Choose the correct description of the shape of the distribution.

A.The distribution is skewed to the right.

The distribution is skewed to the right.The distribution is skewed to the right.

B.The distribution is roughly symmetrical.

The distribution is roughly symmetrical.The distribution is roughly symmetrical.

C.The distribution is skewed to the left.

The distribution is skewed to the left.The distribution is skewed to the left.

D.

The shape of the distribution cannot be determined from the boxplot.

In this case, choosing the correct description of the shape of the distribution depends on analyzing the provided data or a boxplot, if it was shown. Let’s break down the options:

- **Skewed to the right** (A): This means the tail on the right side (larger values) is longer than the left. Most of the data is concentrated on the left.
- **Roughly symmetrical** (B): In a roughly symmetrical distribution, both sides (left and right) are mirrored in shape.
- **Skewed to the left** (C): The tail on the left side (smaller values) is longer than the right. Most of the data is concentrated on the right.
- **Shape cannot be determined from the boxplot** (D): This option suggests that the boxplot does not provide enough information about the shape.

To choose the correct description, **if you were provided a boxplot**, observe:
- **Right skewed**: The right whisker is longer.
- **Left skewed**: The left whisker is longer.
- **Symmetrical**: Whiskers are roughly the same length, and the box is centered.

Without seeing the boxplot or data, the answer is unclear. If you have a boxplot, I can help further with the specific shape.

Would you like more details on interpreting these shapes?

### Relative questions:
1. What does a positively skewed distribution signify about the data?
2. How can a boxplot give insights into the variability of data?
3. What features of a boxplot indicate symmetry in a dataset?
4. How can you determine if outliers affect the skewness of a distribution?
5. What does it mean when a distribution is heavily skewed to one side?

**Tip**: In a boxplot, the skewness of a distribution is revealed by the lengths of the whiskers and the position of the median within the box.

Choose the correct description of the shape of the distribution.

A. The distribution is skewed to the right.

B. The distribution is roughly symmetrical.

C. The distribution is skewed to the left.

D. The shape of the distribution cannot be determined from the boxplot.

Explore how to identify the shape of a data distribution using boxplots. Learn the difference between right-skewed, left-skewed, and symmetrical distributions. This guide provides insights into interpreting skewness based on boxplot whisker lengths and the median’s position. Suitable for students in Grades 9-12.

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