The average for a set of 5 numbers is 24. After another number is added
MATHEMATICS
SAT 2021
The average for a set of 5 numbers is 24. After another number is added to the set, the average changes to 26. What number was added to the set?
- A. 38
- B. The answer cannot be determined with the information given.
- C. 28
- D. 36
Correct Answer: D. 36
Explanation
Recall how to find the mean: Mean Or Average=Sum of all values/Number of values First, find the sum of all the values when there are just 5 numbers in the set. 24=Sum5 Sum=120 Next, find the sum of all the values when there are 6 numbers in the set. 26=Sum6 Sum=156 To find what number is added, take the difference between the sum of 6 values and the sum of 5 values. New number=156?120=36
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *