Worksheet featuring two box and whisker plots with questions about range, median, quartiles, and percentages.

It looks like you've uploaded a worksheet titled "Box and Whisker Plots #1" with a series of questions related to interpreting box-and-whisker plots. Since I can't view images directly, I'll need you to provide the data from the image, such as:

- The values on the number line (e.g., the scale)
- The positions of the box and whiskers (i.e., the five-number summary: minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), maximum)
- Or describe the plot in words.

However, I can help you solve typical problems like this if you give me the five-number summary or describe the plot.

For now, here’s how to interpret a box-and-whisker plot and answer common questions:

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🔹 What is a Box-and-Whisker Plot?

It displays the five-number summary:
- Minimum (left end of whisker)
- Lower Quartile (Q1) (left edge of box)
- Median (Q2) (line inside the box)
- Upper Quartile (Q3) (right edge of box)
- Maximum (right end of whisker)

The interquartile range (IQR) = Q3 - Q1

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🔹 Common Questions & How to Answer Them:

Let’s assume a sample box plot based on a typical problem. Suppose the number line goes from 0 to 20, and the box plot has:
- Minimum = 4
- Q1 = 8
- Median = 12
- Q3 = 16
- Maximum = 20

Then answers would be:

1. What is the range?
→ Range = Max – Min = 20 – 4 = 16

2. What is called the [box]?
→ The box represents the interquartile range (IQR) — the middle 50% of the data.

3. What is the median?
→ The median is the line inside the box = 12

4. What fraction represents numbers between 21–27?
→ Wait, if max is 20, then no data is between 21–27. So 0 or none.

But if the data goes up to 27, adjust accordingly.

5. What is the upper median?
→ "Upper median" usually refers to Q3 = 16

6. What is the lower median?
→ "Lower median" usually refers to Q1 = 8

7. What is the range?
→ Already answered: 16

8. What percentage of numbers are smaller than the median?
→ The median splits the data into two halves → 50%

9. What is the IQR?
→ IQR = Q3 – Q1 = 16 – 8 = 8

10. What percentage of numbers are within the box?
→ The box covers Q1 to Q3 → 50% of the data

11. 75% of the numbers are smaller than what value?
→ That’s Q3 = 16

12. What would be the outlier?
→ Outliers are typically values outside:
- Lower bound: Q1 – 1.5×IQR = 8 – 1.5×8 = 8 – 12 = –4
- Upper bound: Q3 + 1.5×IQR = 16 + 12 = 28
→ Any value < –4 or > 28 is an outlier. If your data has values like 30, that’s an outlier.

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📌 Please Provide:

- The actual values on the number line.
- The positions of the box and whiskers (or describe them).
- Or share the data points if available.

Once I have that, I can give you exact answers for your worksheet.

Alternatively, if you describe the plot, I’ll walk you through each question step by step.