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A cat gave birth to 4 kittens. Three of the kittens had different masses between 147 kg and 159 kg, and one kitten had a mass of 57 kg. How will the removal of the kitten affect the mean and median?

A. Both the mean and median will increase, but the median will increase by more than the mean.
B. Both the mean and median will increase, but the mean will increase by more than the median.
C. The mean will increase, and the median will decrease.

Answer :

Final answer:

The removal of the kitten will increase both the mean and median, but the mean will increase by more than the median.

Explanation:

In this scenario, the mean and median of the kitten masses will be affected by the removal of one kitten with a mass of 57kg. Let's analyze the options:

  • a) The mean and median will increase, but the median will increase by more than the mean. This option is incorrect because the median would actually decrease due to the removal of the lowest value.
  • b) The mean and median will increase, but the mean will increase by more than the median. This option is correct. When a smaller value is removed in a set of numbers, the mean tends to increase by a larger amount compared to the median.
  • c) The mean will increase, and the median will decrease. This option is incorrect because the median would not decrease in this scenario.

Therefore, the correct answer is option b) both the mean and median will increase, but the mean will increase by more than the median.

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