Representing data - Lesson 2 by apteacher

mathematics · @apteacher · Apr 18 '18

$30.54

Representing data - Lesson 2

<html>
<h1>Histograms</h1>
<p><img src="https://www.wikihow.com/images/thumb/9/96/Read-Histograms-Step-1-Version-2.jpg/aid1530579-v4-728px-Read-Histograms-Step-1-Version-2.jpg" width="728" height="546"/></p>
<p><a href="https://www.wikihow.com/images/thumb/9/96/Read-Histograms-Step-1-Version-2.jpg/aid1530579-v4-728px-Read-Histograms-Step-1-Version-2.jpg">Image source</a></p>
<p>A new kind of graph that we introduce to grade 7 learners is the histogram. &nbsp;Just like a bar graph, a histogram consists of bars.. &nbsp;The main difference between a bar graph and a histogram is that a bar graph is used to display discrete data (data that has been counted) and a histogram is used to display data that has been grouped into intervals. &nbsp;The intervals must be consecutive and they may not overlap. &nbsp;The second difference between a bar graph and a histogram is that the bars of the bar graph does not touch, but the bars of a histogram always touch.</p>
<p><br></p>
<h1>Example:</h1>
<p>A grade 7 class with 30 learners wrote a Mathematics test. &nbsp;The teacher converted each of the learners mark into a percentage and then grouped the results into different intervals.</p>
<p>The information is shown below:</p>
<p><img src="https://imgoat.com/uploads/0935e4cd59/105822.png" width="639" height="60"/></p>
<p>The table above has 7 intervals. &nbsp;This means I can place the percentages of the learners underneath each interval and add them all together when I am finished writing all the learners percentages.</p>
<p>I write each learner's percentage under the correct interval.</p>
<p><br></p>
<h3>After the teacher wrote the intervals of the percentages, she represented the data in a histogram as shown below:</h3>
<p><img src="https://imgoat.com/uploads/0935e4cd59/105823.png" width="553" height="324"/></p>
<p><br></p>
<p><br></p>
<p>The histogram is used to display continuous data. &nbsp;Continuous data is data that is measured.</p>
<p>For example, if we measure the height of each learner in the class, and there are 30 learners in a class, it is not practical to draw a graph with each learners' height, instead, we group the heights together into intervals. Remember that growth is gradual, you can't be 1 meter tall the one day, and expect to be 1,5 meters the next day.</p>
<p><br></p>
<h3>Most important is to remember that the intervals can not overlap each other, for example, we can't have intervals of 20-29 and 29-39,&nbsp; because the number 29 is in both intervals, so where are you going to place the number?</h3>
<p><br></p>
<h2>Key words to remember:</h2>
<ul>
  <li>Histogram: &nbsp;a graph that uses vertical bars to show grouped data</li>
  <li>Discrete data: &nbsp;data that is counted</li>
  <li>Continuous data: &nbsp;data that is measured. (Can be grouped in intervals)</li>
</ul>
<p><br></p>
<p><br></p>
<p><img src="https://imgoat.com/uploads/0935e4cd59/105832.gif" width="589" height="100"/></p>
</html>

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