https://file.aiquickdraw.com/mathbot/file/17274452441053w6a4mu6.jpg

The histogram you provided shows the height distribution of students. Based on the shape of the distribution, we can observe that it is **left-skewed** (there is a longer tail on the left side of the distribution). In such cases, the **mean** is typically **less** than the **median** because the lower values pull the mean towards the left, while the median, being the middle value, remains unaffected by extreme values.

Therefore, the correct answer is:

- **C: The median is greater.**

Do you want more details or have any further questions?

Here are five related questions to expand your understanding:

1. How is the mean affected in a right-skewed distribution?
2. What would the mean and median look like in a perfectly symmetric distribution?
3. Can you explain why the mean is more sensitive to extreme values than the median?
4. How can outliers affect the mean in different types of distributions?
5. How could you estimate the mean and median from a grouped frequency table?

**Tip:** In a skewed distribution, always check the direction of the skew to determine the relationship between the mean and median.

Use the shape of the distribution to compare the mean and median. Are the mean and median equal? If not, which is greater?

Learn how to compare the mean and median in a skewed distribution using a histogram. This problem involves key concepts in statistics, specifically analyzing the shape of a distribution and understanding how skewness affects the mean and median. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation