Line Plots

        <p>
            As mathematicians, we can calculate all kinds of interesting numbers
            based on the world around us. But how do we communicate these
            numbers to other people? The best way to do this is by expressing
            our numbers in a visual, easy-to-understand format. And when it
            comes to visual tools, line plots represent an excellent option.
            Pretty much anyone can understand what numbers and statistics mean
            with one quick look at a line plot. But how do we build our own line
            plots?
        </p>
        <h2>Line plots: An explanation</h2>
        <p>
            Different mathematicians use different names for line plots, and
            some call them "dot plots." But no matter what we decide to call it,
            a line plot is a type of graph. As the name "dot plot" suggests,
            these graphs display data visually using dots on a line. The number
            of dots corresponds to statistical values.
        </p>
        <p>
            For example, you might ask your friends how many shoes they own.
            This quick survey might provide you with a range of different
            results. Five of your friends might own just one pair, three might
            own two pairs, and two might own five pairs.
        </p>
        <p>
            Each of these values would give us a different number of dots on a
            line graph. We'd get five dots for one pair of shoes, three dots for
            two pairs of shoes, and two dots for five pairs of shoes.
        </p>
        <h2>Building your own dot plot</h2>
        <p>
            Try building your own dot plot by conducting your own quick survey.
            Send out a few text messages and ask your friends how many shoes
            they own.
        </p>
        <p>
            Next, all we need to do is draw a horizontal line with numbers along
            the bottom -- perhaps from 1 to 10.
        </p>
        <p>
            Finally, take your data and write dots above each number based on
            how many of your friends have a certain number of shoes.
        </p>
        <p>It's that easy!</p>
        <h2>Interpreting line plots</h2>
        <p>Consider the following line plot:</p>
        <img
            src="/assets/vt-hotmath-legacy/images/gt/lessons/genericalg1/line_plot.gif"
            alt=""
        />
        <p>
            What does this tell us about the number of students in each
            classroom?
        </p>
        <p>
            We can see that one class has just 26 students, two classes have 27
            students, four classes have 29 students, two classes have 30
            students, one class has 31 students, no classroom has 32 students,
            and one class has 33 students.
        </p>
        <p>
            With a quick glance, we can see that most classes have 29 students.
            We also know that in this survey, classrooms range in size from 26
            students to 33 students. If this data was represented in a
            numerical, non-visual manner, it might have been more difficult for
            us to come to these conclusions.
        </p>
        <h2>When Should We Use Line Plots?</h2>
        <p>
            Line plots are especially useful if your survey size is quite small.
            However, they might also be useful if you're dealing with the
            distribution of data over a small set. They're also an excellent
            choice if you want to draw attention to clusters or gaps in your
            data.
        </p>
        <p>
            However, you can make your line plots as complicated as you like --
            and it can help visualize surveys of the entire planet. As long as
            you group your data into smaller categories, a line plot can handle
            all kinds of data.
        </p>
        <p>
            For example, you could run a survey on literacy rates throughout the
            world. Ten countries have a literacy rate of almost 100%, and you
            can group these together under one category in your line plot.
            However, there are many other countries that have literacy rates
            that are under 50%, and you can group these countries together in
            their own category as well. Some countries have literacy rates under
            40%, while a single country (Chad) has a literacy rate below 30%.
            Each of these represents different categories in your line plot. We
            would put ten dots under the category of approximately 100% literacy
            while following the same pattern for other countries throughout the
            world. This shows how useful line plots can be for surveys that
            involve the entire population.
        </p>
        <h2>What's the Difference Between a Line Plot and a Line Graph?</h2>
        <p>
            Line plots and
            <a href="/hotmath/hotmath_help/topics/line-graphs">line graphs</a>
            are quite similar -- but it's important that we don't get these two
            concepts confused. A line graph connects data points with a
            continuous line, while a line plot does not. Line graphs are
            especially useful in helping us visualize changes over time. On the
            other hand, line plots are better suited to continuous data that
            doesn't change over time.
        </p>
        <p>
            For example, a line graph might show us the <i>improvement</i> in
            literacy rates within a particular country over time. The x-axis
            (the horizontal line) might show us dates, such as the 1960s, 1970s,
            1980s, and so on. The y-axis (the vertical line) might show us the
            literacy rates, such as
            <math xmlns="http://www.w3.org/1998/Math/MathML">
                <mrow>
                    <mn>10</mn>
                    <mi>%</mi>
                </mrow>
                <mo>,</mo>
                <mrow>
                    <mn>20</mn>
                    <mi>%</mi>
                </mrow>
                <mo>,</mo>
                <mrow>
                    <mn>30</mn>
                    <mi>%</mi>
                </mrow>
                <mo>,</mo>
            </math>
            and so on. Hopefully, we would see a country improving its literacy
            rate over time -- which means that the line would go up from left to
            right.
        </p>
        <p>
            Both line plots and line graphs have
            <a
                href="/hotmath/hotmath_help/topics/axis-of-symmetry-of-a-parabola"
                >x-axes and y-axes</a
            >, but only line graphs have continuous lines.
        </p>
        <h2>What's the Difference Between Line Plots and Bar Graphs?</h2>
        <p>
            Line plots and
            <a href="/hotmath/hotmath_help/topics/bar-graphs">bar graphs</a> are
            very similar. The only real difference is the way data is displayed
            visually. While line plots use dots to display frequency, bar graphs
            use (you guessed it) bars. Bar charts have the advantage that they
            can more easily represent fractional or other real valued numbers,
            whereas line plots are left only representing whole numbers. So if
            your data only involves whole numbers Line Plots are a great way to
            go.
        </p>
        <h2>Types of Line Plots</h2>
        <p>There are two different types of line plots:</p>
        <div>
            <ol>
                <li><b>Wilkinson Line Plots</b></li>
            </ol>
        </div>
        <p>
            A Wilkinson line plot is the most familiar variety. Like the example
            we looked at earlier, this type uses numbers of dots to represent
            frequency. Sometimes, different colors are used for certain dots to
            represent special characteristics. For example, a red dot might
            represent a bilingual country, while a blue dot might represent a
            country with just one language.
        </p>
        <div>
            <ol>
                <li><b>Cleveland Line Plots</b></li>
            </ol>
        </div>
        <p>
            Cleveland line plots are a little different. Instead of writing out
            each dot, we can simply use the y-axis to show frequencies. For
            example, the y-axis might show a range of 1-30, allowing us to
            quickly see how many countries have a literacy rate of 100% or 50%.
            Many people think that Cleveland line plots are easier to read
            compared to Wilkinson line plots.
        </p>
        <h2>Topics related to the Line Plots</h2>
        <p>
            <a href="/hotmath/hotmath_help/topics/ordered-pair">Ordered Pair</a>
        </p>

        <p>
            <a href="/hotmath/hotmath_help/topics/linear-pair">Linear Pair</a>
        </p>

        <p>
            <a href="/hotmath/hotmath_help/topics/bar-graphs">Bar Graphs</a>
        </p>

        <h2>Flashcards covering the Line Plots</h2>
        <p>
            <a href="/4th_grade_math-flashcards">4th Grade Math Flashcards</a>
        </p>

        <p>
            <a href="/common_core_4th_grade_math-flashcards"
                >Common Core: 4th Grade Math Flashcards</a
            >
        </p>

        <h2>Practice tests covering the Line Plots</h2>
        <p>
            <a href="/common_core_4th_grade_math-practice-tests"
                >Common Core: 4th Grade Math Diagnostic Tests</a
            >
        </p>

        <p>
            <a href="/4th_grade_math-practice-tests"
                >4th Grade Math Practice Tests</a
            >
        </p>

        <h2>A math tutor can help with applying data from line plots</h2>
        <p>
            If your student is struggling with applying data from line plots,
            private math tutoring can help. Working with a 1-on-1 instructor can
            help your student understand the math concepts that are involved in
            how to use line plots -- and more! Contact Varsity Tutors today, and
            we'll team your student up with a qualified educational professional
            whose experience matches up with your student's unique math goals.
        </p>d:T299c, <h1>Line Plots</h1>
        <p>
            As mathematicians, we can calculate all kinds of interesting numbers
            based on the world around us. But how do we communicate these
            numbers to other people? The best way to do this is by expressing
            our numbers in a visual, easy-to-understand format. And when it
            comes to visual tools, line plots represent an excellent option.
            Pretty much anyone can understand what numbers and statistics mean
            with one quick look at a line plot. But how do we build our own line
            plots?
        </p>
        <h2>Line plots: An explanation</h2>
        <p>
            Different mathematicians use different names for line plots, and
            some call them "dot plots." But no matter what we decide to call it,
            a line plot is a type of graph. As the name "dot plot" suggests,
            these graphs display data visually using dots on a line. The number
            of dots corresponds to statistical values.
        </p>
        <p>
            For example, you might ask your friends how many shoes they own.
            This quick survey might provide you with a range of different
            results. Five of your friends might own just one pair, three might
            own two pairs, and two might own five pairs.
        </p>
        <p>
            Each of these values would give us a different number of dots on a
            line graph. We'd get five dots for one pair of shoes, three dots for
            two pairs of shoes, and two dots for five pairs of shoes.
        </p>
        <h2>Building your own dot plot</h2>
        <p>
            Try building your own dot plot by conducting your own quick survey.
            Send out a few text messages and ask your friends how many shoes
            they own.
        </p>
        <p>
            Next, all we need to do is draw a horizontal line with numbers along
            the bottom -- perhaps from 1 to 10.
        </p>
        <p>
            Finally, take your data and write dots above each number based on
            how many of your friends have a certain number of shoes.
        </p>
        <p>It's that easy!</p>
        <h2>Interpreting line plots</h2>
        <p>Consider the following line plot:</p>
        <img
            src="https://www.varsitytutors.com/assets/vt-hotmath-legacy/images/gt/lessons/genericalg1/line_plot.gif"
            alt=""
        />
        <p>
            What does this tell us about the number of students in each
            classroom?
        </p>
        <p>
            We can see that one class has just 26 students, two classes have 27
            students, four classes have 29 students, two classes have 30
            students, one class has 31 students, no classroom has 32 students,
            and one class has 33 students.
        </p>
        <p>
            With a quick glance, we can see that most classes have 29 students.
            We also know that in this survey, classrooms range in size from 26
            students to 33 students. If this data was represented in a
            numerical, non-visual manner, it might have been more difficult for
            us to come to these conclusions.
        </p>
        <h2>When Should We Use Line Plots?</h2>
        <p>
            Line plots are especially useful if your survey size is quite small.
            However, they might also be useful if you're dealing with the
            distribution of data over a small set. They're also an excellent
            choice if you want to draw attention to clusters or gaps in your
            data.
        </p>
        <p>
            However, you can make your line plots as complicated as you like --
            and it can help visualize surveys of the entire planet. As long as
            you group your data into smaller categories, a line plot can handle
            all kinds of data.
        </p>
        <p>
            For example, you could run a survey on literacy rates throughout the
            world. Ten countries have a literacy rate of almost 100%, and you
            can group these together under one category in your line plot.
            However, there are many other countries that have literacy rates
            that are under 50%, and you can group these countries together in
            their own category as well. Some countries have literacy rates under
            40%, while a single country (Chad) has a literacy rate below 30%.
            Each of these represents different categories in your line plot. We
            would put ten dots under the category of approximately 100% literacy
            while following the same pattern for other countries throughout the
            world. This shows how useful line plots can be for surveys that
            involve the entire population.
        </p>
        <h2>What's the Difference Between a Line Plot and a Line Graph?</h2>
        <p>
            Line plots and
            <a href="/hotmath/hotmath_help/topics/line-graphs">line graphs</a>
            are quite similar -- but it's important that we don't get these two
            concepts confused. A line graph connects data points with a
            continuous line, while a line plot does not. Line graphs are
            especially useful in helping us visualize changes over time. On the
            other hand, line plots are better suited to continuous data that
            doesn't change over time.
        </p>
        <p>
            For example, a line graph might show us the <i>improvement</i> in
            literacy rates within a particular country over time. The x-axis
            (the horizontal line) might show us dates, such as the 1960s, 1970s,
            1980s, and so on. The y-axis (the vertical line) might show us the
            literacy rates, such as
            <math xmlns="http://www.w3.org/1998/Math/MathML">
                <mrow>
                    <mn>10</mn>
                    <mi>%</mi>
                </mrow>
                <mo>,</mo>
                <mrow>
                    <mn>20</mn>
                    <mi>%</mi>
                </mrow>
                <mo>,</mo>
                <mrow>
                    <mn>30</mn>
                    <mi>%</mi>
                </mrow>
                <mo>,</mo>
            </math>
            and so on. Hopefully, we would see a country improving its literacy
            rate over time -- which means that the line would go up from left to
            right.
        </p>
        <p>
            Both line plots and line graphs have
            <a
                href="/hotmath/hotmath_help/topics/axis-of-symmetry-of-a-parabola"
                >x-axes and y-axes</a
            >, but only line graphs have continuous lines.
        </p>
        <h2>What's the Difference Between Line Plots and Bar Graphs?</h2>
        <p>
            Line plots and
            <a href="/hotmath/hotmath_help/topics/bar-graphs">bar graphs</a> are
            very similar. The only real difference is the way data is displayed
            visually. While line plots use dots to display frequency, bar graphs
            use (you guessed it) bars. Bar charts have the advantage that they
            can more easily represent fractional or other real valued numbers,
            whereas line plots are left only representing whole numbers. So if
            your data only involves whole numbers Line Plots are a great way to
            go.
        </p>
        <h2>Types of Line Plots</h2>
        <p>There are two different types of line plots:</p>
        <div>
            <ol>
                <li><b>Wilkinson Line Plots</b></li>
            </ol>
        </div>
        <p>
            A Wilkinson line plot is the most familiar variety. Like the example
            we looked at earlier, this type uses numbers of dots to represent
            frequency. Sometimes, different colors are used for certain dots to
            represent special characteristics. For example, a red dot might
            represent a bilingual country, while a blue dot might represent a
            country with just one language.
        </p>
        <div>
            <ol>
                <li><b>Cleveland Line Plots</b></li>
            </ol>
        </div>
        <p>
            Cleveland line plots are a little different. Instead of writing out
            each dot, we can simply use the y-axis to show frequencies. For
            example, the y-axis might show a range of 1-30, allowing us to
            quickly see how many countries have a literacy rate of 100% or 50%.
            Many people think that Cleveland line plots are easier to read
            compared to Wilkinson line plots.
        </p>
        <h2>Topics related to the Line Plots</h2>
        <p>
            <a href="/hotmath/hotmath_help/topics/ordered-pair">Ordered Pair</a>
        </p>

        <p>
            <a href="/hotmath/hotmath_help/topics/linear-pair">Linear Pair</a>
        </p>

        <p>
            <a href="/hotmath/hotmath_help/topics/bar-graphs">Bar Graphs</a>
        </p>

        <h2>Flashcards covering the Line Plots</h2>
        <p>
            <a href="/4th_grade_math-flashcards">4th Grade Math Flashcards</a>
        </p>

        <p>
            <a href="/common_core_4th_grade_math-flashcards"
                >Common Core: 4th Grade Math Flashcards</a
            >
        </p>

        <h2>Practice tests covering the Line Plots</h2>
        <p>
            <a href="/common_core_4th_grade_math-practice-tests"
                >Common Core: 4th Grade Math Diagnostic Tests</a
            >
        </p>

        <p>
            <a href="/4th_grade_math-practice-tests"
                >4th Grade Math Practice Tests</a
            >
        </p>

        <h2>A math tutor can help with applying data from line plots</h2>
        <p>
            If your student is struggling with applying data from line plots,
            private math tutoring can help. Working with a 1-on-1 instructor can
            help your student understand the math concepts that are involved in
            how to use line plots -- and more! Contact Varsity Tutors today, and
            we'll team your student up with a qualified educational professional
            whose experience matches up with your student's unique math goals.
        </p>2:[["$","$L7",null,{"children":["$","$L8",null,{"spaced":false,"sticky":true,"theme":{"backgroundColor":{"hex":"#4a4bb6"},"linkColor":{"hex":"#fff"},"primaryColor":{"hex":"#fff"},"secondaryColor":{"hex":"#1d192c"},"textColor":{"hex":"#fff"}},"children":["$","section",null,{"className":"by9ey42 by9ey40","children":[["$","div",null,{"className":"by9ey46","children":[null,[["$","p","0",{"children":["Become a math whiz with AI Tutoring, Practice Questions & more."]}]],null]}],["$","$L9",null,{"action":"$undefined","ctaText":"Join for Free","href":"/membership/signup?vtintref=/hotmath/hotmath_help/topics/line-plots&subject=","target":"$undefined","themeVersion":false}]]}]}]}],[["$","div",null,{"className":"hidden dark:xl:block container-xl sticky top-header-height z-[9]","children":["$","div",null,{"className":"absolute top-0 right-0 text-sm shadow-md","children":[["$","div",null,{"className":"bg-[#ffd670] py-1 px-12","children":"We’re Open - Call Now!"}],["$","div",null,{"className":"bg-[#007ac0] text-white py-2 px-12 rounded-b","children":[["$","svg",null,{"xmlns":"http://www.w3.org/2000/svg","width":24,"height":24,"fill":"#fff","className":"float-left -ml-8 mt-2","children":[["$","path",null,{"d":"M0 0h24v24H0z","fill":"none"}],["$","path",null,{"d":"M6.62 10.79c1.44 2.83 3.76 5.14 6.59 6.59l2.2-2.2c.27-.27.67-.36 1.02-.24 1.12.37 2.33.57 3.57.57.55 0 1 .45 1 1V20c0 .55-.45 1-1 1-9.39 0-17-7.61-17-17 0-.55.45-1 1-1h3.5c.55 0 1 .45 1 1 0 1.25.2 2.45.57 3.57.11.35.03.74-.25 1.02l-2.2 2.2z"}]]}],["$","div",null,{"children":"Call Now to Set Up Tutoring"}],["$","div",null,{"className":"font-bold","children":"(888) 736-0920"}]]}]]}]}],["$","div",null,{"className":"bg-slate-200 py-8 md:py-12 xl:py-18 flex dark:bg-[#adaead] dark:text-white","children":["$","$La",null,{"className":"mx-auto px-4 text-center","href":"/hotmath","prefetch":false,"children":[["$","span",null,{"className":"text-4xl font-semibold mb-3 block dark:font-normal dark:text-5xl","children":"Hotmath"}],["$","span",null,{"className":"text-2xl block","children":"Math Homework. 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