The average number of male viewers of SONY TV across all six cities is…
2024
The average number of male viewers of SONY TV across all six cities is approximately what percentage of the total number of JIO TV viewers in city D?
Answer: C. 50 — ConceptIf a group has a male-to-female ratio m:f and total size T, then the number of males is T × m/(m + f). The mean equals the sum of the observations…
- A.
30
- B.
40
- C.
50
- D.
60
Attempted by 3 students.
Show answer & explanation
Correct answer: C
Concept
If a group has a male-to-female ratio m:f and total size T, then the number of males is T × m/(m + f). The mean equals the sum of the observations divided by their count. To express a quantity A as a percentage of a reference R, use (A/R) × 100.
Application
For city A, male SONY viewers = 2086 × 3/7 = 894.
For city B, male SONY viewers = 2646 × 1/3 = 882.
For city C, male SONY viewers = 2808 × 7/12 = 1638.
For city D, male SONY viewers = 2390 × 3/5 = 1434.
For city E, male SONY viewers = 2856 × 8/17 = 1344.
For city F, male SONY viewers = 2508 × 9/19 = 1188.
Total male SONY viewers = 894 + 882 + 1638 + 1434 + 1344 + 1188 = 7380; therefore, the six-city average = 7380/6 = 1230.
The total number of JIO viewers in city D is 2472, so the required percentage = (1230/2472) × 100 ≈ 49.76%.
Cross-check
Half of 2472 is 1236, which is only 6 more than 1230. Thus 1230 is approximately 50% of 2472.
Result: 50%.