Question

Use the image to answer the question.



Which measure of center would be most appropriate to describe the data in the graph?

(1 point)
Responses

mean
mean

median
median

mode
mode

IQR
IQR
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Answer 1

To determine which measure of center is most appropriate for the data in the graph, we typically consider the distribution of the data:

- **Mean**: Best used for symmetrical distributions without outliers.
- **Median**: Best used for skewed distributions or when there are outliers, as it is less affected by extreme values.
- **Mode**: Indicates the most frequent value; useful for categorical data or to identify the most common value in a distribution.
- **IQR (Interquartile Range)**: While it is a measure of variability, it does not represent a measure of center.

If the graph shows a skewed distribution or has outliers, the **median** would be the most appropriate measure of center. If the graph is symmetrical without outliers, the **mean** would be appropriate.

Without the specific visual context of the graph, I would suggest choosing **median** if the data appears skewed or contains outliers, or **mean** if it appears symmetrical. If you can provide a description of the data distribution shown in the graph, I can give a more definitive answer.