Question

5. The following table gives the frequency distribution of marks obtained by 199 students in an
examination
Marks
10-20 21-30 31-40 41 - 50 51 - 60 61 - 70 71 - 80
No. of Students : 21
19 60
42
24
18
15
Calculate median marks and the percentage of failures if minimum marks for a pass is 35.​

Answer 1

Given : The following table gives the frequency distribution of marks obtained by 199 students in an  examination  

To Find : Calculate median marks and the percentage of failures if minimum marks for a pass is 35.​

Solution:

Marks     No. of Students :    CF

10- 20                21                   21

21- 30                19                    40

31- 40                60                  100

41 - 50              42                   142

51 - 60              24                   166

61 - 70               18                   184

71 - 80              15                    199

199/2  = 99.5

Median =  39.9   ≈ 40

Failure  =  21  + 40  + (60/2)  

= 21 + 40  +  30

= 91

Failure % =   45%

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