What is the mean deviation of the data 2, 9, 9, 3, 6, 9, 4 ?

  1. 2.23
  2. 2.57
  3. 3.23
  4. 3.57

Answer (Detailed Solution Below)

Option 2 : 2.57
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Detailed Solution

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Concept:

To find the mean deviation, use the following steps

Step 1: Find the mean value for the given data values

Step 2: Now, subtract mean value form each of the data value given (Note: Ignore the minus symbol)

Step 3: Now, find the mean of those values obtained in step 2.

Mean deviation 

Calculations:

Given data is 2, 9, 9, 3, 6, 9, 4 

⇒ n = 7

Mean 

⇒  

Mean deviation 

⇒ Mean deviation 

⇒ Mean deviation =  2.57

Hence, the mean deviation of the data 2, 9, 9, 3, 6, 9, 4 is 2.57

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