Home › CDS › Statistics › Question CDS 2023 · PYQ · Statistics · medium
In a grouped frequency distribution with classes 2050-2550 (5), 2550-3050 (10), 3050-3550 (k), 3550-4050 (8), 4050-4550 (2), 4550-5050 (10), if average weekly wage is ₹3520, what is the value of k? A. 12 B. 15 ✓ Correct C. 20 D. 10 Midpoints: 2300, 2800, 3300, 3800, 4300, 4800. Σf·x = 5·2300+10·2800+k·3300+8·3800+2·4300+10·4800 = 11500+28000+3300k+30400+8600+48000 = 126500+3300k. Σf = 35+k. Mean: (126500+3300k)/(35+k) = 3520. 126500+3300k = 3520(35+k) = 123200+3520k. 3300 = 220k ⟹ k = 15.
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