The marks of 60 students of a Lucknow school are given as a 'less than' cumulative frequency table: less than 10 - 5, less than 20 - 15, less than 30 - 33, less than 40 - 50, less than 50 - 60. Find the median marks.

Question

The marks of 60 students of a Lucknow school are given as a 'less than' cumulative frequency table: less than 10 -> 5, less than 20 -> 15, less than 30 -> 33, less than 40 -> 50, less than 50 -> 60. Find the median marks.

Accepted Answer

28.33. Convert to ordinary frequencies: 5, 10, 18, 17, 10 (n = 60). n/2 = 30. Cumulative: 5, 15, 33, 50, 60. Median class 20-30, l = 20, cf = 15, f = 18, h = 10. Median = 20 + 30 - 15/18 × 10 = 20 + 15/18 × 10 = 20 + 8.333 = 28.33 (approx).

The marks of 60 students of a Lucknow school are given as a 'less than' cumulative frequency table:
less than 10 -> 5, less than 20 -> 15, less than 30 -> 33, less than 40 -> 50, less than 50 -> 60.
Find the median marks.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Median of Grouped Data practice

The marks of 60 students of a Lucknow school are given as a 'less than' cumulative frequency table:less than 10 -> 5, less than 20 -> 15, less than 30 -> 33, less than 40 -> 50, less than 50 -> 60.Find the median marks.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Median of Grouped Data practice

The marks of 60 students of a Lucknow school are given as a 'less than' cumulative frequency table:
less than 10 -> 5, less than 20 -> 15, less than 30 -> 33, less than 40 -> 50, less than 50 -> 60.
Find the median marks.