16.1. Make Dot Plots. Unlock the Problem. Math Talk. Essential Question. Name. Weights of Bags of Apples (lb) Module

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1 ? Name 16.1 Essential Question Make Dot Plots How can you display data on a dot plot? Data Analysis 5.9.A MATHEMATICAL PROCESSES 5.1.A, 5.1.D, 5.1.E A dot plot is a graph that shows frequency of data along a number line. Unlock the Problem Mia recorded the weight of each bag of apples people picked at an apple orchard. Weights of Bags of Apples (lb) 1_ 1 1_ 3 1_ Make a dot plot of the data _ 3 1 1_ STEP 1 List the data in order from least to greatest. STEP Draw a number line that includes all the numbers on your list. STEP 3 Mark a dot above each number as many times at it occurs on your list. The number 1 occurs times, so mark dots above Math Talk Mathematical Processes Weights of Bags of Apples (lb) Describe what you observe about the data more easily in the dot plot than in Mia s record. Module

2 Try This! Make a dot plot using decimal data. Mike is practicing for a swim meet. His practice times in seconds are 6.5, 63.0, 6.75, 63.0, 63.0, 6.5, 6.5, 6.75, 63.0, 6.0, 6.75, 6.5, 63.0, and 6.5. Make a dot plot of the data. List the data in order from least to greatest. Draw a number line that includes all the numbers on your list. Plot the data Mike s Practice Times (sec) Explain how you can determine if the dot plot correctly shows the data. Share and Show Ana measures the heights of sunflowers in her garden. Use the data for Write the data in order from least to greatest. What number will the number line in a dot plot of the data begin with? _ What number will it end with? _ How many dots will be on the dot plot? _ Heights of Sunflowers (ft) Complete the dot plot of the data Heights of Sunflowers (ft) Math Talk Mathematical Processes Explain why there is not a dot above every number on your dot plot.

3 Name Problem Solving Lily is making a beaded necklace. She makes a list of beads she needs and the mass of each bead. Use the list for Explain how to determine what numbers to put on the number line for a dot plot of the data. Mass of Beads (g) _ 5 g 1_ 5 g 3_ 5 g 3_ 5 g _ 5 g _ 5 g 4_ 5 g 3_ 5 g 4_ 5 g 1_ 5 g 1_ 5 g _ 5 g 4. Multi-Step Make a dot plot of the data. Mass of Beads (g) Problem Solving Jeanette kept a record of the distances she jumped practicing the long jump. She made a dot plot of the data. Use the record and the dot plot for Multi-Step Jeanette made more than one error on the dot plot. Describe and correct the errors. Long Jump (m) Reasoning If Jeanette jumped each distance shown on the number line an equal number of times, what would the dot plot look like? Long Jump (m) Module 16 Lesson 1 573

4 Daily Assessment Task Mathematical Processes The table shows the speeds of ants that competed in a go-cart race. Use the data for 7 9. Fill in the bubble completely to show your answer. Speeds (Miles per Hour) You are making a dot plot to show the data. Which numbers will you put on the number line for the dot plot? A 6.5, 6.6, 6.7, 6.9, 7.0, 7.1 B 6.7, 6., 6.9, 7.0, 7.1, 7. C 6.6, 6.7, 6., 6.9, 7.0, 7.1 D 6.5, 6.6, 6.7, 6., 6.9, 7.0. How many dots will you mark above 7.1? A 4 C 3 B D 1 9. Multi-Step The go-cart race officials realize that 3 ants in the race should be disqualified. What happens to the dot plot if 3 of the ants with a time of 6. miles per hour are removed? A The tallest stack of dots will be above 7.1. B The tallest stack of dots will be above 6.6. C The number of speeds plotted on the dot plot will change to 15. D The dot plot remains the same. TEXAS Test Prep 10. Sandy has 1 recipes for trail mix. The amount of peanuts in each recipe in cups is 5_, 3_, 3_, 7_, 7_, 5_, 3_, 3_, 7_, 7_, 5_, and 5_. Sandy makes a dot plot of the data. Which numbers will she put on the number line? 574 A B 3, 4, 5, 6 3, 4, 6, 7 C D 4, 5, 6, 7 3, 4, 5, 6, 7

5 Homework and Practice Name Data Analysis 5.9.A MATHEMATICAL PROCESSES 5.1.A, 5.1.D, 5.1.E 16.1 Make Dot Plots Mrs. O Malley makes a list to show the miles each dance student travels to the practice center. Use the list for What is the least distance traveled? What is the greatest distance traveled? Distance (miles) 1 3 1_ 1_ 1_ 1 1_ 1 1_ 1_ 3 1 1_. Make a dot plot of the data Distance (miles) Problem Solving Colton has a list of the length of each song in his favorites playlist. He makes a dot plot of the data. Use the list and the dot plot for Colton counts the number of dots in his dot plot and the data in his list and finds that the numbers are not equal. Explain Colton s error and how he can fix it. Length of Songs (minutes) Colton deletes one song with a length of 3.5 minutes from his playlist and adds one song with a length of 4.0 minutes. How will the dot plot of the data change? Length of Songs (minutes) Module 16 Lesson 1 575

6 Lesson Check TEXAS Test Prep Fill in the bubble completely to show your answer. 5. The heights of the girls in Leila s class to the nearest 1_ inch are: 561_, 57, 56 1_, 5, 5, 571_, 571_, 57, 51_, and 57. Leila makes a dot plot of the data. How many different heights will be included on the number line? A 10 C 3 B 5 D 9 6. A geologist measures the mass of some rocks to the nearest tenth of a gram and makes a dot plot of the data. The masses are: 5.3, 5.5, 5.6, 5.4, 5.4, 5.3, 5., 5.7, 5., 5.5, 5.5, and 5.3 grams. She lists two numbers on the number line. How many more numbers will she put on the number line? A C 4 B 3 D 5 A paleontologist measures the lengths of several fossils. The table shows the lengths to the nearest tenth of a centimeter. Use the data for Lengths (cm) Which numbers will you put on the number line for the dot plot? A 7., 7.9,.0,.1,. B 7.9, 7.,.1,., 7. C 7.9,.1,.,.3,.4 D 7., 7.9,.1,.,.3. Which number will not have any dots marked above? A 7. B.0 C.1 D. 9. Multi-Step What is the difference between the total number of dots and the number of dots above the number with the most dots? A 10 B Multi-Step The paleontologist measures the fossils again and finds two errors. Two fossils with a length of 7.9 centimeters instead measure.1 and. centimeters. Which two numbers will have the same number of dots? C A 7. and D 14 B.0 and. C 7. and.1 D 7.9 and.1