Question

Compute the median of the following data: Marks More than or equal to 70 More than or equal to 60 More than or equal to 50 More than or equal to 40 More than or equal to 30 More than or equal to 20 More than or equal to 10 Numbers of students 0 11 23 43 58 72 82

Answer 1

First prepare the cumulative frequency table:

Marks

No. of students

Cumulative frequency

80 - 90

150 – 141 = 9

9

90 – 100

141 – 124 = 17

9 +17 = 26

100 - 110

124 – 105 = 19

26 +19 = 45

110 - 120

105 – 60 = 45

45 + 45 = 90

120 -130

60 – 27 = 33

90 + 33 = 123

130 – 140

27 – 12 = 15

123 + 15 = 138

140 -150

12- 0 = 12

138 + 12 =150