Given a box plot in a real-world context, students determine the minimum, lower quartile, median, upper quartile, and maximum — the five-number summary — and use it to describe the spread and distribution of the data. They also compute the interquartile range and compare two data sets shown as box plots.
How the FAST tests this benchmark
On the FAST, students answer multiple choice and equation editor items reading values from a box plot, finding the IQR or range, and comparing distributions between two box plots.
Skills students need
Read the five-number summary from a box plot
Describe the spread and distribution of data shown in a box plot
Try 4 real MA.6.DP.1.3 questions
These come straight from Algebro's question bank. Pick an answer to check it instantly.
Question 1EasyMultiple Choice
A data set is shown. 8,13,18,24,29,34,40. What is the interquartile range (IQR) of this data set?
Data Set
Correct answer: C. 21
This explanation shows one way to solve the problem.
A data set is shown. 12,18,23,31,35,42,47,58. What is the interquartile range (IQR) of the data set?
Data Distribution
Enter the number only. Do not include units like $, %, or ft²
Correct answer: 24
This explanation shows one way to solve the problem.
Median (8 values): 231+35=33
Q1 (lower half: 12, 18, 23, 31): 218+23=20.5
Q3 (upper half: 35, 42, 47, 58): 242+47=44.5
IQR: 44.5−20.5=24
Final Answer
24
Question 3MediumEquation Editor
A data set is shown. 10,16,22,28,36,42,48,56. What is the interquartile range (IQR) of the data set?
Data Set
Enter the number only. Do not include units like $, %, or ft²
Correct answer: 26
This explanation shows one way to solve the problem.
Median (8 values): 228+36=32 (midpoint of 4th and 5th)
Q1 (lower half: 10, 16, 22, 28): 216+22=19
Q3 (upper half: 36, 42, 48, 56): 242+48=45
IQR: 45−19=26
Final Answer
26
Question 4HardMultiple Choice
The box plots show the number of sit-ups completed by Team A and Team B during a fitness test. Which team generally performed better, and what evidence supports this?
Sit-Ups Completed
Correct answer: C. Team B, because its median of 20 and Q1 of 14 are both higher than Team A's
This explanation shows one way to solve the problem.
Compare Q1 and medians: Looking at the box plots, Team B's box sits entirely higher: Q1 = 14 vs. 8, median = 20 vs. 15.
Team B scored higher overall: Team B's entire box plot is shifted to the right, with all five-number summary values higher → Team B generally performed better.
Final Answer
Box plot B, because its median and quartiles are all higher than Box plot A's
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