Answer:
The correct option is D.
Step-by-step explanation:
It is given that a set of 15 different integers has median of 25 and a range of 25.
Median = 25
Median is the middle term of the data. Number of observations is 15, which is an odd number so median is
[tex](\frac{n+1}{2})th=(\frac{15+1}{2})th=8th[/tex]
8th term is 25. It means 7 terms are less than 25. Assume that those 7 numbers are 18, 19, 20, 21, 22, 23, 24. Largest possible minimum value of the data is 18.
Range = Maximum - Minimum
25 = Maximum - 18
Add 18 on both sides.
25+18 = Maximum
43 = Maximum
The greatest possible integer in this set 43.
Therefore, the correct option is D.
