Box Plots - Grade 11 Math
This worksheet focuses on understanding and interpreting box plots for Grade 11 students, covering concepts like median, quartiles, range, and outliers.
Includes
Standards
Topics
Box Plots: Understanding Data Distribution
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
A box plot (also known as a box-and-whisker plot) displays the five-number summary of a set of data: the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. It is a useful way to visualize the distribution of data and identify potential outliers.
1. Consider the following data set: 12, 15, 18, 20, 22, 25, 28, 30, 32, 35, 38, 40. Calculate the five-number summary for this data set.
Minimum:
First Quartile (Q1):
Median (Q2):
Third Quartile (Q3):
Maximum:
2. What does the length of the box in a box plot represent?
The range of the data
The interquartile range (IQR)
The mean of the data
The mode of the data
3. A box plot can show the exact value of every data point in a set.
True
False
4. Given a data set with Q1 = 20, Q3 = 40, and an Interquartile Range (IQR) of 20. What is the upper fence for identifying outliers?
5. Draw a box plot for the following data set on the number line provided: 5, 8, 10, 12, 15, 18, 20, 22, 25, 28, 30.
Match each term with its correct definition.
1. Median
a. The middle value of the lower half of the data
2. Interquartile Range (IQR)
b. The middle value of the entire data set
3. First Quartile (Q1)
c. The difference between the third and first quartiles
Related Worksheets
Scatter Plot Association Worksheet
Grade 11 Math worksheet focusing on understanding and interpreting scatter plot associations, including correlation and causation.
Histogram Interpretation Worksheet
A Grade 11 math worksheet focused on interpreting and analyzing histograms, including identifying distribution types, calculating measures of central tendency, and understanding frequency.
Graph Features Analysis
Analyze and identify key features of various graphs including domain, range, intercepts, and intervals of increase/decrease.
Graphing Ordered Pairs
This worksheet focuses on graphing ordered pairs in various quadrants of the coordinate plane, suitable for Grade 11 math students.
Grade 11 Math: Histograms
This worksheet focuses on understanding, interpreting, and constructing histograms, including frequency and relative frequency histograms, for Grade 11 math students.
Coordinate Points on a Plane
Explore and practice identifying, plotting, and analyzing coordinate points on a Cartesian plane.
Coordinate Points on a Plane
Explore and practice identifying, plotting, and analyzing coordinate points on a Cartesian plane.
Key Features of Graphs Worksheet
Explore and identify key features of various functions from their graphs, including domain, range, intercepts, and intervals of increase/decrease.