What is the value of v?
For the following two (02) items: The following data represent the distance covered (in metres) by two groups of athletic children. It is known that the median distance in the first group is 20.8 metres while the mean distance in the second group is 17.3 metres. Some frequencies in both the groups are missing: Distance Class | First Group | Second Group 0 – 5 | u | 3u 5 – 10 | v | 2v 10 – 15 | 11 | 40 15 – 20 | 52 | 50 20 – 25 | 75 | 30 25 – 30 | 22 | 28
- A. 5
- B. 6
- C. 7 ✓
- D. 8
Correct Answer: C. 7
Explanation
Using the median formula for the first group and the mean formula for the second group provides two linear equations in terms of u and v. Solving these simultaneous equations yields u = 3 and v = 7.
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