Five whole numbers have a mean of 6, a median of 5, a mode of 4 and a range of 6. What is the largest of the five numbers?
Answer and explanation
Correct answer: C. 10
- Step 1: The mode is 4 and the median is 5, so the ordered numbers begin 4, 4, 5. Step 2. The total is 5 × 6 = 30, so the last two add up to 30 - 13 = 17. Step 3. The range is 6, so the largest is 4 + 6 = 10 and the fourth number is 7. Answer: 10. Why not the others: 7: This is the fourth number, the second largest. 17: This is the total of the two largest numbers. 6: This is the range, not the largest number.
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