A list of five integers has the following criteria: I. The median of

Question

A list of five integers has the following criteria:

I. The median of the list is 6
II. The mode of the list is 2
III. The mean of the list is 5

Which of the following must true?

A. The sum of the five integers is 30.
B. The sum of the five integers is 10.
C. The median of the three largest integers is 6.
D. The largest of the integers is 9.
E. The largest of the integers is 8.

gracie · Answer

let list=2,2,6,7,8
largest of integers must be 8
E

mohshu · Answer

the list should be 2,2,6,x,y.
given mean = 5.. so total = 25
median = 6
x+y = 15..
x and y cud be 6,9 or 7,8
since given mode is 2,, then the possible set is 2,2,6,7,8
ans E

GMATYoda · Answer

For 6 to me the median, it has to be the 3rd element in the list and hence, the next integer needs to be bigger than 6. Which n least case is 7.

.
Answer:E

ScottTargetTestPrep · Answer

Solution:

Since the mean is 5 and there are 5 integers, the sum of the integers is 25. Therefore, we can see both A and B are false. Since the mode is 2 and the median is 6, we see that the five integers are 2, 2, 6, x, y where 6 < x < y. Since the sum of the integers is 25, the sum of x and y is 25 - (2 + 2 + 6) = 15. Therefore, x must be 7 and y must be 8 since 6 < x < y and x + y = 15. We see that the largest of the integers is 8.

Answer: E

Basshead · Answer

We have five integers. We are told the median of the list is 6:

_ _ 6 _ _

The mode of the list is 2. Since 6 is the median, this indicates that 2 appears twice:

2 2 6 _ _

The mean of the list is 5. This means the five numbers total up to 25:

2 2 6 7 8

The only way for the numbers to total 25 is to have one number as 7 and one number as 8. By going through the answer choices, only E fits the criteria.  Answer is E.

bumpbot · Answer

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A list of five integers has the following criteria: I. The median of

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A list of five integers has the following criteria: I. The median of

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