Question

find the median of the data
Runs
No. of cricketer
O-10
10- 20
20-30
30-40
40-50
3. 8. 19. 25. 30​

Answer 1

Answer:

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so here sum of all frequencies ie summation fi=85

thus first calculate cummulative frequencies of all classes

thus cummulative frequencies of all classes are as follows

Class 0-10=3

Class 10-20=3+8=11

Class 20-30=11+19=30

Class 30-40=30+25=55

Class 40-50=55+30=85

so here as summation fi=85

N/2=85/2=42.5

so the class whose cumulative frequency is just greater than 42.5 is class 30-40

thus our median class is Class 30-40

thus accordingly

L=30

N/2=42.5

c.f=30

f=25

h=10

so now using

median=L+[N/2-cf/f)×h

=30+(42.5-30/25)×10

=30+(12.5×10)÷25

=30+125/25

=30+5

=35

median=35

hence the median if given frequency distribution is 35