Creating Box Plots and Histograms: Sample FAST Questions
Students create box plots and histograms to represent sets of numerical data from real-world contexts. For box plots, they compute the five-number summary and draw the plot; for histograms, they choose appropriate intervals (bins) and build bars showing the frequency of data in each interval.
How the FAST tests this benchmark
The FAST uses graphic response items where students construct or complete a box plot or histogram, and multiple choice items identifying the correct display for a given data set.
Skills students need
Create box plots from numerical data
Create histograms from numerical data
Try 4 real MA.6.DP.1.5 questions
These come straight from Algebro's question bank. Pick an answer to check it instantly.
Question 1EasyMultiple Choice
The histogram shows the number of laps swimmers completed during a practice session. How many swimmers completed from 5 to less than 10 laps?
Swimming Laps
Correct answer: C. 6
This explanation shows one way to solve the problem.
Identify the interval: We need the bar for [5,10), which includes swimmers who completed at least 5 and fewer than 10 laps.
Read the bar height: The bar for [5,10) reaches a height of 6. So 6 swimmers fall in this interval.
Final Answer
6
Question 2MediumEquation Editor
A data set is: 5,11,17,22,28,34,40,46. What is Q1 (the first quartile) for this data set?
Enter the number only. Do not include units like $, %, or ft²
Correct answer: 14
This explanation shows one way to solve the problem.
Median (8 values): 222+28=25 (midpoint of 4th and 5th)
Lower half: 5, 11, 17, 22: 211+17=14 → Q1 =14
Final Answer
14
Question 3MediumEquation Editor
A data set is: 6,13,19,25,31,37,43,50. What is Q1 (the first quartile) for this data set?
Enter the number only. Do not include units like $, %, or ft²
Correct answer: 16
This explanation shows one way to solve the problem.
Median (8 values): 225+31=28 (midpoint of 4th and 5th)
Lower half: 6, 13, 19, 25: 213+19=16 → Q1 =16
Final Answer
16
Question 4HardMultiple Select
The histogram shows the daily step counts (in thousands) for 24 fitness trackers. Select ALL true statements about this distribution.
Daily Step Counts (thousands)
Select every answer that applies, then check.
Correct answer: A, B, C, D (highlighted above)
This explanation shows one way to solve the problem.
Identify the shape: Most data is on the left (low step counts) with a tail extending right. This is skewed right, not symmetric.
Find the peak: The tallest bar is [2K,4K) with 8 people.
Count people under 6K steps: 7+8+5=20 out of 24 walk under 6,000 steps. That is most.
Count people walking 6K+: 3+1=4 people walk 6,000 or more steps. 4<5, so this is true.
Final Answer
The distribution is skewed right;the peak is [2K, 4K);most walk under 6K;fewer than 5 walk 6K+
Master MA.6.DP.1.5 with personalized practice
These are 4 of the 100+ questions Algebro has for this benchmark alone. Take the diagnostic, get a study plan that targets your gaps, and practice with an AI tutor that explains every step.
