Range as a Measure of Variation Lesson 4

Range as a Measure of Variation Lesson 4 1

Warm Up OBJECTIVE: SWBAT distinguish between measures of center and measures of variation and use range as a measure of variation to describe data distributions. Language Objective: SWBAT explain why the range is a useful tool for analyzing data. Ten students decide to have a pizza party and each is asked to bring his or her favorite pizza. The amount paid (in dollars) for each pizza is shown in the line plot below. 1) What is the mean price paid for pizza? $12. 40 2) Two more students show up for the party and they have contributed no pizza. What is the mean of the data now? $10. 33 Challenge: How many more students without pizza would have to show up to bring the mean price below $8. 00? : 4 students Scaffolding 2 Agenda

Launch – Review Turn and Talk (30 sec) When we analyze data, what are we looking for? Median Center Mean Today! number of toppings students like Spread (Measure of Variation) Range Interquartile Range Mean Absolute Deviation Shape Agenda 3

Launch: Packing a Suitcase Whole Class Humberto is going to Massachusetts for vacation. According to the weekly forecast, while he is there the median temperature will be 74° and the mean temperature will be 67°. Jim is going to California for vacation. According to the weekly forecast, while he is there the median temperature will be 66° and the mean temperature will be 64°. Agenda 4

Launch Think-Pair-Share Median: 74° Mean: 67° Median: 66° Mean: 64° What type of clothing should Humberto and Jim pack in their suitcases? Agenda 5

Launch Turn-and-talk Weekly Weather Forecast (in °F) Boston Mon. Tue. Wed. Thur. Fri. Sat. Sun. 46 49 74 74 67 78 83 Mon. Tue. Wed. Thur. Fri. Sat. Sun. 60 66 66 67 59 63 66 San Francisco After seeing the forecast, would you suggest that Humberto or Jim add or remove anything from their suitcases? Use evidence from the weather forecast to support your answer. Agenda 6

Launch Turn-and-talk The range in temperature is very different for the two cities. What does range mean? Agenda 7

Launch Vocabulary What is the definition of range? Examples of data sets with a Narrow Range: • Milk prices • Age of 6 th graders The range is the difference between the least value and the greatest value in a set of data. Range = largest value (maximum) – smallest value (minimum) 17 – 6 = 11 range 15 6 8 17 12 9 Examples of data sets with a Wide Range: • House prices • Age of teachers 13 Agenda 8

Launch Boston Notes Weekly Weather Forecast (Daily High Temperatures) Monday Tuesday 46 49 Weds Thurs Friday Sat Sunday 74 74 67 78 83 Boston: 83 – 46 = 37° San Francisco Monday Tuesday 60 66 Weds Thurs Friday Sat Sunday 66 67 59 63 66 SF: 67 – 59 = 8° What is the range of temperatures in Boston and San Francisco? Agenda 9

Launch Median: 66° Mean: 64° Range: 8° Think-Pair-Share Median: 74° Mean: 67° Range: 37° A measure of center (median and mean) uses one number to summarize or represent a set of data. What is the purpose of this measure of variation (range)? Agenda 10

Explore – Part 1 – (5 Min) Work independently and check in with a partner to complete your class work. 1 -Worksheet 2 -Share Out Click on the timer! In 5 minutes you will be asked to stop and share your answers! Agenda 11

Explore – Complete Front of Worksheet Part 1 – (5 Min) Agenda 12

Explore – Student Share Out Part 2 – (10 Min) Students share out work. Classwork Questions Agenda 13

Explore – Sharing Question #1 A = $4. 70 $5. 29 $4. 99 $3. 79 $0. 59 $0. 95 Based on the pictures, what is the range of fruit prices? Agenda 14

Explore – Sharing Question #2 A ≈ 11 inches Based on the bar graph, approximately what was the range of precipitation in Long Beach in 2011? Agenda 15

Explore – Sharing Question #3 Based on the line plot, what is the range of the number of children in a household? A = 7 children Agenda 16

Explore – Sharing Question #4 A = 19 inches (height) A = 19 inches (arm span) Based on the table, what is the range of heights? What is the range of arm spans? Agenda 17

Explore – Sharing Question #5 Based on the table, what is the range of the number of pets? A = 21 pets Agenda 18

Practice – Create Your Own Data Sets (10 Min) Students create their own data sets based on given characteristics. Practice Agenda 19

Summary – Preview When we analyze data, what are we looking for? Median Center Mean Range number of toppings students like Spread (Measure of Variation) Tomorrow! Interquartile Range Mean Absolute Deviation Shape Agenda 20