Question

The 25th and the 75th percentiles of a data set are 20 and 36 respectively. Find the co-efficient of quartile deviation of the data set. *

Answer 1

question=

The 25th and 75th percentiles of a frequency distribution are 72.18 and 103.99 respectively. Find the quartile deviation. ?

Solution=we know that, the Quartile Deviation is equal to the half of the Inter-Quartile Range .

so,Quartile Deviation (Qd) = (Q3 - Q1) / 2 .

The first quartile or the lower quartile or the 25th percentile is denoted by Q1 .

The third quartile or the upper quartile or 75th percentile is denoted by Q3 .

we have given that,

25th percentiles = Q1 = 72.18

75th percentiles = Q3 = 103.99 .

Putting both values we get,

→ Qd = (Q3 - Q1) / 2

→ Qd = (103.99 - 72.18) / 2

→ Qd = 31.81/2

→ Qd = 15.095 (Ans.)

Hence, the quartile deviation of the frequency distribution is 15.095 .

Answer 2

Step-by-step explanation:

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