Activity 7B: Data Analysis Category 4: Data Analysis and Personal Financial Literacy Activity 7B: Displaying Data in a Dot Plot, Stem-and-Leaf Plot, and Scatter Plot Objective: The students will summarize data, solve problems, and create dot plots, stem-and-leaf plots, and scatter plots Procedure: Introduce the students to a dot plot. When you want to show the spread of the data or how it is grouped instead of comparing the data, you use a dot plot. It uses dots to record each piece of data above a number line or categories. This dot plot shows the number of pets owned by each student in a fifth grade class. 0 1 2 3 4 5 6 7 8 9 10 Pets Owned By Students You can see that most students have 0, 1, or 2 pets. There are also numbers that don’t have dots over them. There are no students who have 5 or 6 pets. The most pets owned by any students is 7. The students will need to do other example problems with dot plots that use whole numbers, decimals, and fractions. Include both one-step and two-step problems. © C & C Educational Materials, all rights reserved 233 A stem-and-leaf plot gives a quick way of checking how many pieces of data fall in various ranges. They also display the value of every piece of data. Since a stem-and-leaf plot can display both whole numbers and decimals, every stem-and-leaf plot must have a key. This stem and leaf plot shows the grades of students on a test. Stem 6 7 8 9 10 8 1 2 1 0 Leaf 8 9 2 2 6 8 3 4 4 6 8 8 9 4 4 5 7 6 8 means a grade of 68 The data shows that 3 students failed the test. One student made a 100. Most students passed with an 80 or above. Five students scored above a 91. The most students scored above an 81. Eight students scored between 82 and 89. The students will need to do other example problems with stem-and-leaf plots that use whole numbers and decimals. Include both one-step and two-step problems. Introduce the students to a scatter plot. A scatter plot graphs two sets of data as corresponding numbers represented as ordered pairs. You then decide if the data of ordered pairs are related by how close they come to forming a straight line or the line of best fit (sometimes called a trend line). You then decide if the data of ordered pairs are related by how close they come to forming a straight line or the line of best fit (sometimes called a trend line). A group of students in the fourth grade class kept track of the number of hours they spent studying for a test and the grade on each test. The table shows the results. Study Time (in hours) Grade 234 1.5 60 3 85 2.5 80 2 70 4 90 1 60 3.5 85 5 100 © C & C Educational Materials, all rights reserved The ordered pairs are shown on the scatter plot. 100 90 80 Grade 70 60 50 40 30 20 10 0 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 Study Time (hr.) In analyzing the data on scatter plots, you look for either a rising straight line or a falling straight line to show the correlation. A horizontal straight line shows no correlation between the data. This data is a rising straight line. This indicates that there is a strong correlation between the time spent studying and the test grade. The more hours spent studying the better the test grade. The students will need to do other example problems with scatter plots. Include both one-step and two-step problems. © C & C Educational Materials, all rights reserved 235
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