Question

cumulative series of marks more than 0,10,20,30,40,50,60,70 frequency 100,92,78,44,32,18,15,13​

Answer 1

Answer:

Find the median form the following:

Marks (More than) 0 10 20 30 40 50 60 70

No. of Students 100 92 78 44 32 18 15 13

ANSWER:

Class Interval Frequency

(f) Cumulative Frequency

(c.f.)

0 − 10

10 − 20 8

14 8

22 (c.f.)

20 − 30 34 (f) 56

30 − 40

40 − 50

50 − 60

60 − 70

70 − 80 12

14

3

2

13 68

82

85

87

100

N=∑f=100

Median class is given by the size of (N2)th item, i.e.(1002)th item, which is 50th item.

This corresponds to the class interval of 20 − 30, so this is the median class.

Median=l1+N2−c.f.f×iso, Median=l1+1002−c.f.f×ior, Median=20+50−2234×10or, Median=20+8.235=28.23Thus, Median=28.23