A cricketer’s average for 15 matches is 24 runs. In the next five matches play

Question

A cricketer’s average for 15 matches is 24 runs. In the next five matches played by him, he scored 75, 40, 12, 36 and 57 runs. Find his new average for the 20 matches.

Options:

A . 29 run

B . 31 run

C . 33 run

D . 35 run

Answer: Option A
To find the new average for the cricketer after 20 matches, we need to first find the total runs he scored in all 20 matches, and then divide by 20. Let's break down the problem and solve it step by step:

The cricketer's average for 15 matches is 24 runs. Therefore, his total runs in 15 matches would be 15 x 24 = 360 runs.
In the next five matches, he scored 75, 40, 12, 36, and 57 runs. Therefore, his total runs in these five matches would be 75 + 40 + 12 + 36 + 57 = 220 runs.
His total runs in all 20 matches would be 360 + 220 = 580 runs.
To find the new average, we divide the total runs (580) by the total number of matches (20): 580 / 20 = 29 runs.

Therefore, the cricketer's new average for the 20 matches is 29 runs.
Now, let's look at some relevant definitions and formulas:

Average (also known as mean) is a statistical measure that represents the central value of a dataset. It is calculated by summing up all the values in the dataset and dividing by the number of values.
To calculate the average of a set of numbers, we use the formula: Average = (Sum of values) / (Number of values)
In this problem, we are given the average (24 runs) and the number of matches (15). We use the formula to find the total runs (360 runs) in those matches.
We are then given the runs scored in the next five matches, and we add them up to find the total runs (220 runs) in those matches.
We add the total runs from both sets of matches to find the total runs (580 runs) in all 20 matches.
Finally, we use the formula to find the new average (29 runs) for all 20 matches.

In conclusion, the correct answer is option A, which is 29 runs.

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3 Comments

Kanhiya mudgil 2019-10-04 13:23:44

15 matches - - > average is 24 Their sum is 15*24=360. Remaining 5 match addition: 75+40+12+36+57=220 New average (220+360)/20.(new observation is now 20) After solving we will get 29 runs

Shivangi 2018-08-26 15:09:14

15 matches - - > average is 24
Their sum is 15*24=360.
Remaining 5 match addition:
75+40+12+36+57=220
New average (220+360)/20.(new observation is now 20)
After solving we will get 29 runs

Hetal 2018-06-07 13:25:16

Solution please.