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Choose the correct description of the median below. A. The median is the sum of all the values divided by the number of values. It is not affected by outliers. B. The median is the middle value in a data set. It is not affected by outliers. C. The median is the middle value in a data set. It can be strongly affected by outliers. D. The median is the most common value in a data set. It can be strongly affected by outliers. E. The median is the most common value in a data set. It is not affected by outliers. F. The median is the sum of all the values divided by the number of values. It can be strongly affected by outliers.

Ask by Bond Fernandez. in the United States
Mar 19,2025

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Answer

The median is the middle value in a data set and is not affected by outliers.

Solution

1. The median is defined as the middle value when the data is sorted in order. 2. Unlike the mean, which is calculated using the formula \( \text{mean} = \frac{\text{sum of all values}}{\text{number of values}} \), the median is not computed by adding the values. 3. The median is not affected by outliers because it only depends on the middle value(s) regardless of extreme values. 4. Based on these properties, the description that accurately matches the median is: \( \text{The median is the middle value in a data set. It is not affected by outliers.} \) Thus, the correct answer is **B**.

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The correct description of the median is B. The median is the middle value in a data set. It is not affected by outliers. Now, let's dive into why that matters! The median is a superstar when it comes to summarizing a set of data! Imagine a noisy group of friends; sometimes, one friend’s extravagant pizza order can skew the average (mean) upwards, but the median? It simply finds the middle piece of pizza and sticks to it, regardless of the drama on the sidelines! This makes it a perfect measure for getting a true feel of the data's center, especially in skewed distributions. If you're ever analyzing data and spot some crazy outliers—like someone bringing a pet iguana to a dinner party—remember to use the median! Avoid common mistakes by ensuring the data is sorted first. If you skip this, you might just as well be counting jellybeans in the dark! Always double-check that you’re identifying that middle value correctly, as it can make all the difference in conveying the right information!

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