https://file.aiquickdraw.com/mathbot/file/1726500495741p2r7jbbz.jpg

The question is asking about which statement must be true based on the box plots that summarize the masses (in kilograms) of two groups of gazelles.

To analyze the box plots:

- **Group 1**: The box plot's median (middle line in the box) appears to be around 26 kg. The overall range (from the whiskers) goes from approximately 21 to 31 kg.
- **Group 2**: The median is around 25 kg, with a range from about 22 to 28 kg.

### Mean vs Median:
The box plot provides information about the median, but not directly about the mean. However, based on the distribution:
- **Group 1** has a wider spread (more variability) than **Group 2**, and the higher values (especially in the upper whisker) are pulling the distribution higher, suggesting that the mean could be larger than the median.
- **Group 2** has a tighter range and more symmetric distribution, so its mean and median should be close, but it likely has a slightly lower mean compared to **Group 1**.

### Answer Choices:
- **A**: "The mean mass of group 1 is greater than the mean mass of group 2." This could be true based on the spread, but it doesn't *have* to be true.
- **B**: "The mean mass of group 1 is less than the mean mass of group 2." This is likely incorrect because **Group 1** has higher values in the upper whisker that could pull the mean upward.
- **C**: "The median mass of group 1 is greater than the median mass of group 2." This is true based on the box plots: the median for **Group 1** (around 26) is greater than that of **Group 2** (around 25).
- **D**: "The median mass of group 1 is less than the median mass of group 2." This is incorrect based on the box plots.

### Correct Answer:
The correct statement is **C**: "The median mass of group 1 is greater than the median mass of group 2."

Do you want more details or have any questions? Here are some related questions:

1. How do box plots represent mean and median values?
2. What are the key features of a box plot, and what do they represent?
3. How do whiskers on a box plot relate to the spread of data?
4. What can we infer about the mean if the box plot is skewed?
5. What are common misconceptions when interpreting box plots?

**Tip**: The median is a better measure of central tendency when the data is skewed or contains outliers.

The box plots summarize the masses, in kilograms, of two groups of gazelles. Based on the box plots, which of the following statements must be true?

Analyze the box plots that represent the masses of two groups of gazelles. Learn how to compare the mean and median values based on the data, focusing on key concepts in statistics. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation