Question

*
If the mean is 7.5, then 10, 19 ,P, 12, 16,5
Find the value of P.​

Answer 1

$\LARGE{\bf{\underline{\underline{GIVEN:-}}}}$

• The mean of the observations 10, 19, P, 12, 16,5 is 7.5

$\LARGE{\bf{\underline{\underline{TO \ FIND:-}}}}$

• Value of P.

$\LARGE{\bf{\underline{\underline{SOLUTION:-}}}}$

We know that:

$\to \boxed{\sf{\blue{\overline{Mean}=\dfrac{Sum \ of \ observations}{Total \ number \ of \ observations} }}}$

Here,

⇒ Mean is 7.5

⇒ Sum of observations → 10+19+P+12+16+5 = 62+P.

⇒ Number of observations are 6.

So,

$\to \sf 7.5=\dfrac{62+P}{6}$

$\to \sf 45=62+P$

$\to \sf{\red{P=-17}} \red{\bigstar}$

The value of P is -17.

Answer 2

Answer:

Mean= Sum of all items/ number of items

Sum of all items= 10+ 19 +P+ 12 +16 +5

                          = 29 + P +33

                           = 62+P .....(1)

Mean = 7.5

Number of items= 6

Therefore value= 7.5x6= 45,,,,,,(2)

Equating the two (1) & (2)

62+P = 45

=> P= - 62+45

     = - (-)17

Find the value of P.​= (-17)

Step-by-step explanation:

hope it helps