Question

Batsman 'A' scored the following number of runs in six innings
36, 35, 50, 46, 60, 55

Batsman 'B' scored the following number of runs in six innings
20, 100, 50, 35, 10, 45

Calculate the mean runs scored by them in an inning. Whose average run scored is better? [3 MARKS]

Answer 1

Formula: 1 Mark
Solution: 2 Marks

Total runs by batsman 'A' is 36 + 35 + 50 + 46 + 60 + 55 = 282
Total runs by batsman 'B' is 20 + 100 + 50 + 40 + 10 + 50 = 270

To find the mean, we find the sum of all the observations and divide it by the number of observations.

$\text{Mean}=\frac{\text{Sum of all observation}}{\text{Total number of observation}}$

$\therefore \text{Mean for batsman 'A'}=\frac{282}{6}=47$.

Thus, the mean runs scored by the batsman 'A' in an inning is 47.

$\text{Mean for batsman 'B'}=\frac{270}{6}=45$.

Thus, the mean runs scored by the batsman 'B' in an inning is 45.

On an average batsman-A scored better than batsman-B.