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**4. What is the 90th percentile in this dataset? Interpret this value.**

The 90th percentile is the value below which 90% of the data falls. It means that 90% of the data values in the dataset are less than or equal to this number. You would need the actual dataset to find the exact value that corresponds to the 90th percentile.

**5. What percentile is the value $125 in this dataset? What does it mean?**

To determine the percentile for $125, you would compare $125 to the rest of the dataset. The percentile represents the percentage of data points that are less than or equal to $125. For instance, if $125 is the 75th percentile, it means that 75% of the data is below or equal to $125. You need the data to calculate this.

**6. Construct a boxplot using the 5-number summary. In what part of the boxplot is there more variance?**

A boxplot is constructed using the following five values from the dataset:
1. Minimum value
2. First quartile (Q1 or 25th percentile)
3. Median (Q2 or 50th percentile)
4. Third quartile (Q3 or 75th percentile)
5. Maximum value

Once the boxplot is drawn, you can compare the spread of the data in different sections to see where the variance is larger. Variance is typically higher where the data is more spread out (i.e., a longer whisker or wider box in the boxplot).

Do you have the dataset so I can help calculate the percentiles or create the boxplot?

Would you like more details on any of the above answers? 

Here are 5 related questions:
1. How do you calculate percentiles from a given dataset?
2. What is the difference between variance and standard deviation?
3. How do outliers affect the construction of a boxplot?
4. Can the median ever be equal to the mean in a dataset, and under what conditions?
5. How would you determine the interquartile range (IQR) from a boxplot?

**Tip:** When interpreting percentiles, always consider how many data points fall below the given percentile to understand the relative position within the dataset.

What is the 90th percentile in this dataset? What percentile is the value $125? Construct a boxplot using the 5-number summary. In what part of the boxplot is there more variance?

Explore how to calculate the 90th percentile and determine the percentile rank for the value $125 within a dataset. Learn how to construct a boxplot using the 5-number summary and analyze which section of the plot exhibits more variance.

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