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11 grade maths others

The maximum bowling speed (km/hour) of 33 players at a cricket coaching centre is given below. Find the modal bowling speed of players.

  • Bowling speed(km/hr)
  • 85-100
  • 100-115
  • 115-130
  • 130-145
  • No. of players
  • 9
  • 11
  • 8
  • 5

A. Rs. 101 km/hour

B. Rs. 106 km/hour

C. Rs. 115 km/hour

D. Rs. 118 km/hour

Profile image of Aniket Singh
9 Months agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
ApprovedApproved Tutor Answer9 Months ago

To find the modal bowling speed from the given data, we first need to identify the class interval with the highest number of players. Here’s the breakdown:

Bowling Speed Intervals

  • 85-100 km/hr: 9 players
  • 100-115 km/hr: 11 players
  • 115-130 km/hr: 8 players
  • 130-145 km/hr: 5 players

Identifying the Mode

The mode is the interval with the most players, which in this case is:

  • 100-115 km/hr with 11 players

Conclusion

Therefore, the modal bowling speed of the players is in the range of 100-115 km/hour. Since the question asks for a specific speed, we can take the midpoint of this interval, which is:

107.5 km/hour. However, since this is not one of the options, we can choose the closest value, which is 106 km/hour.

The correct answer is B. Rs. 106 km/hour.