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four gardeners record the weight, in pounds, of 5 pumpkins they grew. w…

Question

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 mean weight of marks pumpkins is the greatest. the mode of the weights of greg and kylies pumpkins is the same. the range of weights for gregs pumpkins is the least. the maximum weight recorded by any of the gardeners is 40 pounds.

Explanation:

Step1: Calculate Kylie's range

Range = Max - Min = 40 - 20 = 20

Step2: Calculate Mark's range

Range = 45 - 14 = 31

Step3: Calculate Todd's range

Range = 30 - 15 = 15

Step4: Calculate Greg's range

Range = 39 - 33 = 6

Step5: Analyze each option

  • Option A: Calculate means for all gardeners to check. But just by looking at the data, we can see Mark's values don't have the highest mean.
  • Option B: Kylie has no mode (no repeated values), Greg's mode is 33. So they are not the same.
  • Option C: Greg's range of 6 is the least among all gardeners as calculated above.
  • Option D: Mark has a pumpkin of 45 pounds, so 40 pounds is not the maximum.

Answer:

C. The range of weights for Greg's pumpkins is the least.