Questions on Box-and-Whisker Plots (Box Plots)
Multiple choice questions for Grade 6, focusing on Box-and-Whisker Plots (Box Plots). Each question is based on hypothetical real-life data. Students will interpret plots, identify components (minimum, Q1, median, Q3, maximum), and apply reasoning.
Box-and-Whisker Plots — Grade 6
20 Real-World Based Multiple Choice Questions (5 options each)
Answer key with explanations at the end
Questions
1. The minimum value in a box plot is 10, and the maximum is 50. What is the range?
A) 60
B) 50
C) 10
D) 40
E) 30
2. If Q1 = 20 and Q3 = 40, what is the interquartile range (IQR)?
A) 60
B) 20
C) 10
D) 30
E) 15
3. In a box plot of test scores:
Min = 55, Q1 = 60, Median = 70, Q3 = 85, Max = 100
What percent of students scored between 60 and 85?
A) 100%
B) 50%
C) 25%
D) 75%
E) 0%
4. Which value represents the middle of the data in a box plot?
A) Maximum
B) Minimum
C) Mean
D) Median
E) Range
5. What does the length of the box in a box plot represent?
A) Mean
B) IQR
C) Total range
D) Frequency
E) Median
6. A group of students timed how long it took them to run a mile:
Box Plot: Min = 6, Q1 = 7, Median = 8, Q3 = 9, Max = 10
Which student is an outlier if one student ran in 12 minutes?
A) 6
B) 7
C) 8
D) 9
E) 12
7. In a box plot, if Q1 = Q3, what can you say about the data?
A) All values are the same
B) Data is widely spread
C) Data is clustered in the middle
D) There is no range
E) Data is all even numbers
8. A box plot shows the time (in minutes) spent on homework:
Min = 15, Q1 = 20, Median = 25, Q3 = 30, Max = 35
How much time did the middle 50% of students spend on homework?
A) 15–35 min
B) 20–30 min
C) 25–30 min
D) 15–25 min
E) 10–20 min
9. Which part of a box-and-whisker plot helps identify the skew of data?
A) Whiskers only
B) Median line position
C) Maximum value
D) Total range
E) Quartiles only
10. A box plot shows:
Min = 40, Q1 = 50, Median = 55, Q3 = 60, Max = 100
What can you infer about the upper whisker?
A) Data is symmetric
B) Most data is above 60
C) There may be outliers on the high end
D) Data is very close together
E) The median is incorrect
11. If a box plot has Q1 = 60 and Q3 = 90, what is the IQR?
A) 30
B) 60
C) 90
D) 15
E) 45
12. What does a short box and long whiskers suggest?
A) Data is tightly grouped in the middle
B) The median is the highest number
C) All data is equal
D) Data has no spread
E) There is no variability
13. In a class test, the box plot shows:
Min = 50, Q1 = 55, Median = 65, Q3 = 85, Max = 100
What percent of students scored between 65 and 100?
A) 50%
B) 25%
C) 75%
D) 100%
E) 10%
14. What value splits the data into two equal halves in a box plot?
A) Q1
B) Q3
C) Median
D) Mean
E) Max
15. Why are box plots useful?
A) They show frequency
B) They show exact values
C) They show averages
D) They summarize data distribution
E) They create line graphs
16. A box plot has:
Q1 = 30, Q3 = 70. Which value lies outside the interquartile range?
A) 45
B) 60
C) 29
D) 50
E) 55
17. Which of the following values is not shown in a box plot?
A) Median
B) Q1
C) Q3
D) Mean
E) Maximum
18. The longer whisker in a box plot is on the left. What does this suggest?
A) Symmetrical data
B) Skewed left
C) Skewed right
D) Outliers on the right
E) Data is random
19. What is the best way to describe an outlier in a box plot?
A) Between Q1 and Q3
B) Equal to the median
C) Far beyond the whiskers
D) Close to the max
E) The minimum value
20. In a box plot with Min = 10, Q1 = 15, Median = 20, Q3 = 25, Max = 30, which statement is true?
A) The range is 20
B) The IQR is 15
C) The IQR is 10
D) The median is 25
E) The median is 30
Answer Key & Explanations
Q# |
Ans |
Explanation |
|---|---|---|
1 |
D |
50 - 10 = 40 |
2 |
B |
40 - 20 = 20 |
3 |
B |
50% of data lies between Q1 and Q3 |
4 |
D |
Median is the center value |
5 |
B |
Box = Interquartile Range |
6 |
E |
12 is beyond the max (10), possible outlier |
7 |
C |
Q1 = Q3 means tight middle data |
8 |
B |
Q1–Q3 is 20–30 min |
9 |
B |
Median line helps show skew |
10 |
C |
Max far from Q3 suggests outliers |
11 |
A |
90 - 60 = 30 |
12 |
A |
Small box = clustered data |
13 |
A |
65–100 = upper 50% |
14 |
C |
Median = middle of data |
15 |
D |
Box plots summarize spread & center |
16 |
C |
29 < Q1 = outside IQR |
17 |
D |
Mean not shown in box plot |
18 |
B |
Longer left whisker = skewed left |
19 |
C |
Outliers fall outside whiskers |
20 |
C |
25 - 15 = IQR = 10 |
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