Question

The mean of 5 numbers is 24. If one more number is included, then the mean is 25. Find the included number​

Answer 1

Answer:

Included number = 30

Step-by-step explanation:

Given:

• Mean of 5 numbers = 24
• If one more number is added, Mean of 6 numbers (5 numbers + included number) = 25

Mean:

Mean is simply defined as average of numbers

Mean = Sum of all numbers / Total numbers

Solution:

Let sum of 5 numbers be S

Mean of 5 numbers = 24

=> S/5 = 24

=> S = 24*5 = 120

S = 120

Let the number added be 'n'

New sum of 6 numbers = S + n = 120 + n

Mean of 6 numbers = 25

=> (120 + n)/6 = 25

=> 120 + n = 25*6

=> 120 + n = 150

=> n = 150 - 120

=> n = 30

n = 30