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Liam works at a zoo. He was looking at some data showing the masses of their 5 African elephants. The mean mass of the elephants was 3800 Kg and the median mass was 3600 Kg. The smallest elephant, named Lola, weighed 2700 Kg. Lola then got very sick and lost weight until her mass reached 1800 Kg. How will Lola's mass decreasing affect the mean and median?

ABoth the mean and median will decrease

B.The median will decrease, and the mean will stay the same.

C.The mean will decrease, and the median will stay the same.

D.The mean will decrease, and the median will increase.

Verified Answer :

samuelhardersharder

We have to remember that the mean will increase or decrease because you add all number to get it. The median is the middle number.
3600kg is the median, it will not change. So the mean will decrease due to the loss of weight.

Using the concepts of mean and median, it is found that the correct option is:

C.The mean will decrease, and the median will stay the same.

What are the mean and the median of a data-set?

  • The mean of a data-set is the sum of all observations divided by the number of observations. It is affected by all values in the data-set.
  • The median of a data-set is the value that separates the bottom 50% from the upper 50% of values. It is not affected by outliers.

In this problem, there are 5 elephants, hence the median is the weight of the (5 + 1)/2 = 3rd elephants, hence it stays the same.

For the mean, as the weight of the smallest elephant decreases, the mean also decreases, hence option C is correct.

You can learn more about mean and median at https://brainly.com/question/26296704

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