Correct Answer - Option 1 : 9
Formula used
Mean Deviation about median= \(∑\rm \frac{|x_{i} - M|}{n}\)
Where,
xi = individual term
M = Median
n = total number of terms
Calculation:
52, 56, 66, 70, 75, 80, 82
Median = 70
⇒ M = 70
⇒ The value of (xi - M) are
⇒ -18, -14, -4, 0, 5, 10, 12
⇒ Mean Deviation = \(\rm \frac{18 + 14 + 4 + 0 + 5 + 10 + 12}{7}\)
∴ The mean deviation about median is 9
The mean is the average of a data set.
The median is the middle of the set of numbers.
Mean deviation about mean
\(∑\rm \frac{|x_{i} - x̅|}{n}\) where x̅ = mean
xi = individual term
n = total number of terms
