- 1 Marks
Question
The difference between the median and the range of the set of numbers: 18,
25, 48, 26, 36, 55, 42, 12, 38, 27, 64, 58, 20, 58, 30, 40, is
A. -19
B. -17
C. -15
D. 6
E. 25
Answer
Answer:
The correct answer is C. -15
Workings:
- First, arrange the numbers in ascending order: 12, 18, 20, 25, 26, 27, 30, 36, 38, 40, 42, 48, 55, 58, 58, 64
- To find the median: There are 16 numbers, so we take the average of the 8th and 9th numbers Median = (36 + 38) / 2 = 37
- To find the range: Range = Highest value – Lowest value Range = 64 – 12 = 52
- Now, calculate the difference: Difference = Median – Range = 37 – 52 = -15
Therefore, the difference between the median and the range is -15.
- Tags: Median, Range, Statistical Calculations
- Level: Level 1
- Topic: Statistics
- Series: MAY 2016
- Uploader: Kwame Aikins