Question

The mean of the following data is 37. Find y. 28,35,25,32,y,40,45,50

Answer 1

Answer:

y = 41

Step-by-step explanation:

37 = 28 + 35 + 25 + 32 + y + 40 + 45 + 50

                                 8

37 x 8 = 28 + 35 + 25 + 32 + y + 40 + 45 + 50

296 = 255 + y

y = 296 - 255

y = 41

Therefore y is 41...

Answer 2

The value of y = 41

Given :

The mean of the observations 28 , 35 , 25 , 32 , y , 40 , 45 , 50 is 37

To find :

The value of y

Solution :

Step 1 of 3 :

Write down the given observations

The given observations are 28 , 35 , 25 , 32 , y , 40 , 45 , 50

Step 2 of 3 :

Form the equation

Sum of the observations

= 28 + 35 + 25 + 32 + y + 40 + 45 + 50

= y + 255

Number of observations = 8

Mean of the observations

$\displaystyle \sf{ = \frac{y + 255}{8} }$

By the given condition

$\displaystyle \sf{ \frac{y + 255}{8} = 3 7}$

Step 3 of 3 :

Find the value of y

$\displaystyle \sf{ \frac{y + 255}{8} = 3 7}$

$\displaystyle \sf{ \implies y + 255 = 37 \times 8}$

$\displaystyle \sf{ \implies y + 255 = 296}$

$\displaystyle \sf{ \implies y = 296 - 255}$

$\displaystyle \sf{ \implies y = 41}$

Hence the required value of y = 41