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Box plots & histograms

Grade 7 · Math · Free lesson

Hi there! Today we are going to learn how to ask great questions and group data using cool math charts.

Before we make a chart, we need a good question. In math, we ask 'statistical questions' which have answers that vary, like 'How many minutes do my classmates read each night?'

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A box plot is a chart that shows how spread out our data is. It splits our data into four equal parts using a box and whiskers to show the middle half and the outer halves.

Low Median High

A histogram groups data into equal intervals, like 0-5, 6-11, and 12-17. It uses touching bars to show how many data points fall into each group.

1 - 5 6 - 10 11 - 15
✏️ Worked example

Imagine you want to study how much time students spend on homework. Let's walk through how to ask a good inquiry question and sort the data.

  1. First, we generate our inquiry question. A good question is: 'How many minutes do seventh-grade students spend on homework each night?'
  2. Next, we collect our data in minutes: 10, 15, 20, 22, 25, 30, 45, 50, 60.
  3. To make a histogram, we group the minutes into equal ranges: 0-20 minutes, 21-40 minutes, and 41-60 minutes.
  4. Now, we count how many data points fit into each range. The 0-20 range has 3 points, 21-40 has 3 points, and 41-60 has 3 points.
  5. Finally, we draw three touching bars of equal height to show our grouped homework data!
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