Question

During the first 11 months of a recent year, a certain charitable organization received an average (arithmetic mean) of $20,600 per month in donations. How much did the organization receive in donations during December of that year if the average amount of donations per month for the entire year was $21,000 ?A. $21,400

B. $21,600
C. $24,000
D. $25,400
E. $25,800

Answer 1

D. $25,400

Explanation:

Let x represent the score during December.

We have been given that during 1 months of a recent year, a certain charitable organization received an average (arithmetic mean) of $20,600 per month in donations.

The total score for 11 months would be
`11* 20,600=226600`.

We can set our given information in an equation as:

`\text{Average}=\frac{\text{Sum of all data points}}{\text{Total number of data points}}`

`(226,600+x)/(12)=21,000`

`(226,600+x)/(12)*12=21,000*12`

`226,600+x=252,000`

`226,600-226,600+x=252,000-226,600`

`x=25,400`

Therefore, the organization received $25,400 in donations during December and option D is the correct choice.