The distribution of weights (kg) of 50 students is:
30-35 -> 9, 35-40 -> 11, 40-45 -> 14, 45-50 -> 10, 50-55 -> 6.
Find the median weight (kg).

Question

The distribution of weights (kg) of 50 students is: 30-35 -> 9, 35-40 -> 11, 40-45 -> 14, 45-50 -> 10, 50-55 -> 6. Find the median weight (kg).

Accepted Answer

41.79. n = 50, n/2 = 25. Cumulative: 9, 20, 34, 44, 50. Median class 40-45, l = 40, cf = 20, f = 14, h = 5. Median = 40 + 25 - 20/14 × 5 = 40 + 5/14 × 5 = 40 + 25/14 = 40 + 1.786 = 41.79 kg (approx).

The distribution of weights (kg) of 50 students is:
30-35 -> 9, 35-40 -> 11, 40-45 -> 14, 45-50 -> 10, 50-55 -> 6.
Find the median weight (kg).

Step-by-Step Solution

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More Class 10 Median of Grouped Data practice

The distribution of weights (kg) of 50 students is:30-35 -> 9, 35-40 -> 11, 40-45 -> 14, 45-50 -> 10, 50-55 -> 6.Find the median weight (kg).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Median of Grouped Data practice

The distribution of weights (kg) of 50 students is:
30-35 -> 9, 35-40 -> 11, 40-45 -> 14, 45-50 -> 10, 50-55 -> 6.
Find the median weight (kg).