<p style="text-align:justify"><span style="font-size:14px"><strong>Example 1.5 Data Sample of Quantitative Discrete Data</strong></span></p>

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<p style="text-align:justify"><span style="font-size:14px"><span style="color:black">The data are the number of books students carry in their backpacks. You sample five students. Two students carry three books, one student carries four books, one student carries two books, and one student carries one book. Thenumbers of books, 3, 4, 2, and 1, are the quantitative discrete data.</span></span></p>

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<p style="text-align:justify"><span style="font-size:14px"><span style="color:#000000"><strong>Example 1.6 Data Sample of Quantitative Continuous Data</strong></span></span></p>

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<p style="text-align:justify"><span style="font-size:14px">The data are the weights of backpacks with books in them. You sample the same five students. The weights (in pounds) of their backpacks are 6.2, 7, 6.8, 9.1, 4.3. Notice that backpacks carrying three books can have different weights. Weights are quantitative continuous data.</span></p>

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<p style="text-align:justify"><span style="font-size:14px"><span style="color:#000000"><strong>EXAMPLE&nbsp;1.7</strong></span></span></p>

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<p style="text-align:justify"><span style="font-size:14px">You go to the supermarket and purchase three cans of soup (500ml) tomato soup, (200ml) &nbsp;lentil, and (300ml) sweet corn, two packages of nuts (walnuts and peanuts), four different kinds of vegetable (broccoli, cauliflower, spinach, and carrots), and two desserts (750ml) pistachio ice cream and 100gms of chocolate chip cookies).</span></p>

<p style="text-align:justify"><span style="font-size:14px">Name data sets that are quantitative discrete, quantitative continuous, and qualitative(categorical).</span></p>

<p style="text-align:justify"><span style="font-size:14px">One Possible Solution:</span></p>

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<p style="text-align:justify"><span style="font-size:14px">The three cans of soup, two packages of nuts, four kinds of vegetables and two desserts are quantitative discrete data because you count them.</span></p>

<p style="text-align:justify"><span style="font-size:14px">The weights of the soups (500ml, 300ml,200 ml) are quantitative continuous data because you measure weights as precisely as possible.</span></p>

<p><span style="font-size:14px">Types of soups, nuts, vegetables and desserts are qualitative(categorical) data because they are categorical.</span></p>

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<p style="text-align:justify"><span style="font-size:14px"><span style="color:#000000"><strong>EXAmple 1.8</strong></span></span></p>

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<p style="text-align:justify"><span style="font-size:14px">The data are the colors of backpacks. Again, you sample the same five students. One student has a red backpack, two students have black backpacks, one student has a green backpack, and one student has a gray backpack. The colors <span style="color:#424242">red, black, black, green, and gray are qualitative data.</span></span></p>

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<p style="text-align:justify"><span style="font-size:14px"><span style="color:#000000"><strong>EXAmple 1.9</strong></span></span></p>

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<p style="text-align:justify"><span style="font-size:14px">Work collaboratively to determine the correct data type: quantitative or qualitative. Indicate whether quantitative data are continuous or discrete. Hint: Data that are discrete often start with the words the number of.</span></p>

<ol style="list-style-type:lower-alpha">
	<li>
	<p style="text-align:justify"><span style="font-size:14px">the number of pairs of shoes you own</span></p>
	</li>
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	<p style="text-align:justify"><span style="font-size:14px">the type of car you drive</span></p>
	</li>
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	<p style="text-align:justify"><span style="font-size:14px">the distance from your home to the nearest grocery store</span></p>
	</li>
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	<p style="text-align:justify"><span style="font-size:14px">the number of classes you take per school year</span></p>
	</li>
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	<p style="text-align:justify"><span style="font-size:14px">the type of calculator you use</span></p>
	</li>
	<li>
	<p style="text-align:justify"><span style="font-size:14px">weights of sumo wrestlers</span></p>
	</li>
	<li>
	<p style="text-align:justify"><span style="font-size:14px">number of correct answers on a quiz</span></p>
	</li>
	<li>
	<p style="text-align:justify"><span style="font-size:14px">IQ scores (This may cause some discussion<span style="color:black">.)</span></span></p>
	</li>
</ol>

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<p style="text-align:justify"><span style="font-size:14px"><span style="color:#000000"><strong>Solution 1.9</strong></span></span></p>

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<p style="text-align:justify"><span style="font-size:14px"><span style="color:black">Items a, d, and g are quantitative discrete; items c, f, and h are quantitative continuous; items b and e are qualitative or categorical.</span></span></p>

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<p style="text-align:justify"><span style="font-size:14px"><span style="color:#000000"><strong>EXAMPLE&nbsp;1.10</strong></span></span></p>

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<p style="text-align:justify"><span style="font-size:14px">A statistics professor collects information about the classification of her medical students as 1<sup>st</sup> year, 2<sup>nd</sup> year , 3<sup>rd</sup> year and 4<sup>th</sup> year. The data she collects are summarized in the pie chart<u><span style="color:#027eb5">.</span></u></span></p>

<p style="text-align:justify"><span style="font-size:14px">What type of data does this graph show?</span></p>

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<p><span style="font-size:14px"><img alt="" src="https://edupmquestionhelp.s3.ap-south-1.amazonaws.com/hint/uploads/images/16234104981623410498.jpg" style="height:605px; width:800px" /></span></p>

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<p style="text-align:justify"><span style="font-size:14px"><span style="color:#000000"><strong>Solution&nbsp;1.10</strong></span></span></p>

<p style="text-align:justify"><span style="font-size:14px">This pie chart shows the students in each year, which is&nbsp;<strong><span style="color:#424242">qualitative (or categorical) data</span></strong>.</span></p>
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