Math, asked by nish72, 1 year ago

the maximum bowling speed (km/h) of 33 players at a cricket coaching table. find the modal bowling speed of a

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Answered by akshatkhurania
32
So the answer is 106km/h
Follow the steps given in the attachment and solve the calculation according to BODMAS
Hope this Helps
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Answered by saltywhitehorse
16

Answer:

The maximum or modal bowling speed is = 106 km/hr

Step-by-step explanation:

bowling speed (km/h)               No. of playerf_{i}

85-100                                              9

100-115                                              11

115-130                                              8

130-145                                             5

Maximum frequency f_{m}=11

Therefore the modal class of maximum frequency is = 100-115

Lower limit of the modal class = L=100

Frequency of the pre-modal class(85-100)=f_{1}=9

Frequency of the post-modal class(115-130)=f_{2}=8

width of the modal class h=115-100=15

\therefore\text{Mode}=L+\frac{[f_{m}-f_{1}]}{[2f_{m}-f_{1}-f_{2}]}\times{h}\\\\\Rightarrow\text{Mode}=100+\frac{(11-9)}{2\times11-9-8}\times15\\\\\Rightarrow\text{Mode}=100+\frac{2}{5}\times15\\\\\Rightarrow\text{Mode}=100+6\\\\\Rightarrow\text{Mode}=106

Therefore the maximum or modal bowling speed is = 106 km/hr

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