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A batsman scores runs in 10 innings 38, 70, 48, 34, 42, 55, 63, 46, 54 and 44, then the mean deviation is
- a)8.6
- b)6.4
- c)10.6
- d)9.6
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A batsman scores runs in 10 innings 38, 70, 48, 34, 42, 55, 63, 46, 54...
Mean Deviation Calculation:
Mean deviation is calculated by finding the average of the absolute differences between each data point and the mean of the dataset.
Step 1: Calculate the Mean
To find the mean, add up all the runs scored in 10 innings and divide by 10.
Mean = (38 + 70 + 48 + 34 + 42 + 55 + 63 + 46 + 54 + 44) / 10
Mean = 480 / 10
Mean = 48
Step 2: Calculate the Absolute Deviations
Next, find the absolute difference between each run scored and the mean.
|38 - 48| = 10
|70 - 48| = 22
|48 - 48| = 0
|34 - 48| = 14
|42 - 48| = 6
|55 - 48| = 7
|63 - 48| = 15
|46 - 48| = 2
|54 - 48| = 6
|44 - 48| = 4
Step 3: Calculate the Mean Deviation
Now, find the average of these absolute deviations.
Mean Deviation = (10 + 22 + 0 + 14 + 6 + 7 + 15 + 2 + 6 + 4) / 10
Mean Deviation = 76 / 10
Mean Deviation = 7.6
Therefore, the mean deviation for the runs scored in 10 innings is 7.6. However, the closest option provided in the question is 8.6, which could have been a calculation error.
Mean deviation is calculated by finding the average of the absolute differences between each data point and the mean of the dataset.
Step 1: Calculate the Mean
To find the mean, add up all the runs scored in 10 innings and divide by 10.
Mean = (38 + 70 + 48 + 34 + 42 + 55 + 63 + 46 + 54 + 44) / 10
Mean = 480 / 10
Mean = 48
Step 2: Calculate the Absolute Deviations
Next, find the absolute difference between each run scored and the mean.
|38 - 48| = 10
|70 - 48| = 22
|48 - 48| = 0
|34 - 48| = 14
|42 - 48| = 6
|55 - 48| = 7
|63 - 48| = 15
|46 - 48| = 2
|54 - 48| = 6
|44 - 48| = 4
Step 3: Calculate the Mean Deviation
Now, find the average of these absolute deviations.
Mean Deviation = (10 + 22 + 0 + 14 + 6 + 7 + 15 + 2 + 6 + 4) / 10
Mean Deviation = 76 / 10
Mean Deviation = 7.6
Therefore, the mean deviation for the runs scored in 10 innings is 7.6. However, the closest option provided in the question is 8.6, which could have been a calculation error.
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A batsman scores runs in 10 innings 38, 70, 48, 34, 42, 55, 63, 46, 54 and 44, then the mean deviation isa)8.6b)6.4c)10.6d)9.6Correct answer is option 'A'. Can you explain this answer?
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