I need help with determining the outliers and drawing a boxplot of the following data: 270
210
250
220
230
310
280
250
260
270
260
330
300
240
290
250
270
310
280
300
280
350
280
300
260
250
310
270
360
280
260
230
270
280
290
240
280
290
310
170
190
180
190
170
190
190
110
130
110
220

### Descriptive Statistics:

- **First Quartile (Q1):** 222.5
- **Median (Q2):** 265.0
- **Third Quartile (Q3):** 287.5
- **Interquartile Range (IQR):** 65.0

### Outlier Calculation:

- **Lower Bound for Outliers:** \( Q1 - 1.5 \times \text{IQR} = 125.0 \)
- **Upper Bound for Outliers:** \( Q3 + 1.5 \times \text{IQR} = 385.0 \)
- **Outliers:** 110, 110

### Observations:

- The outliers in the given data set are **110** (occurs twice).

### Boxplot:

The boxplot above visually shows the spread of the data, quartiles, and outliers.

Would you like more details or have any questions?

### Further Questions:
1. How is the Interquartile Range (IQR) useful in identifying outliers?
2. What are some implications of having outliers in a dataset?
3. How does the presence of outliers affect the mean and median of the dataset?
4. What methods can be used to handle outliers in data analysis?
5. Can you explain the difference between a mild and an extreme outlier?

**Tip:** Always check the context of your data when handling outliers, as they can sometimes represent important variations rather than errors.

I need help with determining the outliers and drawing a boxplot of the following data

Learn how to detect outliers and visualize data using a boxplot for the given dataset. This problem involves calculating quartiles, the interquartile range (IQR), and identifying outliers. The data points provided range from 110 to 360, with outliers detected at 110. Ideal for high school students in Grades 10-12.

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