Make Frequency Tables. How can you display data in a frequency table?
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1 ? Name 15.1 Essential Question Make Frequency Tables How can you display data in a frequency table? Data Analysis 5.9.A MATHEMATICAL PROCESSES 5.1.B, 5.1.E Frequency is the number of times an event occurs. A frequency table is a table that uses numbers to record data about how often something happens. Unlock the Problem Bart kept a record of the sizes of bags of peanuts he sold at a baseball game. Bags of Peanuts Sold (Sizes) M S XL M XL S L S S L XL XL L XL XL XL S M L L S S XL L S XL M M Make a frequency table of the data. STEP 1: Write the title at the top of the frequency table. STEP 2: List the sizes of bags of peanuts in the first column. STEP 3: Record the frequency of each size of bag of peanuts sold in the frequency column. Size Frequency If you want to know quickly how many large bags of peanuts Bart sold, would you use his record or would you use the frequency table? Explain. Math Talk Mathematical Processes Module
2 Try This! Make a frequency table. A librarian records the types of books students checked out one morning. Make a frequency table of the data. Write a title for the frequency table. Books Checked Out adventure mystery adventure biography adventure mystery adventure biography biography adventure mystery adventure mystery adventure biography adventure List the types of books in the first column. Record the frequency of each type of book in the second column. Types of Books Frequency Share and Show Len records the methods of transportation his classmates take to school. Use the data for What is a good title for a frequency table of the data? What will be in the first column of the frequency table? What will be in the second column of the frequency table? 2. Make a frequency table. Transportation to School bus walk car walk walk bus bus bus walk car bus car walk bus bus bus car walk car walk bus Math Talk Mathematical Processes Explain how you found the frequency of each method of transportation. 546
3 Name Problem Solving A swimming coach records the events swimmers on a team are competing in. Use the data for Make a frequency table of the data. Explain how you determine what to put in the first column of the table. 4. Multi-Step How can you prove that the total number of frequencies in your table is correct? Swimming Events freestyle backstroke butterfly backstroke breaststroke freestyle freestyle backstroke freestyle breaststroke butterfly backstroke backstroke freestyle butterfly freestyle backstroke butterfly Problem Solving A restaurant owner recorded salsa flavors that customers asked for at dinner. Use the data for 5 7. Salsa Flavors hot mild chunky hot mild mild spicy hot hot spicy spicy chunky spicy chunky chunky spicy hot spicy hot hot 5. Representations Make a frequency table of the data. Write Math Show Your Work 6. Describe how the frequency table will change if 4 customers switch from chunky salsa to spicy salsa and 3 customers switch from mild salsa to hot salsa. 7. Multi-Step Think of a topic for a frequency table. Record a set of data for the topic. Use the data to make a frequency table. Module 15 Lesson 1 547
4 Daily Assessment Task Mathematical Processes Fill in the bubble completely to show your answer. 8. Marsha records the breeds of dogs in a dog show. Then she makes a frequency table to show the data. How many different breeds of dogs will be in the frequency table? A 2 C 3 B 12 D 4 Breeds of Dogs beagle pug bulldog pug beagle bulldog poodle bulldog bulldog poodle beagle bulldog Students place an order for different sizes of school sweatshirts. They make a frequency table to show the data. Use the frequency table for Students order sizes large, small, large, large, medium, small, large, small, large, medium, and small. What frequency should be in the row for medium in the frequency table? A 5 C 4 B 2 D 3 Sweatshirt Order Size Frequency Small? Medium? Large? 10. Multi-Step Students pay $14 for size small sweatshirts and $16 for size large. How much do they pay for the size small and large sweatshirts they order? A $56 C $80 B $136 D $30 TEXAS Test Prep 11. Paula recorded the colors of all her shoes. 548 Shoe Colors blue black red blue blue black blue white red black red purple white blue red She makes a frequency table of the data. What is the frequency of red shoes? A 3 C 15 B 4 D 2
5 Homework and Practice Name Data Analysis 5.9.A MATHEMATICAL PROCESSES 5.1.B, 5.1.E 15.1 Make Frequency Tables Patricia records the types of penguins she sees in the Antarctic exhibit at the zoo. Use the data for What is a good title for a frequency table of the data? What will be in the first column of the frequency table? Antarctic Penguins King Chinstrap Gentoo Chinstrap King Macaroni Rockhopper Chinstrap King Gentoo Gentoo Gentoo Macaroni King Chinstrap Rockhopper Rockhopper Chinstrap What will be in the second column of the frequency table? 2. Complete the frequency table at the right. Problem Solving Mr. Rexford s students recorded the polygons in a sculpture at the modern art museum. Use the data for Complete the frequency table of the data. Polygons triangle rectangle hexagon rectangle rectangle hexagon hexagon pentagon hexagon triangle hexagon triangle pentagon rectangle rectangle 4. Which polygon had the greatest frequency? Which polygon had the least frequency? Module 15 Lesson 1 549
6 Lesson Check TEXAS Test Prep Fill in the bubble completely to show your answer. 5. Milo records the types of shells he collects on the Texas coast. Then he makes a frequency table to show the data. How many different types of shells will be in the frequency table? A 20 C 5 B 4 D 3 Shells Collected clam clam conch whelk cockle cockle clam scallop cockle clam conch scallop scallop cockle clam scallop clam scallop whelk conch 6. Carmen recorded the types of vehicles she saw while looking out the window of her father s car. She makes a frequency table of the data. What is the frequency of motorcycles? A 5 C 7 B 6 D 3 Vehicles motorcycle truck sports car truck motorcycle truck sports car motorcycle SUV motorcycle truck SUV SUV SUV sports car SUV truck motorcycle motorcycle truck SUV Josef has a pottery booth at the craft fair. He makes a frequency table to record the types of pottery sold one day. Use the frequency table for 7 8. Pottery Sold Type Frequency Bowl 12 Mug? Plate 5 Vase 8 7. Multi-Step The number of mugs Josef sold is one fourth of the combined number of bowls and vases sold. What frequency should be in the row for mug in the frequency table? 550 A 3 B 5 C 2 D Multi-Step The price of a plate is $6 and the price of a mug is $5. How much did Josef collect from the plates and the mugs he sold? A $55 B $25 C $30 D $11
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