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The dot plot shows the number of movies 15 people watched in a month: Dot plot labeled Number of Movies Seen shows 2 dots over 0, 2 dots over 7, 3 dot over 8, 3 dots over 9, and 5 dots over 10. Is the median or the mean a better center for this data and why? (1 point) Mean; because the data is normally distributed and has an outlier Mean; because the data clusters on the right and is not symmetric Median; because the data is normally distributed and has an outlier Median; because the data clusters on the right and is not symmetric

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The median is a better measure of center for the described data set because the data is right-skewed and not symmetric, meaning the median is less affected by the skew than the mean.

Choosing the Better Measure of Center

The dot plot shows the number of movies 15 people watched in a month. Given the data, we need to decide whether the mean or the median is a better measure of the center for this data. The dot plot includes the following number of movies watched: 2 people watched 0 movies, 2 watched 7 movies, 3 watched 8 movies, 3 watched 9 movies, and 5 watched 10 movies.

The mean is the arithmetic average of the data, while the median is the middle value when the data are arranged in order. For data that is skewed or has outliers, the median is often a better measure of center because it is not as affected by extreme values as the mean is.

In this case, the data clusters on the right and does not seem symmetric, indicating that it is right-skewed. Therefore, the median is likely a better representation of the center because it does not get pulled by the skew as the mean does. So, the correct answer is "Median; because the data clusters on the right and is not symmetric."

User Ed Webb
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2 votes

Answer:Median; because the data is not symmetric and there are outliers.

Step-by-step explanation:We know that a median is a central tendency of a data and it best represents the given data set.

From the given information we see that the data is skewed to the right since most of the data points takes the higher value and the data is not symmetric as it is skewed.

Hence, last option is the correct answer.

User Jveazey
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8.2k points

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