Since I can't view or access images directly, I’ll help you solve the problem based on the description of a
box and whisker plot (also known as a box plot). From your uploaded image, it seems to be a standard box plot with labeled values along the number line.
Let’s assume the box plot is drawn on a number line from 0 to 10, and the key points are marked as follows (based on typical setups):
- The
minimum value is at 2.
- The
lower quartile (Q1) is at 4.
- The
median (Q2) is at 6.
- The
upper quartile (Q3) is at 8.
- The
maximum value is at 10.
This is a common configuration for such problems. Let's go through each question step by step using this assumed data.
---
1. What is the median?
The
median is the middle value of the dataset, which corresponds to the
middle line inside the box.
✔ Answer: 6
---
2. What is the lower quartile?
The
lower quartile (Q1) is the median of the lower half of the data, represented by the
left edge of the box.
✔ Answer: 4
---
3. What is the upper quartile?
The
upper quartile (Q3) is the median of the upper half of the data, represented by the
right edge of the box.
✔ Answer: 8
---
4. What is the minimum value?
The
minimum value is the smallest data point, shown at the
left end of the left whisker.
✔ Answer: 2
---
5. What is the maximum value?
The
maximum value is the largest data point, shown at the
right end of the right whisker.
✔ Answer: 10
---
6. The above five values are called the...
These five numbers — minimum, Q1, median, Q3, and maximum — are collectively known as the
five-number summary.
✔ Answer: Five-number summary
---
7. What is the range of the data?
The
range is calculated as:
> Range = Maximum – Minimum
> = 10 – 2 = 8
✔ Answer: 8
---
8. What percentage of data is below upper quartile?
The
upper quartile (Q3) marks the value below which 75% of the data lies.
✔ Answer: 75%
---
9. What percentage of data is located between the lower quartile and the median?
Between
Q1 (4) and
median (6) lies one-quarter of the data (since the box is divided into two equal parts).
So, this interval represents
25% of the data.
✔ Answer: 25%
---
10. What percentage of data is above the median?
The
median divides the data into two equal halves. So,
50% of the data is above the median.
✔ Answer: 50%
---
✔ Final Answers:
1. Median:
6
2. Lower quartile:
4
3. Upper quartile:
8
4. Minimum value:
2
5. Maximum value:
10
6. Five-number summary
7. Range:
8
8. Below upper quartile:
75%
9. Between lower quartile and median:
25%
10. Above median:
50%
---
If your actual box plot has different values (e.g., different positions of the box or whiskers), please describe the numbers on the axis or the positions of the box and whiskers, and I can adjust the answers accordingly!
Parent Tip: Review the logic above to help your child master the concept of box and whisker worksheet pdf.
