Four gardeners record the weight, in pounds, of 5 pumpkins they grew. Which statement about the weights of the pumpkins is true? Gardener Pumpkin Weights (lbs) Kylie 20, 21, 33, 40, 29 Mark 14, 19, 45, 20, 22 Todd 15, 15, 15, 30, 22 Greg 33, 34, 36, 39, 33 The maximum weight recorded by any of the gardeners is 40 pounds. The mean weight of Mark’s pumpkins is the greatest. The range of weights for Greg’s pumpkins is the least. The mode of the weights of Greg and Kylie’s pumpkins is the same.
The Correct Answer and Explanation is:
The correct answer is:
The range of weights for Greg’s pumpkins is the least.
Explanation:
To determine which statement is true, we need to evaluate the following for each gardener:
1. Maximum Weight Recorded
Look at the highest pumpkin weight for each gardener:
- Kylie: 40
- Mark: 45
- Todd: 30
- Greg: 39
The maximum is 45 pounds, not 40. So this statement is false.
2. Mean Weight of Mark’s Pumpkins
Calculate the mean (average) for each gardener:
- Kylie: (20 + 21 + 33 + 40 + 29) / 5 = 28.6
- Mark: (14 + 19 + 45 + 20 + 22) / 5 = 24
- Todd: (15 + 15 + 15 + 30 + 22) / 5 = 19.4
- Greg: (33 + 34 + 36 + 39 + 33) / 5 = 35
Greg’s mean is the greatest. So this statement is false.
3. Range of Weights for Greg’s Pumpkins
Calculate the range (max – min):
- Kylie: 40 – 20 = 20
- Mark: 45 – 14 = 31
- Todd: 30 – 15 = 15
- Greg: 39 – 33 = 6
Greg’s range is the smallest. So this statement is true.
4. Mode of Greg and Kylie’s Pumpkins
- Kylie: 20, 21, 33, 40, 29 → no repeating numbers → no mode
- Greg: 33, 34, 36, 39, 33 → mode = 33
One has a mode, the other doesn’t. So this statement is false.
Conclusion:
✅ The only true statement is:
“The range of weights for Greg’s pumpkins is the least.”
