Question

The heights of 14 plants, in inches, are listed.

12, 14, 15, 15, 16, 16, 16, 17, 18, 18 ,19, 20, 22, 25

If another plant with a height of 13 inches is added to the data, how would the mean be impacted?

A. The mean would stay the same value of about 17.1 inches.
B. The mean would decrease in value to about 17.1 inches.
C. The mean would stay the same value of about 17.4 inches.
D. The mean would increase in value to about 17.4 inches.

Answer 1

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The correct answer is B. The mean would decrease in value to about 17.1 inches.

Explanation:

To find out how adding a new plant with a height of 13 inches would impact the mean height of the 15 plants, we can follow these steps:

To find out how adding a new plant with a height of 13 inches would impact the mean height of the 15 plants, we can follow these steps:Find the current mean height of the 14 plants:

mean = (12 + 14 + 15 + 15 + 16 + 16 + 16 + 17 + 18 + 18 + 19 + 20 + 22 + 25) / 14

= 221 / 14

≈ 15.8 inches

Add the new plant with a height of 13 inches to the list.

Add the new plant with a height of 13 inches to the list.Recalculate the mean height of the 15 plants:

mean = (12 + 13 + 14 + 15 + 15 + 16 + 16 + 16 + 17 + 18 + 18 + 19 + 20 + 22 + 25) / 15

= 236 / 15

≈ 15.7 inches

The mean height of the 15 plants after adding the new plant would be approximately 15.7 inches. This means that the mean would decrease in value from about 15.8 inches to about 15.7 inches. Therefore, the correct answer is B. The mean would decrease in value to about 17.1 inches.