This worksheet helps students practice reading box and whisker plots using real-world examples like test scores and study habits.

Let's solve each question step by step using the box-and-whisker plots provided in the worksheet.

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First Box Plot: Test Scores (as %) for 9th Period

This box plot shows test scores as percentages. The five-number summary is:

- Minimum: 38
- Q1 (First Quartile): 72
- Median (Q2): 88
- Q3 (Third Quartile): 96
- Maximum: 102

#### Question 1: What was the high score on the test?
The maximum value in a box plot is the highest data point.
- Answer: 102

#### Question 2: What percent of the class scored above a 72?
- Q1 = 72 → 25% of students scored below 72.
- So, 75% scored above 72.
- Answer: 75%

#### Question 3: What was the median score on the test?
The median is the middle line in the box.
- Answer: 88

#### Question 4: What percent of the class scored between 88 & 96?
- 88 is the median (Q2) → 50% of students scored below it.
- 96 is Q3 → 75% scored below it.
- So, the percentage between 88 and 96 is:
- 75% − 50% = 25%
- Answer: 25%

#### Question 5: Do you think that this test was too hard for the students? Explain.
We analyze the distribution:
- The median is 88 — which is quite high.
- 75% of students scored above 72, and only 25% scored below 72.
- The maximum is 102 (possibly extra credit), and the minimum is 38 — but only one student had that low score.
- Since most students scored above 72 and the median is 88, this suggests the test was not too hard — in fact, it might have been moderate to easy for most.

> Answer: No, the test was not too hard. The median score was 88, and 75% of students scored above 72, indicating most students performed well.

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Second Box Plot: Average Minutes Per Night Spent On Homework

Five-number summary:
- Minimum: 0
- Q1: 20
- Median (Q2): 48
- Q3: 60
- Maximum: 190

#### Question 7: What percent of the sophomores spend more than 60 minutes on homework per night?
- Q3 = 60 → 75% of students spend less than or equal to 60 minutes.
- So, 25% spend more than 60 minutes.
- Answer: 25%

#### Question 8: What is the range of times that the middle 50% of the sophomores spend on homework per night?
The middle 50% is from Q1 to Q3.
- Q1 = 20, Q3 = 60
- Range = 60 − 20 = 40 minutes
- Answer: 40 minutes

#### Question 9: How many sophomores do not do homework?
- The minimum is 0 minutes → some students spent 0 minutes.
- But we don’t know how many students are in the class.
- Without total number of students, we cannot determine how many spent 0 minutes.
- However, the box plot shows 0 as the minimum, so at least one student did no homework.
- But since we don't have the total number of students, we cannot give a numerical answer.

> Answer: We cannot determine the exact number because the total number of students is not given. However, some students did not do homework (since minimum = 0).

#### Question 10: What percent of the sophomores spend less than 20 minutes per night on homework?
- Q1 = 20 → 25% of students spend less than or equal to 20 minutes.
- But "less than 20" excludes those who spent exactly 20.
- Since we don’t know if there’s a gap or exact values, we assume Q1 = 20 means 25% are ≤ 20.
- So, less than 20 would be less than 25%.
- But without more info, we can say at most 25% spend less than 20 minutes.
- However, in typical interpretation, Q1 = 20 implies 25% of students have values ≤ 20, so 25% spend 20 or fewer minutes.
- Therefore, about 25% spend less than or equal to 20 minutes.
- But the question asks less than 20 → slightly less than 25%.

But in standard box plot interpretation, we assume the quartiles divide the data into equal parts, so:
- 25% of students spend ≤ 20 minutes
- Thus, approximately 25% spend less than 20 minutes (assuming no ties or discrete values)

> Answer: Approximately 25%

However, strictly speaking, Q1 = 20 means 25% of students are ≤ 20, so less than 20 could be slightly less than 25%, but without exact data, we often approximate.

So, Answer: 25%

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✔ Final Answers:

#### Test Scores (1–5):
1. 102
2. 75%
3. 88
4. 25%
5. No, the test was not too hard. The median was 88, and 75% of students scored above 72, suggesting most did well.

#### Homework Time (7–10):
7. 25%
8. 40 minutes
9. Cannot determine exact number; minimum is 0, so some students did no homework.
10. 25%

Let me know if you'd like a visual explanation or help interpreting the box plots!