The quartiles of a variable are 45, 52 and 65 respectively. Its quartile deviation is(a) 10(b) 20(c) 25(d) 8.3
Question
Solution
To find the quartile deviation, we need to calculate the difference between the upper quartile (Q3) and the lower quartile (Q1).
Given that the quartiles are 45, 52, and 65, we can determine that Q1 is 45 and Q3 is 65.
The quartile deviation is calculated as (Q3 - Q1) / 2.
Substituting the values, we get (65 - 45) / 2 = 20 / 2 = 10.
Therefore, the quartile deviation is 10.
Hence, the correct answer is (a) 10.
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