A factory records the lifetime (hours) of 100 bulbs grouped as: 0-20 - 10, 20-40 - 12, 40-60 - 23, 60-80 - 24, 80-100 - 16, 100-120 - 9, 120-140 - 6. Find the median lifetime (hours).

Question

A factory records the lifetime (hours) of 100 bulbs grouped as: 0-20 -> 10, 20-40 -> 12, 40-60 -> 23, 60-80 -> 24, 80-100 -> 16, 100-120 -> 9, 120-140 -> 6. Find the median lifetime (hours).

Accepted Answer

64.17. Total = 100, n/2 = 50. Cumulative: 10, 22, 45, 69, 85, 94, 100. Median class 60-80, l = 60, cf = 45, f = 24, h = 20. Median = 60 + 50 - 45/24 × 20 = 60 + 5/24 × 20 = 60 + 4.167 = 64.17 (approx).

A factory records the lifetime (hours) of 100 bulbs grouped as:
0-20 -> 10, 20-40 -> 12, 40-60 -> 23, 60-80 -> 24, 80-100 -> 16, 100-120 -> 9, 120-140 -> 6.
Find the median lifetime (hours).

Step-by-Step Solution

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More Class 10 Median of Grouped Data practice

A factory records the lifetime (hours) of 100 bulbs grouped as:0-20 -> 10, 20-40 -> 12, 40-60 -> 23, 60-80 -> 24, 80-100 -> 16, 100-120 -> 9, 120-140 -> 6.Find the median lifetime (hours).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Median of Grouped Data practice

A factory records the lifetime (hours) of 100 bulbs grouped as:
0-20 -> 10, 20-40 -> 12, 40-60 -> 23, 60-80 -> 24, 80-100 -> 16, 100-120 -> 9, 120-140 -> 6.
Find the median lifetime (hours).