Question

Suppose there are 20 people in a room and the mean amount of cash held by these 20 people is $11.50 per person. If two people enter the room carrying$28.00 and \$10.00 respectively, what does the mean amount of cash in the room become?

1. The mean amount of cash in the room become 12.18 dollars.
It is required to find the mean.

### What is mean?

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Mean = (Sum of all the observations/Total number of observations).
Given that:
There are 20 people with a mean of 11.5 we multiply that:
20×11.5=230
We add the 38 dollars that the new two people are bringing in:
230+38=268
And we divide that by the new total of people by 22, we get
268/22= 12.18
Therefore, the mean amount of cash in the room become 12.18 dollars.