Question

40. The value of 3rd quartile is 61 & inter quartile
range of the set of observations is 48, then the
value of 1st quartile is
A. 24
B. 13
C. 64
D. 109​

Answer 1

Answer:

.............................

......

Answer 2

Answer:

The value of 1st quartile is 35.

Step-by-step explanation:

Given quartile range of the set od observation is 48.

Therefore Quartile Deviation (Q₍D) means the semi variation between upper quartile ( here 3rd quartile ) (Q₃) and lower quartile (here first quartile ) (Q₁

$Q₁ = 35$

We know,

$Q₍D = \frac{Q₃ − Q₁}{2}$

Given, QD=48 and Q₃= 61

So,

$48 = \frac{61 − Q₁}{2}$

$48 \times 2= {61 − Q₁}$

$Q₁ = 35$

The value of 1st quartile is 35.