The number of adult wild cats observed in national parks is recorded.

20, 16, 11, 14, 52, 21, 19, 14, 13, 17

The park with 52 is considered an outlier. How will the mean number of adult wild cats be affected if the outlier is removed from the data set? Explain your reasoning.

A. The mean will increase because the outlier pulls the mean downward.

B. The mean will be the same because the outlier does not affect the mean.

C. The data must be graphed to determine how the mean will be affected.

D. The mean will decrease because the outlier pulls the mean upward.

Question

24-01-2024
Mathematics

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The number of adult wild cats observed in national parks is recorded.

20, 16, 11, 14, 52, 21, 19, 14, 13, 17

The park with 52 is considered an outlier. How will the mean number of adult wild cats be affected if the outlier is removed from the data set? Explain your reasoning.

A. The mean will increase because the outlier pulls the mean downward.

B. The mean will be the same because the outlier does not affect the mean.

C. The data must be graphed to determine how the mean will be affected.

D. The mean will decrease because the outlier pulls the mean upward.

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stevenstanardjr stevenstanardjr · Answer 1 · 2024-01-24T02:04:10+01:00

Answer:

If the outlier with 52 adult wild cats is removed, the mean of the remaining data set will decrease. This is because the outlier is a much higher value than the rest of the data set, and contributes more to the sum of the values used to calculate the mean. By removing the outlier, the sum of the values used to calculate the mean will decrease, leading to a lower mean. Therefore, the correct answer is D) The mean will decrease because the outlier pulls the mean upward.

Step-by-step explanation:

toriduncan807 toriduncan807 · Answer 2 · 2024-01-24T02:04:34+01:00

Final answer:

The mean number of adult wild cats will increase because the outlier pulls the mean downward.

Explanation:

The mean will be affected by the outlier.

An outlier is a value that is significantly different from the other values in a data set. In this case, the park with 48 wild cats is considered an outlier.

When calculating the mean, the values are added together and then divided by the number of values. Since the outlier of 48 is much larger than the other values, it will pull the mean upward. Therefore, the correct answer is: The mean will increase because the outlier pulls the mean downward.