Study the following table. It shows the number of copies of newspapers W, X,…
2023
Study the following table. It shows the number of copies of newspapers W, X, Y, and Z distributed in each of four cities in one day. The number printed for each newspaper is shown in parentheses.
City | Newspaper W (5,000) | Newspaper X (10,000) | Newspaper Y (10,000) | Newspaper Z (5,000) |
|---|---|---|---|---|
City 1 | 1,500 | 3,000 | 3,500 | 1,000 |
City 2 | 1,000 | 3,500 | 3,000 | 1,000 |
City 3 | 500 | 1,500 | 1,500 | 500 |
City 4 | 500 | 1,000 | 500 | 1,500 |
What is the average number of newspapers distributed per city?
Answer: B. 6250 — ConceptThe arithmetic mean equals the sum of all observations divided by the number of observations. Here, first total the newspapers distributed in each…
- A.
6200
- B.
6250
- C.
1200
- D.
6230
Show answer & explanation
Correct answer: B
Concept
The arithmetic mean equals the sum of all observations divided by the number of observations. Here, first total the newspapers distributed in each city; then divide the combined four-city total by 4.
Application
City | Total distributed |
|---|---|
City 1 | 9,000 |
City 2 | 8,500 |
City 3 | 4,000 |
City 4 | 3,500 |
City 1 total: 1,500 + 3,000 + 3,500 + 1,000 = 9,000.
City 2 total: 1,000 + 3,500 + 3,000 + 1,000 = 8,500.
City 3 total: 500 + 1,500 + 1,500 + 500 = 4,000.
City 4 total: 500 + 1,000 + 500 + 1,500 = 3,500.
Combined total: 9,000 + 8,500 + 4,000 + 3,500 = 25,000.
Average per city: 25,000 ÷ 4 = 6,250.
Cross-check
Relative to 6,250, the city totals differ by +2,750, +2,250, −2,250, and −2,750. These deviations sum to zero, confirming the mean.
Therefore, the average number of newspapers distributed per city is 6,250.