The following table shows the percentage (%) distribution of number of members…
2023
The following table shows the percentage (%) distribution of number of members (both male and female) and number of male members in five health clubs A-E in the year 2022. Total number of members (both male and female members) in health club C is 1764 and number of male members in health club E is 576. Based on the data in the table, answer the questions that follow
Health Club-Wise Distribution of Members
Health Club | Members (Male & Female) | Male |
|---|---|---|
A | 21% | 21% |
B | 33% | 32% |
C | 14% | 19% |
D | 20% | 20% |
E | 12% | 8% |
What is the median of the number of male members for all the five health clubs A-E?
Answer: D. 1440 — ConceptFor an odd number of observations, the median is the middle value after all observations are arranged in ascending order. With five observations, the…
- A.
576
- B.
1368
- C.
1512
- D.
1440
Show answer & explanation
Correct answer: D
Concept
For an odd number of observations, the median is the middle value after all observations are arranged in ascending order. With five observations, the median is the third value. A percentage share p% of a total T equals (p/100) × T.
Application
Club E represents 8% of all male members and has 576 male members, so the total number of male members is 576 ÷ 0.08 = 7200.
Apply each club’s male percentage to 7200.
Club
Male share
Male members
A
21%
1512
B
32%
2304
C
19%
1368
D
20%
1440
E
8%
576
Arrange the five counts in ascending order: 576, 1368, 1440, 1512, 2304. The third value is 1440.
Cross-check
The male percentages sum to 100%, and the computed counts sum to 7200. Thus the distribution is internally consistent, and the median is 1440.