16. 

The table below shows the average yearly rainfall of five U.S. states.

The table shows 9.5 inches of rainfall in Nevada, 63.7 inches in Hawaii, 60.1 inches in Louisiana, 59.0 inches in Mississippi, and 54.5 inches in Florida.

Which statement best explains the effect of the outlier of the data on the mean?

In this data set, the outlier is **Nevada** with a significantly lower average yearly rainfall of **9.5 inches**, while the other states have much higher rainfall values (ranging from **54.5 inches** to **63.7 inches**). An outlier like this will reduce the overall mean because it is much smaller than the other values. 

Without the outlier, the mean of the higher values would be considerably larger. However, including Nevada’s much lower rainfall decreases the average.

**Answer:** The outlier (Nevada's rainfall of 9.5 inches) **lowers** the overall mean of the dataset.

Would you like to calculate the exact mean with and without the outlier to see the difference? If so, I can guide you through the calculations.

### 5 Related Questions:
1. What is the exact mean of this dataset with the outlier included?
2. How does the mean change when the outlier is removed?
3. What is the median rainfall of the five states?
4. How do outliers typically affect the median compared to the mean?
5. Can an outlier ever increase the mean of a dataset?

**Tip:** Outliers often have a significant impact on measures like the mean but typically have less effect on the median.

The table below shows the average yearly rainfall of five U.S. states. The table shows 9.5 inches of rainfall in Nevada, 63.7 inches in Hawaii, 60.1 inches in Louisiana, 59.0 inches in Mississippi, and 54.5 inches in Florida. Which statement best explains the effect of the outlier of the data on the mean?

Explore how the outlier (Nevada's 9.5 inches of rainfall) impacts the mean average yearly rainfall of five U.S. states. Learn how outliers reduce the overall mean and why the central tendency is important in data analysis. Suitable for students in Grades 6-8.

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