Question

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

Answer 1

Answer:

what is percentiles....

Answer 2

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 .

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