Question

the mean of 5 numbers is 30,if one number is excluded there mean becomes 28 find the excluded number ?

Answer 1

Mean = Sum of observations / no.of observations,

Let sum of 5 numbers be x,
=> x/5 = 30 
=> x = 150, We got the sum of 5 numbers, Now let the excluded number be a,
Sum of numbers excluding a is x-a, No. of observations will be 4,

=> (x-a)/4 = 28
=>x-a = 112 , We know that x = 150, Substitute it in here,
=> a = 150-112 = 38,
Therefore the excluded number = 38,

Hope you understand, Have a great day !!

Answer 2

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