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Problem-Solving and Data Analysis / One-variable data: Distributions and measures of center and spread Difficulty: Easy

Nest	Number of eggs
A	$149$ $149$
B	$144$ $144$
C	$148$ $148$
D	$136$ $136$
E	$139$ $139$

Five Eretmochelys imbricata, a type of sea turtle, each have a nest. The table shows an original data set of the number of eggs that each turtle laid in its nest.

A sixth nest with $121$ eggs is added to create a new data set. Which of the following correctly compares the means of the two data sets?

The mean of the original data set is greater than the mean of the new data set.

The mean of the original data set is less than the mean of the new data set.

The means of both data sets are equal.

There is not enough information to compare the means.

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Explanation

Choice A is correct. It's given that the table shows an original data set of $5$ values. It's also given that a sixth value is added to create a new data set. The new data set consists of the $5$ values in the original data set and one additional value, $121$ . Since the additional value, $121$ , is less than any value in the original data set, the mean of the original data set is greater than the mean of the new data set.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.