Calculate the mean deviation of 1, 2, 3, 4, 5, 5, 6, 7, 8, 9.
Answer Details
To calculate the mean deviation, we first need to find the mean of the given data set.
Mean = (1 + 2 + 3 + 4 + 5 + 5 + 6 + 7 + 8 + 9) / 10
= 50 / 10
= 5
Next, we find the deviation of each value from the mean by subtracting the mean from each value:
1 - 5 = -4
2 - 5 = -3
3 - 5 = -2
4 - 5 = -1
5 - 5 = 0
5 - 5 = 0
6 - 5 = 1
7 - 5 = 2
8 - 5 = 3
9 - 5 = 4
To find the mean deviation, we need to find the average of the absolute values of these deviations.
Mean Deviation = (|-4| + |-3| + |-2| + |-1| + |0| + |0| + |1| + |2| + |3| + |4|) / 10
= 20 / 10
= 2
Therefore, the mean deviation of the given data set is 2.
The answer is (a) 2.