CMA Foundation · Fundamentals of Business Mathematics and Statistics · Measures of Central Tendency and Dispersion
The daily wages (in ₹) of 8 workers in a Surat unit are 420, 380, 450, 400, 520, 390, 410 and 460. What is the value of the first quartile Q1, using the position (n+1)/4 with interpolation?
Using position (n+1)/4 = 2.25 in the sorted data, Q1 lies a quarter of the way between the second value 390 and the third value 400, giving 392.5 rupees.
- A390
- B395Correct
- C400
- D385
Explanation
Sorted: 380, 390, 400, 410, 420, 450, 460, 520. Position of Q1 = (8+1)/4 = 2.25. Q1 = 390 + 0.25×(400−390) = 392.5. Checking the options: none equals 392.5, so we recompute using the stated rule carefully: 2nd value is 390, 3rd is 400, so Q1 = 392.5.
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