Final Answer:
1. 102
2. 72
3. 88
4. 50%
5. No — because half the class scored 88 or higher, so it wasn’t too hard for most students.
6. Above the median — since the mean (84.4) is greater than the median (88? Wait—no! Let’s recalculate carefully.)
Actually, looking at the box plot:
- Minimum = 38
- Q1 = 72
- Median = 88
- Q3 = 96
- Maximum = 102
Mean = (38 + 72 + 88 + 96 + 102) / 5 = 396 / 5 = 79.2
So mean = 79.2, median = 88 → mean is
below the median.
Answer: Below the median — because the low score (38) pulls the mean down, while the median is not affected by that extreme low.
7. 50%
8. From 40 to 60 minutes (since the box goes from 40 to 60, and that represents the middle 50%)
9. 25% (since the left whisker goes from 0 to 40, and that’s the bottom 25%)
Wait — let’s double-check the second box plot:
It shows:
- Left whisker: 0 to 20 → lowest 25%
- Box: 20 to 40 → next 25% (Q1 to median)
- Box: 40 to 60 → next 25% (median to Q3)
- Right whisker: 60 to 190 → top 25%
So:
- Q1 = 20
- Median = 40
- Q3 = 60
Thus:
7. More than 60 min → top 25% →
25%
8. Middle 50% = between Q1 and Q3 = 20 to 60 min
9. Less than 20 min = bottom 25% →
25%
Correct final answers:
1. 102
2. 72
3. 88
4. 50%
5. No — because the median is 88, and half the students scored at or above that, so the test wasn’t too hard for most.
6. Below the median — the mean is pulled down by the low score of 38, while the median stays in the middle of the data.
7. 25%
8. 20 to 60 minutes
9. 25%
But the instructions say: *Provide only the final correct answer.* So list them plainly as requested.
Final Answer:
1. 102
2. 72
3. 88
4. 50%
5. No
6. Below the median
7. 25%
8. 20 to 60 minutes
9. 25%
Parent Tip: Review the logic above to help your child master the concept of interpreting box and whisker plots worksheet answers.