Question

the mean of 96,98,x,102,104 is 100,find x

Answer 1

Mean = Sum of the observations / total number of observations

Sum of the observations = 96 + 98 + x + 102 + 104 = 400 + x

Total number of observations = 5

Mean = 100

So, 100 = (400 + x) / 5
500 = 400 + x
x = 100

You can also verify it
Sum = 400 + x = 400 + 100 = 500
Total number of observations = 5
Mean = 500/5 = 100

So your required value of x is 100

Hope This Helps You!

Answer 2

Hi there !!

Number of observation = n  =  5 [ odd ]

96, 98 , x , 102 , 104

Mean of odd numbers = n + 1 / 2
                                    = 5 + 1 / 2 
                                    = 6 / 2
                                    = 3 rd observation = x
Hence , the value of x is 100

Lets check it Out !!

Mean = Sum of observations / No: of observations
          = [96 + 98 + 100 + 102 + 104 ] / 5
          = 500 /5
          = 100 
 
Hence , proved !!