Question

The mean of 24,27,43,48,x-1 ,x+3 68,73,80,90 is 58 .find the value of x .​

Answer 1

Answer:

mean = sum of observations/total number of observations

According to the question

$\frac{24 + 27 + 43 + 48 + x - 1 + x + 3 + 68 + 73 + 80 + 90}{10} = 58$

$\frac{455 + 2x}{10} = 58$

$455 + 2x = 580$

$2x = 580 - 455$

$2x = 125$

$x = \frac{125}{2}$

$x = 62.5$

the value is x is 62.5

Answer 2

Step-by-step explanation:

Given:-

The mean of 24,27,43,48,x-1, x+3 68,73, 80 ,90 is 58

To find :-

Find the value of x ?

Solution:-

Given observations are : 24,27,43,48,x-1 ,x+3 68,73,80,90

Sum of the observations

= 24+27+43+48+x-1+x+3+68+73+80+90

=2x+455

Number of observations = 10

We know that

Mean = Sum of all observations/Number of all observations

=> Mean = (2x+455)/10

According to the given problem

The mean of the given observations = 58

=> (2x+455)/10 = 58

=> 2x+455 = 58×10

=> 2x+455 = 580

=> 2x = 580-455

=> 2x = 125

=> x = 125/2

=>x = 62.5

Therefore,x = 62.5

Answer :-

The value of x = 62.5

Check:-

If x = 62.5 then x-1 = 62.5-1 = 61.5

x+3 = 62.5+3 = 65.5

Now the given observations are

24,27,43,48,61.5,65.5,68,73,80,90

Mean of the given observations

=(24+27+43+48+61.5+65.5+68+73+80+9)/10

=> Mean = 580/10

=> Mean = 58

Verified the given relations in the given problem.

Used formulae:-

Mean = Sum of all observations/Number of all observations