Question

The mean deviation of 3, 4, 5, 6, 7 is

• A. (3)5
• B. (3)2
• C. (2)5
• D. (1)2

Hint:

To calculate the mean deviation, subtract the mean from each number, take the absolute value, and then find the average of those values.

Answer 1

The Correct Option is D

The mean deviation is the average of the absolute differences from the mean. First, calculate the mean of the numbers: \[ \mu = \frac{3 + 4 + 5 + 6 + 7}{5} = 5. \] Now, calculate the absolute differences from the mean: \[ |3 - 5| = 2, \quad |4 - 5| = 1, \quad |5 - 5| = 0, \quad |6 - 5| = 1, \quad |7 - 5| = 2. \] The mean deviation is the average of these differences: \[ \text{Mean Deviation} = \frac{2 + 1 + 0 + 1 + 2}{5} = \frac{6}{5} = 1.2. \]