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Which measures of central tendency should be used for the data set in the above histogram?

Group of answer choices

Mode

Mean

Median

The histogram provided is relatively symmetric and bell-shaped, which suggests that the data follows a normal distribution. In such cases, **mean** and **median** are typically appropriate measures of central tendency because they tend to be close or equal when the data is normally distributed. However, **mode** might also be useful if you're interested in identifying the most frequent value, but for a normally distributed or symmetric dataset, mode might not add as much value as the mean or median.

Therefore, the **mean** and **median** are the most appropriate measures of central tendency for this dataset.

Would you like more details, or have any questions?

Here are some related questions:
1. How do you calculate the mean from a histogram?
2. What is the significance of symmetry in choosing central tendency measures?
3. How can you estimate the median from a histogram?
4. Why is the mode less useful for a symmetric distribution?
5. What are the effects of skewness on the mean, median, and mode?

**Tip:** For symmetric distributions, the mean and median are almost the same, but if the distribution is skewed, the median is often a better measure of central tendency than the mean.

Which measures of central tendency should be used for the data set in the above histogram?

Learn how to choose the most appropriate measures of central tendency for a symmetric histogram. This example covers the use of mean, median, and mode in analyzing normal distributions, and highlights why mean and median are typically preferred in such cases.

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