Question

Question

Use the image to answer the question.

The median is the best measure of center for which data set?

(1 point)
Responses

data set A because the distribution is nearly summetric
data set A because the distribution is nearly summetric

data set B because the range is the largest
data set B because the range is the largest

data set B because the distribution is the flattest
data set B because the distribution is the flattest

data set C because the distribution is skewed
data set C because the distribution is skewed
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Answer 1

To determine which data set the median is the best measure of center for, we need to consider the characteristics of each data set described in the responses.

The median is best used as a measure of center when a data set is skewed or when there are outliers that could affect the mean.

From the provided responses:

1. Data set A because the distribution is nearly symmetric - When a distribution is symmetric, the mean and median are usually close together, and the mean can be a good measure of center.

2. Data set B because the range is the largest - The range does not directly influence whether the median is the best measure of center; a large range could occur in both skewed and symmetric distributions.

3. Data set B because the distribution is the flattest - A flatter distribution typically refers to a uniform distribution, which can be symmetric. Therefore, the median may not be the best measure of center here.

4. Data set C because the distribution is skewed - The median is particularly useful for skewed distributions as it is not affected by the extreme values in the data.

Considering these points, the best answer would be:

data set C because the distribution is skewed.