A survey of 80 families in a Nagpur locality records the number of literate members per family: 0-2 - 6, 2-4 - 14, 4-6 - 24, 6-8 - 20, 8-10 - 16. Find the median number of literate members per family.

Question

A survey of 80 families in a Nagpur locality records the number of literate members per family: 0-2 -> 6, 2-4 -> 14, 4-6 -> 24, 6-8 -> 20, 8-10 -> 16. Find the median number of literate members per family.

Accepted Answer

5.67. n = 80, n/2 = 40. Cumulative: 6, 20, 44, 64, 80. Median class 4-6, l = 4, cf = 20, f = 24, h = 2. Median = 4 + 40 - 20/24 × 2 = 4 + 20/24 × 2 = 4 + 1.667 = 5.67 (approx).

A survey of 80 families in a Nagpur locality records the number of literate members per family:
0-2 -> 6, 2-4 -> 14, 4-6 -> 24, 6-8 -> 20, 8-10 -> 16.
Find the median number of literate members per family.

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More Class 10 Median of Grouped Data practice

A survey of 80 families in a Nagpur locality records the number of literate members per family:0-2 -> 6, 2-4 -> 14, 4-6 -> 24, 6-8 -> 20, 8-10 -> 16.Find the median number of literate members per family.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Median of Grouped Data practice

A survey of 80 families in a Nagpur locality records the number of literate members per family:
0-2 -> 6, 2-4 -> 14, 4-6 -> 24, 6-8 -> 20, 8-10 -> 16.
Find the median number of literate members per family.