Histograms And Stem And Leaf Plots Pdf


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histograms and stem and leaf plots pdf

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6.4: Stem and Leaf Plots

One simple graph, the stem-and-leaf graph or stemplot , comes from the field of exploratory data analysis. It is a good choice when the data sets are small. To create the plot, divide each observation of data into a stem and a leaf. The leaf consists of a final significant digit.

For example, 23 has stem two and leaf three. The number has stem 43 and leaf two. Likewise, the number 5, has stem and leaf two.

The decimal 9. Write the stems in a vertical line from smallest to largest. Draw a vertical line to the right of the stems. Then write the leaves in increasing order next to their corresponding stem. For Susan Dean's spring pre-calculus class, scores for the first exam were as follows smallest to largest : 33; 42; 49; 49; 53; 55; 55; 61; 63; 67; 68; 68; 69; 69; 72; 73; 74; 78; 80; 83; 88; 88; 88; 90; 92; 94; 94; 94; 94; 96; The stemplot shows that most scores fell in the 60s, 70s, 80s, and 90s.

For the Park City basketball team, scores for the last 30 games were as follows smallest to largest : 32; 32; 33; 34; 38; 40; 42; 42; 43; 44; 46; 47; 47; 48; 48; 48; 49; 50; 50; 51; 52; 52; 52; 53; 54; 56; 57; 57; 60; 61 Construct a stem plot for the data. The stemplot is a quick way to graph data and gives an exact picture of the data. You want to look for an overall pattern and any outliers. An outlier is an observation of data that does not fit the rest of the data.

It is sometimes called an extreme value. When you graph an outlier, it will appear not to fit the pattern of the graph. Some outliers are due to mistakes for example, writing down 50 instead of while others may indicate that something unusual is happening. It takes some background information to explain outliers, so we will cover them in more detail later. The data are the distances in kilometers from a home to local supermarkets.

Create a stemplot using the data: 1. The value Values appear to concentrate at three and four kilometers. The following data show the distances in miles from the homes of off-campus statistics students to the college.

Create a stem plot using the data and identify any outliers:. A side-by-side stem-and-leaf plot allows a comparison of the two data sets in two columns. In a side-by-side stem-and-leaf plot, two sets of leaves share the same stem.

The leaves are to the left and the right of the stems. Table 2. Construct a side-by-side stem-and-leaf plot using this data. The table shows the number of wins and losses the Atlanta Hawks have had in 42 seasons.

Create a side-by-side stem-and-leaf plot of these wins and losses. Another type of graph that is useful for specific data values is a line graph. In the particular line graph shown in Example 2. The frequency points are connected using line segments. In a survey, 40 mothers were asked how many times per week a teenager must be reminded to do his or her chores. The results are shown in Table 2. In a survey, 40 people were asked how many times per year they had their car in the shop for repairs.

Construct a line graph. Bar graphs consist of bars that are separated from each other. The bars can be rectangles or they can be rectangular boxes used in three-dimensional plots , and they can be vertical or horizontal. The bar graph shown in Example 2. By the end of , Facebook had over million users in the United States.

Construct a bar graph using this data. The population in Park City is made up of children, working-age adults, and retirees. Construct a bar graph showing the proportions. The columns in Table 2. Public Schools for the class of , percentages for the Advanced Placement examine population for that class, and percentages for the overall student population. Create a bar graph with the student race or ethnicity qualitative data on the x -axis, and the Advanced Placement examinee population percentages on the y -axis.

Park city is broken down into six voting districts. The table shows the percent of the total registered voter population that lives in each district as well as the percent total of the entire population that lives in each district.

Construct a bar graph that shows the registered voter population by district. As an Amazon Associate we earn from qualifying purchases. Want to cite, share, or modify this book? This book is Creative Commons Attribution License 4.

Skip to Content. Introductory Statistics 2. My highlights. Table of contents. For Susan Dean's spring pre-calculus class, scores for the first exam were as follows smallest to largest : 33; 42; 49; 49; 53; 55; 55; 61; 63; 67; 68; 68; 69; 69; 72; 73; 74; 78; 80; 83; 88; 88; 88; 90; 92; 94; 94; 94; 94; 96; Stem Leaf 3 3 4 2 9 9 5 3 5 5 6 1 3 7 8 8 9 9 7 2 3 4 8 8 0 3 8 8 8 9 0 2 4 4 4 4 6 10 0 Table 2.

The leaves are to the right of the decimal. Create a stem plot using the data and identify any outliers: 0. Adams 61 A. Johnson 56 F. Adams 57 Arthur 51 L. Harrison 55 Ford 61 W.

Roosevelt 42 G. Adams 90 A. Johnson 66 F. Adams 80 Arthur 56 L. Harrison 67 Ford 93 W. Losses Wins Year Losses Wins Year 34 48 — 41 41 — 34 48 — 39 43 — 46 36 — 44 38 — 46 36 — 39 43 — 36 46 — 25 57 — 47 35 — 40 42 — 51 31 — 36 46 — 53 29 — 26 56 — 51 31 — 32 50 — 41 41 — 19 31 — 36 46 — 54 28 — 32 50 — 57 25 — 51 31 — 49 33 — 40 42 — 47 35 — 39 43 — 54 28 — 42 40 — 69 13 — 48 34 — 56 26 — 32 50 — 52 30 — 25 57 — 45 37 — 32 50 — 35 47 — 30 52 — 29 53 — Table 2.

Number of times teenager is reminded Frequency 0 2 1 5 2 8 3 14 4 7 5 4 Table 2. Figure 2. Number of times in shop Frequency 0 7 1 10 2 14 3 9 Table 2. District Registered voter population Overall city population 1 Previous Next. Order a print copy As an Amazon Associate we earn from qualifying purchases. We recommend using a citation tool such as this one.

Stem-and-leaf plots

Navigate through our printable stem-and-leaf plots worksheets to become skilled in analyzing, interpreting, and organizing data on plots. The stem-and-leaf plots provide students a quick review of data distribution, thereby facilitating faster computation of the mean, median, mode, and range of a collection of data. The back-to-back stem-and-leaf plots, on the other hand, simplify the process of comparing two sets of data. Gain adequate practice in creating and interpreting stem and leaf plots with the exercises here. These pdf worksheets are highly recommended for 4th grade through 8th grade students.

Abstract This lesson is designed to introduce students to stem-and-leaf plots. Objectives Upon completion of this lesson, students will: have been introduced to the notion of stem-and-leaf plots. Standards The activities and discussions in this lesson address the following NCTM standards : Data Analysis and Probability Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatterplots Select and use appropriate statistical methods to analyze data find, use, and interpret measures of center and spread, including mean and interquartile range discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatterplots Links to other standards. If this has already been covered, ask the class to recall what was learned about the topics. Objectives Let the students know what they will be doing and learning today.

Information identified as archived is provided for reference, research or recordkeeping purposes. It is not subject to the Government of Canada Web Standards and has not been altered or updated since it was archived. Please contact us to request a format other than those available. A stem and leaf plot, or stem plot, is a technique used to classify either discrete or continuous variables. A stem and leaf plot is used to organize data as they are collected. A stem and leaf plot looks something like a bar graph.


In a stem-and- leaf plot, the data are ordered from least to greatest and organized by place value. In. Looking Ahead Lesson 6, you learned that a histogram is a.


Stem-and-Leaf Plots Worksheets

One simple graph, the stem-and-leaf graph or stemplot , comes from the field of exploratory data analysis. It is a good choice when the data sets are small. To create the plot, divide each observation of data into a stem and a leaf.

Graphic Organizers. Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials. Are you getting the free resources, updates, and special offers we send out every week in our teacher newsletter? Grade Level. Resource Type.

Stem-and-Leaf Plots

In these worksheets, students will learn how to draw stem and leaf plots. They will then use the plots that they have drawn to answer questions. These worksheets explain how to read and interpret simple stem and leaf data tables.

Our printable stem-and-leaf plot worksheets contain a set of data that are to be ordered and to be presented in a stem and leaf plot. The data are to be interpreted and questions based on it are to be answered in the make and interpret plot pages. Stem-and-leaf plots also contain back-to-back plots, rounding data, truncating data and more. These pdf worksheets are recommended for students of grade 4 through grade 8. Our free stem and leaf plots can be accessed instantly. Make a Stem-and-Leaf Plot: Level 1.


Histograms. Stem and leaf plots. Two-way tables. Box plots. Scatterplots. Time-​series plots. In helping students to develop their data analysis skills, it is important.


Histograms are one of the most widely used methods for displaying the observed values for a variable. However, they do take a little bit of effort to draw. Sometimes it can be quite useful to make use of simpler, if less visually appealing, options. One such alternative is the stem and leaf plot. To a first approximation you can think of a stem and leaf plot as a kind of text-based histogram.

Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials. Are you getting the free resources, updates, and special offers we send out every week in our teacher newsletter? Grade Level.

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