The Mean deviation about Median for the given data.

52, 56, 66, 70, 75, 80, 82 is:

This question was previously asked in
SSC CGL JSO Tier-II, 2018 (Statistics) Official Paper-III (Held On: 14 Sept, 2019)
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  1. 9
  2. 7
  3. 3
  4. 6

Answer (Detailed Solution Below)

Option 1 : 9
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Detailed Solution

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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

Important Points

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

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