Interpreting Box and Whisker Plots Worksheet | PDF - Free Printable

Let me work through this box-and-whisker plot worksheet step by step.

First Box Plot: Average Monthly High Temperatures for Milwaukee

Looking at the first box-and-whisker plot, I need to identify each value:
- The leftmost whisker end (minimum): 26
- The left edge of the box (lower quartile/Q1): 35
- The line inside the box (median): 57
- The right edge of the box (upper quartile/Q3): 73
- The rightmost whisker end (maximum): 80

For the interquartile range (IQR), I need to calculate: Q3 - Q1 = 73 - 35 = 38

Second Box Plot: Test Scores for 9th Period

Now let me analyze the second box plot:
- Minimum: 38
- Lower Quartile (Q1): 72
- Median: 88
- Upper Quartile (Q3): 96
- Maximum: 102

Question 2: What was the high score on the test?
The high score is the maximum value, which is 102.

Question 3: What percent of the class scored above a 72?
In a box-and-whisker plot:
- 25% of data is below Q1
- 25% is between Q1 and median
- 25% is between median and Q3
- 25% is above Q3

Since 72 is Q1 (the lower quartile), that means 75% of students scored above 72 (because 25% scored below Q1).

Question 4: What was the median score on the test?
The median is shown by the line inside the box, which is 88.

Question 5: What percent of the class scored between 88 and 96?
88 is the median and 96 is Q3 (upper quartile). Between the median and Q3 represents 25% of the data.

Question 6: Do you think that this test was too hard for the students? Explain.
Let me think about this:
- The minimum score was 38%
- The median was 88%
- The maximum was 102% (possibly extra credit)
- 75% of students scored above 72%
- Only 25% scored below 72%

With a median of 88%, most students did quite well. However, there was one student who scored only 38%, which is quite low. But overall, with 75% scoring above 72% and a median of 88%, the test doesn't seem too hard for most students. The majority performed well.

Let me verify my answers:

Milwaukee table:
- Minimum: 26 ✓
- Maximum: 80 ✓
- Median: 57 ✓
- Lower Quartile: 35 ✓
- Upper Quartile: 73 ✓
- Interquartile Range: 73 - 35 = 38 ✓

Test questions:
2. High score: 102 ✓
3. Percent above 72: 75% ✓ (since 72 is Q1, and 25% is below Q1)
4. Median: 88 ✓
5. Percent between 88 and 96: 25% ✓ (between median and Q3)
6. Explanation about difficulty - reasonable answer based on the data ✓

Final Answer:

Milwaukee Table:
- Minimum: 26
- Maximum: 80
- Median: 57
- Lower Quartile: 35
- Upper Quartile: 73
- Interquartile Range: 38

Questions 2-6:
2. 102
3. 75%
4. 88
5. 25%
6. No, the test does not appear to be too hard. The median score was 88%, meaning half the class scored 88% or higher. Additionally, 75% of students scored above 72%. While one student scored very low (38%), the majority of students performed well on this test.