2019 · Q5
Direction: Read the following information and answer the four items that follow: Let the distribution of the number of scooters of companies X and Y sold by 5 showrooms (A, B, C, D and E) in a certain year be denoted S1 and the distribution of the number of scooters of only company X sold by the five showrooms in the same year be denoted by S2.
| Showroom | A | B | C | D | E | Total scooters sold |
|---|---|---|---|---|---|---|
| S1 (both companies X and Y, in %) | 19 | 21 | 15 | 33 | 12 | 6400 |
| S2 (only company X, in %) | 24 | 18 | 20 | 30 | 8 | 3000 |
What is the average number of scooters of company Y sold by the showrooms A, C and E?
Elementary MathematicsStatistics
- A461⅓
- B431⅓
- C426⅓
- D416⅓
Explanation
Y sold = (both sold) - (X sold) per showroom. A: 19% of 6400 - 24% of 3000 = 1216 - 720 = 496. C: 15% of 6400 - 20% of 3000 = 960 - 600 = 360. E: 12% of 6400 - 8% of 3000 = 768 - 240 = 528. Average of A, C, E = (496+360+528)/3 = 1384/3 = 461 1/3.