CA Foundation · Quantitative Aptitude · Measures of Central Tendency and Dispersion
For the observations 4, 7, 9, 12, 15, 18, 23 (n = 7), the first quartile is the (n+1)/4 th item and the third quartile is the 3(n+1)/4 th item of the ordered data. What is the quartile deviation?
Q1 is the 2nd item, 7, and Q3 is the 6th item, 18. Quartile deviation is half the difference, (18 - 7)/2 = 5.5.
- A4.5Correct
- B9.0
- C5.5
- D7.0
Explanation
Q1 is the 2nd item = 7 and Q3 is the 6th item = 18. Quartile deviation = (Q3 - Q1)/2 = (18 - 7)/2 = 5.5. Hence the correct value is 5.5; 9.0 is not obtained by any correct step.
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