Aset of 15 different integers has a median of 25 and a range of 25. what is the greatest possible integer that could be in this set? a. 32
b. 37
c. 40
d. 43
e. 50

Option D.

Step-by-step explanation:

It is given that a set of 15 different integers has a median of 25 and a range of 25.

Total number of integers is 15 which is an odd number.

8th integers is median. It means 8th integers is 25.

7 different integers before 25 are 18, 19, 20, 21, 22, 23, 24.

It means the greatest possible minimum value is 18.

Range = Maximum - Minimum

25 = Maximum - 18

Add 18 on both sides.

25 +18 = Maximum

43 = Maximum

The greatest possible integer in the set is 43.

Therefore, the correct option is D.

D. 43

Step-by-step explanation:

We have been given that a set of 15 different integers has a median of 25 and a range of 25.

Since each data point is different, so we can represent our data points as:

Since there are 15 data points, this means that median will be 8th data point.

We have been given that median is 25, so .

Since each data point is different, so 7 data points less than 25 would be:

18, 19, 20, 21, 22, 23, 24.

We know that range is the difference between upper value and lower value.

Upon substituting our given values, we will get:

Therefore, the greatest possible integer in this set could be 43 and option D is the correct choice.

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step-by-step explanation: