Question

The mean of 8, 10 , P , 12 is 9. Find the value of P
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Answer 1

Answer:

The value of P is 6

Step-by-step Explanations :

Given : The mean of 8 , 10 , p , 12 is 9

To find : The value of P = ?

The mean of 8 , 10 , P , 12 is 9 -------------- ( given )

So,

8 + 10 + P + 12 / 4 = 9

30 + P / 4 = 9

30 + P = 9 × 4

30 + P = 36

P = 36 - 30

P = 6

Hence the value of P is 6

Answer 2

Answer:

Value of $p$ is $6$ .

Step-by-step explanation:

To find: value of $p$ .  

Given : mean of 8, 10 , P , 12 is 9.  

Solution :

• Average is the arithmetic mean.
• It is the ratio of sum of all the numbers given in data to the total number of observations.
• Formula: $Average \ or \ mean =\frac{\text { sum of all the observations }}{\text { total of observations }}$
• Here, sum of observations $8 + 10 +p + 12 = 30 + p$
• Total number of observations $= 4$
• Mean = $9$
• Substituting values in above formula,

         $9 = \frac{30 + p }{4} \\\\ 9\times 4 =30 + p \\\\ 36 = 30 + p \\\\ p = 36 - 30\\\\ p = 6$