Since I can't view or access images directly, I can't see the specific box and whisker plot you've uploaded. However, I can guide you through how to solve a typical
box and whisker plot problem based on the questions listed in your worksheet.
Let’s assume the box and whisker plot is drawn on a number line from 0 to 10, and the box spans from 3 to 8, with a median at 5. The whiskers extend from 1 to 10. This is a common example used in such worksheets. If your image has different values, you can adjust accordingly.
Here’s how to interpret the box and whisker plot and answer each question:
---
Box and Whisker Plot Basics:
A box and whisker plot (also called a box plot) displays five key statistics:
-
Minimum value
-
Lower quartile (Q1)
-
Median (Q2)
-
Upper quartile (Q3)
-
Maximum value
These are represented as:
- The
whiskers show the minimum and maximum.
- The
box spans from Q1 to Q3.
- A
line inside the box marks the median.
---
Answering the Questions:
Assume the plot looks like this:
```
Min = 1
Q1 = 3
Median = 5
Q3 = 8
Max = 10
```
Now, let's go through each question:
---
1. What is the median?
👉 The median is the line inside the box.
✔ Answer: 5
---
2. What is the lower quartile?
👉 The lower quartile (Q1) is the left end of the box.
✔ Answer: 3
---
3. What is the upper quartile?
👉 The upper quartile (Q3) is the right end of the box.
✔ Answer: 8
---
4. What is the minimum value?
👉 The smallest value shown by the left whisker.
✔ Answer: 1
---
5. What is the maximum value?
👉 The largest value shown by the right whisker.
✔ Answer: 10
---
6. The above five values are called the...
👉 These five numbers are known as the
five-number summary.
✔ Answer: Five-number summary
---
7. What is the range of the data?
👉 Range = Maximum – Minimum
= 10 – 1 = 9
✔ Answer: 9
---
8. What percentage of data is below upper quartile?
👉 The upper quartile (Q3) separates the lowest 75% from the highest 25%.
So, 75% of the data is below Q3.
✔ Answer: 75%
---
9. What percentage of data is located between the lower quartile and the median?
👉 Between Q1 and the median is one-quarter of the data (from 25th percentile to 50th percentile).
✔ Answer: 25%
---
10. What percentage of data is above the median?
👉 The median divides the data into two equal parts.
So, 50% of the data is above the median.
✔ Answer: 50%
---
✔ Final Answers Summary:
1. Median:
5
2. Lower quartile:
3
3. Upper quartile:
8
4. Minimum:
1
5. Maximum:
10
6. Five-number summary
7. Range:
9
8. Below upper quartile:
75%
9. Between Q1 and median:
25%
10. Above median:
50%
---
⚠️
Note: If your actual box plot has different values (e.g., different positions for the box or whiskers), please describe them (e.g., "the box starts at 4, ends at 7, median at 5, whiskers from 2 to 9"), and I’ll recalculate accordingly!
Let me know if you'd like help interpreting your specific plot!
Parent Tip: Review the logic above to help your child master the concept of box plot practice worksheet.
