Test Index

Measures of Central Tendency and Dispersion

Question : 169 of 211

Marks: +1, -0

6,9,11,10,12,12

Solution:

Concept:

Mean Deviation about Mean is the average of absolute deviations from the mean.

Explanation:

First, compute the mean:

\bar{x} = \frac{6+9+11+10+12+12}{6} = \frac{60}{6} = 10

Next, find absolute deviations:

|6-10|=4

|9-10|=1

|11-10|=1

|10-10|=0

|12-10|=2

|12-10|=2

Sum of absolute deviations =

4+1+1+0+2+2 = 10

Mean Deviation =

\frac{10}{6} = \frac{5}{3} \approx 1.6667

Answer:

1.67

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