Given the box plot, will the mean or the median provide a better description of the center? (1 point)

 

The mean, because the data distribution is symmetrical

The mean, because the data distribution is pulled to the left

The median, because the data distribution is pulled to the left

The median, because the data distribution is pulled to the right

The correct answer is:

**The median, because the data distribution is pulled to the left.**

### Explanation:
- When a data distribution is pulled to the left (negatively skewed), the mean tends to be lower than the median because the smaller values drag it down. In such cases, the **median** provides a better description of the center since it is not influenced by extreme values as much as the mean is.

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### Related Questions:
1. How does skewness affect the mean and median?
2. What is the difference between a positively skewed and negatively skewed distribution?
3. Can the mean ever be a better measure of central tendency than the median in skewed data?
4. How does the interquartile range (IQR) reflect in a box plot for skewed data?
5. How does the box plot visually indicate skewness?

### Tip:
If a dataset is highly skewed, always check both the mean and median before deciding which better represents the central tendency.

Given the box plot, will the mean or the median provide a better description of the center? (1 point)

The mean, because the data distribution is symmetrical
The mean, because the data distribution is pulled to the left
The median, because the data distribution is pulled to the left
The median, because the data distribution is pulled to the right

Explore how to interpret a box plot and decide whether the mean or the median provides a better description of the center, especially when the data distribution is skewed to the left. This problem addresses key statistical concepts such as measures of central tendency and skewness, suitable for students in Grades 9-12.

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