https://file.aiquickdraw.com/mathbot/file/1726780211312zvfrq9co.jpg

The image you provided displays the problem of drawing boxplots for two datasets: one for the Baltic Sea islands and another for the Aleutian Islands. The instruction emphasizes rounding the answers to the nearest ten.

Here's how you would generally solve the problem:

### **Steps to Create a Boxplot:**
1. **Find the Five-Number Summary:**
   - Minimum
   - First Quartile (Q1)
   - Median (Q2)
   - Third Quartile (Q3)
   - Maximum

2. **Plot the Boxplot:**
   - The box represents the interquartile range (IQR), from Q1 to Q3.
   - The line inside the box shows the median (Q2).
   - Whiskers extend from the minimum to Q1 and from Q3 to the maximum.
   - Ensure the values on the number line are rounded to the nearest ten.

### **For the Baltic Sea Data:**
Given Data: 715, 621, 482, 1151, 846, 274, 498, 258, 225, 348

1. **Sort the Data:**
   \[ 225, 258, 274, 348, 482, 498, 621, 715, 846, 1151 \]

2. **Five-Number Summary:**
   - **Minimum:** 225
   - **Q1:** 274 (midpoint of 258 and 274)
   - **Median (Q2):** 490 (midpoint of 482 and 498)
   - **Q3:** 780 (midpoint of 715 and 846)
   - **Maximum:** 1151

3. **Rounded Values to the Nearest Ten:**
   - Minimum: 230
   - Q1: 270
   - Median (Q2): 490
   - Q3: 780
   - Maximum: 1150

### **For the Aleutian Islands Data:**
Given Data: 267, 69, 74, 51, 80, 82, 98, 132, 229, 875

1. **Sort the Data:**
   \[ 51, 69, 74, 80, 82, 98, 132, 229, 267, 875 \]

2. **Five-Number Summary:**
   - **Minimum:** 51
   - **Q1:** 74 (midpoint of 69 and 74)
   - **Median (Q2):** 90 (midpoint of 82 and 98)
   - **Q3:** 248 (midpoint of 229 and 267)
   - **Maximum:** 875

3. **Rounded Values to the Nearest Ten:**
   - Minimum: 50
   - Q1: 70
   - Median (Q2): 90
   - Q3: 250
   - Maximum: 880

### **Explanation of Your Results:**
In the image, it seems like there was an issue with the first boxplot drawn for the Baltic Sea islands, possibly due to incorrect rounding or not properly setting the correct values on the number line. The corrected boxplot shows the accurate representation of the five-number summary values.

For the Aleutian Islands, the boxplot seems correct as drawn.

Would you like to explore this in more detail or have any further questions? Here are some related questions you might find interesting:

1. How is the interquartile range (IQR) calculated, and what does it signify in a dataset?
2. What is the importance of rounding in statistical plots, and when might it be best to avoid it?
3. How can outliers affect the appearance and interpretation of a boxplot?
4. What is the impact of skewed data on the median and quartiles?
5. How do different datasets affect the shape and spread of the boxplot?

**Tip:** Always double-check your calculations when creating boxplots, especially when rounding values, to ensure the boxplot accurately reflects the data.

Draw the boxplot for the given data for the Baltic Sea and the Aleutian Islands, rounding answers to the nearest ten.

Learn how to create boxplots for datasets representing Baltic Sea and Aleutian Islands, including finding the five-number summary and rounding values to the nearest ten. This lesson covers important statistical concepts, such as the interquartile range and median calculation.

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