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For the given data 23, 31, 43, 37, 51, 61, a, 32, 23, 27, 19 mean is 33, find the value of 'a' for the given set. 


1. 12
2. 14
3. 16
4. 24

1 Answer

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Best answer
Correct Answer - Option 3 : 16

Formula used :

Mean = sum of all values in the set/Number of values 

Calculations :

Sum of all values = 23 + 31 + 43 + 37 + 51 + 61 + a + 32 + 23 + 27 + 19

⇒ 347 + a 

Number of values = 11

According to the question 

Mean = 33 

⇒ (347 + a)/11 = 33 

⇒ 347 + a = 363 

⇒ a = 16  

∴ The value of 'a' is 16 

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