FastChomp
Practice · Learn · Achieve

Florida Grade 6 Math · Data Analysis and Probability

MA.6.DP.1.5: Making Box Plots and Histograms

What this Grade 6 benchmark means, worked examples, common mistakes, and a free printable worksheet.

Created by a Florida mom · Published by Tropical Learning LLC

Download Free Worksheet (PDF)See worked examples

What Is Benchmark MA.6.DP.1.5?

Students create box plots and histograms from numerical data in real-world contexts, with titles, labels, scales, and units. They also discuss how to collect truthful data.

For a box plot, order the data and find the five-number summary. For a histogram, choose equal intervals (bins), count how many values fall in each, and draw touching bars.

Official benchmarkCreate box plots and histograms to represent sets of numerical data within real-world contexts.

On the FAST test: part of the Grade 6 reporting category Geometric Reasoning, Data Analysis, and Probability, which is about 25–36% of the test.

Worked Examples

Worked Example 1

Five-Number Summary

Find the five-number summary of 3, 5, 6, 8, 9, 11, 12, 18.
  1. 1Minimum 3 and maximum 18.
  2. 2Median: (8 + 9) ÷ 2 = 8.5
  3. 3Q1 is the median of 3, 5, 6, 8: (5 + 6) ÷ 2 = 5.5
  4. 4Q3 is the median of 9, 11, 12, 18: (11 + 12) ÷ 2 = 11.5
Answer: 3, 5.5, 8.5, 11.5, 18

Worked Example 2

Histogram Bins

Ages at a party: 3, 12, 15, 18, 22, 7, 14, 25. Count the values in the bins 0–9, 10–19, and 20–29.
  1. 10–9: 3 and 7, so 2 values.
  2. 210–19: 12, 15, 18, and 14, so 4 values.
  3. 320–29: 22 and 25, so 2 values.
Answer: 2, 4, 2

Common Mistakes to Watch For

Using unequal intervals

Wrong:Bins of 0–9, 10–14, and 15–29

Every bin in a histogram should be the same width, like 0–9, 10–19, 20–29.

Finding quartiles without ordering the data

Wrong:Q1 of 9, 3, 12, 5 is the average of 3 and 12.

Order the data first, then find the middle of each half.

Helpful Math Tip

Collect a quick set of real data (like minutes of screen time each day for a week) and build both displays together.

Related Grade 6 Skills

MA.6.DP.1.3

Reading Box Plots

MA.6.DP.1.4

Describing Data in Histograms and Line Plots

Make Florida Math Practice More Fun

Help your child build math confidence with original interactive questions aligned with Florida's B.E.S.T. Mathematics Standards.

Start Practicing Free

Independent Educational Platform. FastChomp is published by Tropical Learning LLC and is not affiliated with, sponsored by, or endorsed by the Florida Department of Education. FAST and Star assessment names are referenced for informational purposes only. FastChomp practice questions are original educational materials, not official Florida FAST assessment questions.