Digital PSAT Math Practice Question 337: Answer and Explanation
Question: 337
Look at how many of the particular item Stores A and B sold at the presale price. What is the arithmetic mean of this set of values to the nearest tenth?
- A. 8.1
- B. 9.7
- C. 10.5
- D. 12.8
Correct Answer: D
Explanation:
(D) The arithmetic mean is the average. Solve this problem using a weighted average. In other words, calculate the average by factoring in the relative amounts of the item sold by each store.
| Store | Price Before Sale | Quantity Sold Before Sale | Sale Price | Quantity Sold After Sale |
| Store A | $12.50 | 350 | $11.00 | 400 |
| Store B | $13.25 | 260 | $10.00 | 520 |
| Store C | $11.75 | 550 | $9.50 | 625 |
| Store D | $14.00 | 220 | $10.25 | 460 |
Store A sold 350 items for $12.50 each, and Store B sold 260 items for $13.25 each. The total number of items sold is . You can compute the average as follows:
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