Fishtank Learning

Anchor Problems

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<p style="margin:0">6th Grade</p>

<p style="margin:0">Unit 8: Statistics</p>

<p style="margin:0">Lesson 3: Anchor Problems</p>
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<h3 style="text-decoration: underline">Problem 1</h3>

<p>You are interested in knowing how fast different animals can travel. You call your local zoo to collect some data on some of the animals there. The table and dot plot below show the maximum speed, in miles per hour (mph), that an animal can travel over a quarter-mile distance.</p>

<ol start="1" style="list-style-type:lower-alpha">
	<li>How is the dot plot helpful to you in understanding how fast different animals in your sample can travel?</li>
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<p>&nbsp; &nbsp; &nbsp; &nbsp;b. Name an observation about the data shown in the dot plot.</p>

<p>&nbsp; &nbsp; &nbsp; c. You call the Smithsonian National Zoo in Washington, D.C., and get more information to add to your sample. You now have the speeds&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; of 68 animals, ranging from 0.15 mph to 70 mph. Why might you<strong> not </strong>want to use a dot plot to represent your new larger sample?</p>
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<span style="text-decoration-line: underline;">Problem 2</span></div>

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<p>After you call the Smithsonian National Zoo, you reorganize your information into a tally chart based on a range of speeds, as shown below. Create a histogram to represent your new data set.</p>

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<h3 style="text-decoration: underline">Problem 3</h3>

<p>The boys&rsquo; and girls&rsquo; basketball teams at Roosevelt Middle School are selling baseball caps in order to raise money to buy new uniforms. To determine which cap sizes to order, they collect measurements of the head circumference (distance around the head) of the people buying a cap. The following data set represents the head circumferences, in mm, of the adults.&nbsp;</p>

<p>The caps come in six sizes: XS, S, M, L, XL, and XXL. Each size covers a range of head circumferences.&nbsp;</p>

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<p style="">a.&nbsp;&nbsp;&nbsp;Complete the table&nbsp;to determine the frequency of each cap size.&nbsp;</p>

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<table class="table table-bordered" style="width: 100%;">
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		<tr>
			<th scope="col">Cap Sizes</th>
			<th scope="col">Interval of Head Circumferences (mm)</th>
			<th scope="col">Tally</th>
			<th scope="col">Frequency</th>
		</tr>
	</thead>
	<tbody>
		<tr>
			<td style="text-align: center;">XS</td>
			<td style="text-align: center;">510 - &lt; 530</td>
			<td>&nbsp;</td>
			<td>&nbsp;</td>
		</tr>
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			<td style="text-align: center;">S</td>
			<td style="text-align: center;">530 - &lt; 550</td>
			<td>&nbsp;</td>
			<td>&nbsp;</td>
		</tr>
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			<td style="text-align: center;">M</td>
			<td style="text-align: center;">550 - &lt; 570</td>
			<td>&nbsp;</td>
			<td>&nbsp;</td>
		</tr>
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			<td style="text-align: center;">L</td>
			<td style="text-align: center;">570 - &lt; 590</td>
			<td>&nbsp;</td>
			<td>&nbsp;</td>
		</tr>
		<tr>
			<td style="text-align: center;">XL</td>
			<td style="text-align: center;">590 - &lt; 610</td>
			<td>&nbsp;</td>
			<td>&nbsp;</td>
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			<td style="text-align: center;">XXL</td>
			<td style="text-align: center;">610 - &lt; 630</td>
			<td>&nbsp;</td>
			<td>&nbsp;</td>
		</tr>
	</tbody>
</table>
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<p style="">b.&nbsp;&nbsp;&nbsp;Create a histogram of the data.</p>
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<p style="">c.&nbsp;&nbsp;&nbsp;Use your histogram to answer the questions:</p>

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	<li>Describe the center of the data and explain how you determined your answer.</li>
	<li>How would the histogram change if you added head circumferences 551 mm and 569 mm to the data set?</li>
	<li>How many more people need either an XS or S than people who need an XL or XXL?</li>
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Last modified on April 12, 2023, 1:24 p.m.

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