Question

If the mean of 5 observations x, 50, 54, 46, 50 is 52 then value of x is
(0) 62
(ii) 52
(iii) 60
(iv) 50
VIN
Datistics​

Answer 1

Answer:

50

Step-by-step explanation:

50 is the mean

hope its help you✌

Answer 2

The value of x = 60

Given :

The mean of 5 observations x, 50, 54, 46, 50 is 52

To find :

The value of x is

(i) 62

(ii) 52

(iii) 60

(iv) 50

Solution :

Step 1 of 3 :

Write down the given observations

Here the given observations are x, 50, 54, 46, 50

Sum of the observations

= x + 50 + 54 + 46 + 50

= x + 200

Step 2 of 3 :

Form the equation to find the value of x

Number of observations = 5

$\displaystyle \sf{Mean = \frac{200 + x}{5} }$

Now it is given that the mean of the observations = 52

By the given condition

$\displaystyle \sf{ \frac{200 + x}{5} = 52}$

Step 3 of 3 :

Find the value of x

$\displaystyle \sf{ \frac{200 + x}{5} = 52}$

$\displaystyle \sf{ \implies 200 +x = (52 \times 5) }$

$\displaystyle \sf{ \implies 200 +x = 260 }$

$\displaystyle \sf{ \implies x = 260 - 200 }$

$\displaystyle \sf{ \implies x = 60 }$

The value of x = 60

Hence the correct option is (iii) 60

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