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AMO 2027 Grades 6-7 SET 22 - Self-study Question 2

AMO · AMO 2027 Grades 6-7 SET 22 - Self-study

Question 2

The chart below provides information on how bonuses of certain amounts were distributed among the employees of a business:

| Bonus paid to an employee (dollars) | Number of employees |
|---|---|
| 50 | 7 |
| 100 | 37 |
| 150 | 4 |
| 200 | 2 |

a) What was the average bonus per employee?

b) If the median bonus is m dollars, the average bonus a dollars, and the mode bonus is p dollars, which of the must be true?

A. $m < a < p$.

B. $m < a = p$.

C. $m = p < a$.

D. $m < p < a$.

**Editorial note for this self-study exercise:** Answer both parts in one entry: mean in dollars;option letter, with no spaces, for example 90;A. Enter an integer for the mean and one letter A–D for part (b).

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