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The median of the frequency distribution:

MarksNumber of students
0-57
5-105
10-152
15-204
20-251
25-306
30-353
35-408
40-459
45-505

Solution

✅ Correct Option: 4

Total N=50N = 50, so N/2=25N/2 = 25. Cumulative frequencies are 7, 12, 14, 18, 19, 25, 28, 36, 45, 50, so the median class is 25-30 with l=25l = 25, cf =19= 19, f=6f = 6, h=5h = 5.

Median =25+(25−19)/6×5=25+5=30= 25 + (25-19)/6 \times 5 = 25 + 5 = 30.

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