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Question
The maximum bowing speed (km/hour) or 33 players at a cricket coaching centre is given below:
| Bowling Speed(km/hour) | 85-100 | 100-115 | 115-130 | 130-145 |
| Numbers of players | 9 | 11 | 8 | 5 |
find the modal bowling speed of players.
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Solution
The maximum bowling speed (km/hour) of 33 players at a cricket coaching centre is given below:
| Bowling Speed(km/hour) | 85-100 | 100-115 | 115-130 | 130-145 |
| Numbers of players | 9 | 11 | 8 | 5 |
Find the modal bowling speed of players.
| Bowling Speed(km/hour) | Numbers of players |
| 85-100 | 9 f1 |
| 100-115 | 11 fm |
| 115-130 | 8 f2 |
| 130-145 | 5 |
Here the maximum frequency fm = 11.
The corresponding class 100 - 115 is the modal class.
L = 100, fm = 11, f1=9, f2 = 8, h = 15.
Mode = `L + ((f_m-f_1)/(2f_m-f_1-f_2))xxh`
= `100+((11-9)/(2(11)-9-8))xx15`
=`100+(2/(22-17))xx15`
=`100+(30/5)`
= 100 + 6
= 106
Mode of bowling speed is 106 km/hr.
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