A class teacher recorded the number of hours 40 students of a Pune school spend on homework per week: 0-5 - 6, 5-10 - 10, 10-15 - 14, 15-20 - 7, 20-25 - 3. Find the median number of hours.

Question

A class teacher recorded the number of hours 40 students of a Pune school spend on homework per week: 0-5 -> 6, 5-10 -> 10, 10-15 -> 14, 15-20 -> 7, 20-25 -> 3. Find the median number of hours.

Accepted Answer

11.43. n = 40, n/2 = 20. Cumulative: 6, 16, 30, 37, 40. Median class 10-15, l = 10, cf = 16, f = 14, h = 5. Median = 10 + 20 - 16/14 × 5 = 10 + 4/14 × 5 = 10 + 20/14 = 10 + 1.4286 = 11.43 (approx).

A class teacher recorded the number of hours 40 students of a Pune school spend on homework per week:
0-5 -> 6, 5-10 -> 10, 10-15 -> 14, 15-20 -> 7, 20-25 -> 3.
Find the median number of hours.

Step-by-Step Solution

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More Class 10 Median of Grouped Data practice

A class teacher recorded the number of hours 40 students of a Pune school spend on homework per week:0-5 -> 6, 5-10 -> 10, 10-15 -> 14, 15-20 -> 7, 20-25 -> 3.Find the median number of hours.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Median of Grouped Data practice

A class teacher recorded the number of hours 40 students of a Pune school spend on homework per week:
0-5 -> 6, 5-10 -> 10, 10-15 -> 14, 15-20 -> 7, 20-25 -> 3.
Find the median number of hours.