Question

Calculate median marks(less than ) 15,30,45,60,75,90 no of students 18 ,35 ,62,81,95,100

Answer 1

Answer:

38.33

Step-by-step explanation:

           Cumulative Freuncy            Frequency

0- 15                18                                 18

15-30               35                                17

30-45              62                               27

45-60              81                                 19

60-75              95                                14

75 -90             100                               5

Median Will lie in 30-45

Estimated Median = L +  ((n/2) − B ) × w /G

where:

L is the lower class boundary of the group containing the median = 30

n is the total number of values = 100

B is the cumulative frequency of the groups before the median group = 35

G is the frequency of the median group = 27

w is the group width = 15

30 + ( 50 - 35)*15/27

= 30 + 8.33

= 38.33