Box Plots (Box and Whisker)

Name:

Class:

Date:

Show your work for each problem.

1.
What does the line inside a box plot represent?
1. a)The median
2. b)The mean
3. c)The range
4. d)The mode
2.
The box in a box plot contains what percentage of the data?
1. a)50%
2. b)75%
3. c)25%
4. d)100%
3.
For the data set: 5, 8, 12, 15, 18, 22, 25, what is the median?
4.
What is the minimum value in this data set: 23, 45, 12, 67, 34, 56, 8?
5.
If Q1 = 20 and Q3 = 45, what is the interquartile range (IQR)?
1. a)65
2. b)20
3. c)25
4. d)32.5
6.
Find Q1 for the data set: 4, 7, 10, 12, 15, 18, 21, 24, 27
7.
A box plot shows Q1 = 30 and Q3 = 50. Calculate the upper fence for identifying outliers (use the formula: Q3 + 1.5 x IQR).
8.
Find the five-number summary for: 3, 7, 8, 12, 14, 18, 21
9.
Two box plots have the same median but Box A has a smaller box than Box B. What can you conclude?
1. a)Data A has more values
2. b)Data B has more outliers
3. c)Data A is more consistent
4. d)Data B is more consistent
10.
Is 95 an outlier for data with Q1 = 40, Q3 = 60?
11.
A box plot shows the median line closer to Q1 than to Q3. This indicates the data is:
1. a)Perfectly symmetric
2. b)Bimodal
3. c)Skewed left (negatively skewed)
4. d)Skewed right (positively skewed)
12.
A data set has Min = 10, Q1 = 25, Median = 40, Q3 = 55, Max = 100. Is 100 an outlier? Enter the upper fence value.
13.
Compare two classes: Class A (Median = 78, IQR = 12) and Class B (Median = 75, IQR = 24). Which class performed better and which was more consistent?
14.
Find the complete five-number summary for: 2, 5, 7, 9, 11, 14, 16, 19, 22, 25, 28
15.
Calculate the lower fence for data with Q1 = 35 and Q3 = 65.
16.
What do the whiskers on a box plot show?
1. a)Only the outliers
2. b)The mean values
3. c)The range from minimum to Q1 and Q3 to maximum
4. d)The standard deviation