https://file.aiquickdraw.com/mathbot/file/1726431561070uaq931dn.jpg

The image shows a back-to-back stem plot representing the guesses made by male and female students about the number of candies in a jar. The goal is to determine the skewness of the distributions for each gender.

To break this down:

- **Male students' guesses** are on the left side of the stem plot, while **female students' guesses** are on the right side.
- The key provided is "6|4 = 64", indicating that the numbers to the right of the stems (middle column) should be read as tens.

### Analyzing skewness:

1. **Male students:**
   - Most of the guesses are clustered on the right side of the stem (lower numbers), indicating that there are more guesses on the higher end. This suggests a **right-skewed** (positively skewed) distribution.
   
2. **Female students:**
   - For females, the guesses are more spread out, with several guesses on the left side of the plot (higher numbers). This suggests a **left-skewed** (negatively skewed) distribution, as most of the data is concentrated toward the lower end.

### Conclusion:
- **Correct answer:** The distribution of guesses for male students is **skewed to the right** (right-skewed), and the distribution of guesses for female students is **skewed to the left** (left-skewed).

This aligns with **option B**:  
> "The distribution of guesses for male students is skewed to the right, and the distribution of guesses for female students is skewed to the left."

Would you like more details or have any questions?

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Here are 5 related questions to deepen your understanding:

1. What are the key differences between right-skewed and left-skewed distributions?
2. How does skewness affect the mean and median of a dataset?
3. How can we identify outliers using stem plots or box plots?
4. What are the common causes of skewed distributions in real-world data?
5. How can stem plots be used to compare distributions effectively?

**Tip:** In a skewed distribution, the mean is pulled toward the tail (right or left), whereas the median remains more central.

A school is having a contest in which students guess the number of candies in a jar. The student whose guess is closest to the correct number of candies wins a prize. The number of candies guessed by male and female students is shown in the back-to-back stem plot below.

This problem involves analyzing the skewness of a back-to-back stem-and-leaf plot. Male and female students guessed the number of candies in a jar. The solution breaks down the skewness of each distribution and determines the correct option. Suitable for Grades 9-12.

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