Question

The mean deviation about the mean of the dataset \( \{22, 24, 30, 27, 29, 31, 25, 28, 41, 43, 30\} \) is:

• A. 4.5
• B. 4.9
• C. 5.3
• D. 5.5

Hint:

To compute mean deviation, use absolute differences from mean and divide their sum by total number of elements.

Answer 1

The Correct Option is A

Step 1: Calculate the mean \[ \text{Mean} = \frac{\text{Sum of elements}}{11} = \frac{330}{11} = 30 \] Step 2: Mean deviation \[ MD = \frac{1}{11} \sum |x_i - 30| = \frac{49.5}{11} = 4.5 \] Correct value: 4.5