Question

50) The average of a set of numbers reduces from 14 to 11 when the number 35 is removed. om How many numbers were in the original set? a)8 b) 11 c)21 d) 25 ​

Answer 1

Answer:

Step-by-step explanation:

Given:

Average of  a set of number is 14 it reduced to 11 when the number 35 is removed from a set.

Consider,

Total numbers in a  data set is n

Sum is S,So,Average is equals to S/n

14=S/n

S=14 n-->Equation 1

New Average is 11 When the number 35 is removed from set.

11 = S-35/n-1

S-35=11(n-1)

S-35=11n-11

S-11n=24-->Equation 2

In Equation 1 we have S=14 n substitute in Equation 2

14n-11n=24

3n=24

n=8

So,Total numbers in a original set equals to 8.