78.86

Step 2 of 2 :

Find median of the distribution

The median of the distribution

$\displaystyle \sf{ = \frac{1}{2}(Q_1 +Q_3 ) }$

$\displaystyle \sf{ = \frac{1}{2}(54.52 +78.86 ) }$

$\displaystyle \sf{ = \frac{1}{2} \times 133.38}$

$\displaystyle \sf{ = 66.69}$

Hence the correct option is (b) 66.69