Notes, Practice Problem and Task Cards Created by Common Core Carrie This product includes a page of notes that students can use to create their stem and leaf plots. The notes include step by step instructions that can be referenced as students study stem and leaf plots. Students can glue the notes directly into their notebooks. In addition to the notes, there is a guided practice problem on a back to back stem and leaf plot that can be glued into the notebook as well. Included with the notes and practice problem, there is a station activity with 24 task cards about stem and leaf plots. Students are asked to create stem and leaf plots, calculate the measures of central tendency and to identify the sample size. Some questions are open ended asking students to analyze the data and to make some conclusions. Students are asked to identify outliers and to describe what would happen to the measures of central tendency if the outlier was removed. The last four cards ask students to create their own stem and leaf plot, determine the measures of central tendency, determine which measure best describes the data and to list other possible displays for the data. An answer document is provided for students to record their answers. Directions: Cut along the dotted lines and glue the stem and leaf plot notes in your notebook. Stem and Leaf Plot A stem and leaf plot (also known as stem plot) displays data that shows the distribution of values in a data set. A stem and leaf plot allows you to see individual values in a data set. Stem Leaves 0 5 1 2 3 2 4 4 3 0 0 4 6 8 5 9 6 1 3 5 7 0 1 1 5 Key 5 6 5 means 65 4 7 7 Creating a Stem and Leaf Plot To make a stem and leaf plot, examine all of your data values. The ones digits will make up your leaves. The stem will contain your tens digits or possibly something larger. Step 1: Write a vertical list of the tens digits (or larger) in order from least to greatest. Draw a line to the right of these numbers. All of these numbers will be the stem. Step 2: The leaves will represent all of your ones digits. Next to the appropriate stem value, write the ones digit. For example, if your value was 65. The stem will have the number 6 and your leaf will have the number 5. Step 3: After you have completed listing all of the leaves, rewrite the stem and leaf plot listing all of the ones digits in order from least to greatest. Step 4: Create a key for your stem and leaf plot. If you had the following values in the stem and leaf plot above, a possible key would be 6 5 = 65 Note: If you had values such as 99, 120, 150, 163, 114, 139, your stem would include 9, 10, 11, 12, 13, 14, 15, 16 and so on. The numbers listed in the stem and leaf plot are grouped in intervals. If you look at the stem plot above, numbers are listed 0-9, 10-19, 20-29, 30-39, etc. Directions: Cut along the dotted lines and glue the practice problem in your notebook. Stem and Leaf Plot Practice Listed below, are the mile times (in seconds) for the top ten 7th grade girls and boys at Franklin Middle School. Create a back to back stem and leaf plot of the data. Girls 417, 417, 401, 403, 404, 397, 409 357, 360, 366 Girls Boys 356, 361, 383, 362, 366, 370, 371, 377, 380, 381 7th Grade Students Mile Times Boys Key means Determine and calculate all of the measures of central tendency for this data. Girls Mean: Median: Mode: Boys Mean: Median: Mode: Directions: Cut along the dotted lines and glue the practice problem in your notebook. Stem and Leaf Plot Practice – Answer Key Listed below, are the mile times (in seconds) for the top ten 7th grade girls and boys at Franklin Middle School. Create a back to back stem and leaf plot of the data. Boys 356, 361, 383, 362, 366, 370, 371, 377, 380, 381 Girls 417, 417, 401, 403, 404, 397, 409 357, 360, 366 7th Grade Students Mile Times Girls Boys 7 35 6 6 9 4 Possible Key 35 0 36 1 2 6 37 0 1 7 38 0 1 3 7 39 3 1 40 7 7 41 42 7 means 357 seconds 43 Determine and calculate all of the measures of central tendency for this data. Girls Mean: 393.1 Median: 402 Mode: 417 Boys Mean: 370.7 Median: 370.5 Mode: No Mode Stem and Leaf Plot 1.) Create a stem and leaf plot given the following values. 17, 25, 34, 9, 5, 41, 33, 51, 71, 4, 11, 1, 76, 65, 60, 30, 33, 17, 58, 6 Stem and Leaf Plot 3.) If these values were obtained from a survey, how many people participated? Stem and Leaf Plot 2.) Determine and calculate all of the measures of central tendency for this data. Mean: Median: Mode: Range: Stem and Leaf Plot 4.) On the stem and leaf plot, what does the stem represent? What do the leaves represent? Stem and Leaf Plot Stem and Leaf Plot 5.) Your classmate was 6.) Discuss and explain absent. Explain how you would calculate the mean of data displayed on a stem and leaf plot. Stem and Leaf Plot 7.) What is the purpose of a stem and leaf plot? What other data displays are similar to a stem and leaf plot? an outlier. What does an outlier do to a set of data? Stem and Leaf Plot 8.) Another one of your classmates was absent. Explain how you would calculate the range and median of data displayed on a stem and leaf plot. Stem and Leaf Plot 9.) Mr. Fibonacci’s Quiz Scores 0 How many students took the quiz? 1 2 10.) How many students scored 70 or above? Key 3 4 Stem and Leaf Plot 8 5 2 means 85% quiz score 5 6 3 5 7 7 3 3 5 7 9 8 0 3 5 7 8 9 0 0 0 1 5 10 0 Stem and Leaf Plot 11.) Were there any outliers in the set of data? What are some possible reasons for the outlier? Stem and Leaf Plot 12.) What is the mean and median of the data? If you remove the outlier, what is the mean and median? Stem and Leaf Plot 13.) Magazines Sold Per Student 0 0 0 0 1 1 1 5 8 9 2 0 2 5 8 9 3 0 3 3 4 2 3 5 5 0 1 1 6 1 3 4 5 7 0 5 8 1 9 0 2 2 4 10 1 5 Key 5 0 means 50 magazines sold Stem and Leaf Plot 15.) Determine and Stem and Leaf Plot 13.) How many students were asked to sell magazines? 14.) What is the interval of possible magazines sold for the 5 stem? What is the interval of possible magazines sold for the 0 stem? Stem and Leaf Plot 16.) As you look at this calculate all of the measures of central tendency for this data. data, what conclusions can you make about the results? Mean: Median: Mode: Range: Write two statements about the data. Stem and Leaf Plot Stem and Leaf Plot Travel Times to School (minutes) Class A 5 Key 2 5 Class B 0 2 5 5 7 9 1 0 0 1 3 5 1 1 2 7 7 5 2 0 8 5 0 3 0 5 5 5 4 5 1 0 5 3 0 6 7 means 25 minutes to school Stem and Leaf Plot 19.) Which measure of central tendency would best describe the data? 17. and 18.) Determine and calculate all of the measures of central tendency for Class A and Class B. Mean: Median: Mode: Range: Stem and Leaf Plot 20.) What can you conclude about the data provided for Class A and Class B? Stem and Leaf Plot 21.) Create your own real-world data for a stem and leaf plot. Think of some data in your own life. Use 10-20 pieces of data to make a stem and leaf plot. Stem and Leaf Plot 23.) Which measure of central tendency would best describe the data? Stem and Leaf Plot 22.) Determine and calculate all of the measures of central tendency for this data. Mean: Median: Mode: Range: Stem and Leaf Plot 24.) What are some other ways you could display this data? Thank you for purchasing this product!!! If you thought this was a quality activity you would use in your classroom, please consider following me on TpT. I appreciate your feedback! By leaving feedback, you can earn TpT credits for future TpT purchases. http://www.teacherspayteachers.com/Store/Common-Core-Carrie If you have any questions, please send me an email at [email protected] Copyright © 2015 Carrie Clausing, Common Core Carrie This resource was created by Carrie Clausing and must be used by the original purchaser for his/her classroom. All rights reserved. It may be printed or photocopied but may not be reproduced, sold, transmitted, or put on the internet without written permission from the author. Additional licenses are available at a discounted price. Credits: Font, Frame and Background provided by Lovin Lit http://www.teacherspayteachers.com/Store/Lovin-Lit Clover provided by http://www.mycutegraphics.com Doodle Font 2 provided by https://www.teacherspayteachers.com/Store/Mrs-Fun Trees provided by https://www.teacherspayteachers.com/Store/The-Libraryfox Stem and Leaf Plot Station Activity Name: Hour: Directions: Read each task card and record your answers in the boxes below. 1.) 2.) 3.) 4.) Mean: Median: Mode: Range: 5.) 6.) 7.) 8.) 9.) 10.) 11.) 12.) 13.) 14.) 15.) Magazines Sold 16.) Mean: Median: Mode: Range: 17.) Class A Mean: Median: Mode: Range: 21.) 18.) Class B 19.) 20.) 23.) 24.) Mean: Median: Mode: Range: 22.) Evaluate yourself! How well do you understand stem and leaf plots? Stem and Leaf Plot Station Activity 1.) Name: Hour: KEY 2.) 3.) Mean: 32.35 Median: 31.5 Mode: 17 and 33 Range: 76 -1 = 75 A total of 20 people participated. 5.) In order to calculate the mean, add up all of the numbers and divide by the total. 6.) An outlier is one or more values that lie outside of the set of data. An outlier can skew the data. 7.) A stem and leaf plot 8.) The range is the lowest is a way to display the shape of the data as well as provide the actual numerical values. Other display: Histogram to highest values in a data set. The range can also be computed by finding the difference of the two. The median is the middle value in an ordered set of data. 9.) A total of 20 students took the quiz. 10.) The number of students that scored 70% and above is 16. 11.) 12.) 0 1 4 5 1 1 7 7 2 5 3 0 3 3 4 1 5 1 8 6 0 5 7 1 6 6 4 9 4.) The leaves represent the ones digit of the numbers. The stem can represent the tens digit or higher. 8 9 Yes, one student scored a 42 on the quiz. Possible reasons for this might include the student had a bad day, one problem through off the quiz, the student did not understand the material, the student had been absent, etc. Mean = 79.65 Median = 81.5 After removing the outlier (42) Mean ≈ 81.63 Median = 83 13.) A total of 35 students were asked to sell magazines. 14.) The interval is 15.) Magazines Sold 50-59 for the 5 stem. Mean: ≈ 46 The interval is 0-9 Median: 43 for the 0 stem. Mode: 0 Range: 0 - 105 16.) Possible answers: 17.) 18.) 19.) Answers will vary: 20.) Possible answers: The data has very different travel times to school. Perhaps, one class is located in a rural area and one is located in the City. Some students might have long bus rides while other students walk to school. 24.) Class A Class B Mean: 43.4 Median: 45 Mode: 45 Range: 25 – 63 or 38 Mean: 13.4 Median: 11 Mode: 5, 10 and 21 Range: 2 – 30 or 28 There are no major outliers with either class. The mean seems to be a good measure for each class. In class A, the mean, median and mode are all pretty close to each other. 21.) 22.) 23.) Student created problems – answers will vary. Student created problems – answers will vary. Student created problems – answers will vary. Evaluate yourself! How well do you understand stem and leaf plots? Of the 35 students asked to sell magazines, 32 sold at least one magazine. Nine students sold more than 70 magazines.. The mean amount of magazines sold was approximately 46. Student created problems – answers will vary.
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