A 'more than' cumulative frequency table for daily earnings (Rs) of 50 vendors: more than 0 - 50, more than 50 - 42, more than 100 - 30, more than 150 - 16, more than 200 - 6. Find the median earning (Rs).

Question

A 'more than' cumulative frequency table for daily earnings (Rs) of 50 vendors: more than 0 -> 50, more than 50 -> 42, more than 100 -> 30, more than 150 -> 16, more than 200 -> 6. Find the median earning (Rs).

Accepted Answer

117.86. Ordinary frequencies (differences): 8, 12, 14, 10, 6 for classes 0-50, 50-100, 100-150, 150-200, 200-250 (n = 50). n/2 = 25. Cumulative: 8, 20, 34, 44, 50. cf just above 25 is 34, so median class is 100-150, l = 100, cf = 20, f = 14, h = 50. Median = 100 + 25 - 20/14 × 50 = 100 + 5/14 × 50 = 100 + 17.857 = 117.86 (approx).

A 'more than' cumulative frequency table for daily earnings (Rs) of 50 vendors:
more than 0 -> 50, more than 50 -> 42, more than 100 -> 30, more than 150 -> 16, more than 200 -> 6.
Find the median earning (Rs).

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More Class 10 Median of Grouped Data practice

A 'more than' cumulative frequency table for daily earnings (Rs) of 50 vendors:more than 0 -> 50, more than 50 -> 42, more than 100 -> 30, more than 150 -> 16, more than 200 -> 6.Find the median earning (Rs).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Median of Grouped Data practice

A 'more than' cumulative frequency table for daily earnings (Rs) of 50 vendors:
more than 0 -> 50, more than 50 -> 42, more than 100 -> 30, more than 150 -> 16, more than 200 -> 6.
Find the median earning (Rs).