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The mean deviation about the mean for the following data: 6, 7, 10, 12, 13, 4, 8, 12.
  • a)
    9.2
  • b)
    1.54
  • c)
    1.89
  • d)
    2.75
Correct answer is option 'D'. Can you explain this answer?
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The mean deviation about the mean for the following data: 6, 7, 10, 12...
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The mean deviation about the mean for the following data: 6, 7, 10, 12...
Calculating the Mean Deviation about the Mean:
To calculate the mean deviation about the mean, we first need to find the mean of the given data set.

Finding the Mean:
First, add up all the numbers in the data set:
6 + 7 + 10 + 12 + 13 + 4 + 8 + 12 = 72
Next, divide the sum by the total number of values in the data set:
72 / 8 = 9
So, the mean of the data set is 9.

Calculating the Mean Deviation:
Next, we find the deviation of each number from the mean:
|6-9| = 3
|7-9| = 2
|10-9| = 1
|12-9| = 3
|13-9| = 4
|4-9| = 5
|8-9| = 1
|12-9| = 3
Now, we calculate the mean deviation by finding the average of these deviations:
(3 + 2 + 1 + 3 + 4 + 5 + 1 + 3) / 8 = 22 / 8 = 2.75
Therefore, the correct answer is option D) 2.75.
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The mean deviation about the mean for the following data: 6, 7, 10, 12, 13, 4, 8, 12.a)9.2b)1.54c)1.89d)2.75Correct answer is option 'D'. Can you explain this answer?
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