Question

6. The maximum bowling speeds in km/hr of 33 players at a cricket coaching centre are given as follows:
Speed(km/hr) 85 - 100
100 - 115
115 - 130
130 - 145
No. of players
11
9
8
5
Calculate the median bowling speed.​

Answer 1

ANSWER

Here, maximum frequency is 11

The corresponding class namely 100−115 is modal class.

We know that

Mode =L+[

2f

m

−f

1

−f

2

f

m

−f

1

]h

Here L=100,f

m

=11,f

1

=9,f

2

=8,h=15

Mode =100+[

2×11−9−8

11−9

]×15

=100+[

22−17

2

]×15

=100+

5

2

×15

=100+6=106

∴ The modal bowling speed of player is 106 km/hr.