Statistics
Mean Deviation
IIT-JEE 1996
Grade 11
Question:
The mean deviation about the mean for the data 3, 10, 10, 4, 7, 10, 5 is:
(1) $\frac{18}{7}$
(2) $\frac{7}{18}$
(3) 4
(4) 18
Step-by-Step Solution
Key Concept: First find the mean of the seven values, then compute $\sum |x_i - \bar{x}|$ and divide this sum by the number of observations, 7.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)