Find the mean deviation of the following distribution10,20,8,5,15,12
Step 1: Find the mean
Mean = (10 + 20 + 8 + 5 + 15 + 12) / 6
Mean = 70 / 6
Mean = 11.67
Step 2: Find the deviation of each value from the mean
Deviation = |Value - Mean|
Deviation for 10 = |10 - 11.67| = 1.67
Deviation for 20 = |20 - 11.67| = 8.33
Deviation for 8 = |8 - 11.67| = 3.67
Deviation for 5 = |5 - 11.67| = 6.67
Deviation for 15 = |15 - 11.67| = 3.33
Deviation for 12 = |12 - 11.67| = 0.33
Step 3: Find the mean deviation
Mean deviation = (1.67 + 8.33 + 3.67 + 6.67 + 3.33 + 0.33) / 6
Mean deviation = 23 / 6
Mean deviation = 3.83
Therefore, the mean deviation of the given distribution is 3.83.