Question

The mean of 10,12,16,20,p,26 is 17.Find the value of p.

Answer 1

Answer:  " p = 18 " .
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Explanation:
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The [arithmetic] mean =
 
{the sum of all the values in the data set} 
        divided by {the number of values in the number set} ; 
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  → 17 = (10 + 12 + 16 + 20 + 26 + p) / 6 ;  

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→ (10 + 12 + 16 + 20 + 26 + p)  = 17 * 6 ;

 →     (p + 84) = 102

Subtract "84" from each side of the equation; 
  to isolate "p" on one side of the equation; & to solve for "p" ; 

→ p + 84 – 84 = 102 – 84 ; 

→ p = 18 . 
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The answer is:  " p = 18 " .
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Answer 2

There are 6 numbers total

17 * 6 = 102

10 + 12 + 16 + 20 + 26 = 84

p = 102-84 = 18

p = 18