SOLUTION: A set of five non-negative integers has a mean of 5, a median of 6 and a mode of 7. What is the smallest possible member of the set?
Algebra.Com
Question 261179: A set of five non-negative integers has a mean of 5, a median of 6 and a mode of 7. What is the smallest possible member of the set?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
- If the mean of the five numbers is 5, then the sum of the five numbers must be 25.
- If the median of the five numbers is 6, then two of the five numbers must be lower than 6 and the other two numbers must be larger than 6.
- If the mode is 7 then there must be more 7's than any other number. Since there are two numbers above 6 (see #2), they both must be 7's!
- So four of the five numbers are: 5, 6, 7 and 7. These four numbers add up to 25. Since the five numbers must add up to 25 (see #1), then the fifth number must be 0!
RELATED QUESTIONS
A set of 7 positive integers has a unique mode of 1, a mean of 5, and a median of 6. What (answered by Boreal,greenestamps)
A set of five 2-digit whole numbers has a mean of 16, a mode of 13, and a median greater... (answered by LinnW)
11 is both the median and the mode of a set of five positive integers.
What is the... (answered by jim_thompson5910,Edwin McCravy)
Lexi has a set of five number cards. The mean of the cards is 5, the mode is 8, the... (answered by greenestamps)
A set of 7 positive integers has a median 3 and
unique mode 4. If you add two 2's to... (answered by Edwin McCravy)
For the set of numbers 2, 2, 4, 5, and 12, which statement is true?
(A) Mean = Median (answered by alicealc)
a set of nine distinct positive integers has mean of 9 and median of 9. what is the... (answered by Edwin McCravy)
A list of 11 positive integers has a mean of 10, a median of 9, and a unique mode of 8.... (answered by greenestamps)
mean of a set of number given below is 6 with mode . find the median.
9, 7, (answered by stanbon)