A survey of 200 households in a Chennai ward records monthly electricity bills (Rs): 0-500 - 20, 500-1000 - 60, 1000-1500 - 70, 1500-2000 - 30, 2000-2500 - 20. Find the median bill (Rs).

Question

A survey of 200 households in a Chennai ward records monthly electricity bills (Rs): 0-500 -> 20, 500-1000 -> 60, 1000-1500 -> 70, 1500-2000 -> 30, 2000-2500 -> 20. Find the median bill (Rs).

Accepted Answer

1142.86. n = 200, n/2 = 100. Cumulative: 20, 80, 150, 180, 200. Median class 1000-1500, l = 1000, cf = 80, f = 70, h = 500. Median = 1000 + 100 - 80/70 × 500 = 1000 + 20/70 × 500 = 1000 + 142.857 = 1142.86 (approx).

A survey of 200 households in a Chennai ward records monthly electricity bills (Rs):
0-500 -> 20, 500-1000 -> 60, 1000-1500 -> 70, 1500-2000 -> 30, 2000-2500 -> 20.
Find the median bill (Rs).

Step-by-Step Solution

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More Class 10 Median of Grouped Data practice

A survey of 200 households in a Chennai ward records monthly electricity bills (Rs):0-500 -> 20, 500-1000 -> 60, 1000-1500 -> 70, 1500-2000 -> 30, 2000-2500 -> 20.Find the median bill (Rs).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Median of Grouped Data practice

A survey of 200 households in a Chennai ward records monthly electricity bills (Rs):
0-500 -> 20, 500-1000 -> 60, 1000-1500 -> 70, 1500-2000 -> 30, 2000-2500 -> 20.
Find the median bill (Rs).