How do you organize data of students with cell phones that also have MP3 players?. In this lesson you will learn how to construct a two way table by collecting and organizing data from a verbal description. A two-way table shows data that pertain to two different categories. 27. - PowerPoint PPT Presentation
How do you organize data of students with cell phones that also have MP3 players?1In this lesson you will learn how to construct a two way table by collecting and organizing data from a verbal description.2A two-way table shows data that pertain to two different categories.Cell PhoneNo Cell PhoneTotalMP3 PlayerHave cell phone and mp3 playerHave mp3 player onlyTotal with MP3 playerNo MP3 PlayerHave cell phone, but no mp3 playerHave no cell phone or mp3 playerTotal with no MP3 playerTotalTotal with cell phoneTotal with no cell phoneTotal SampledLets ReviewLets ReviewA two way table shows data that pertain to two different categories.This is an example of a two way table that could hold information about the number of students that have either cell phones, mp3 players, both, or none.The headers are on the top and the left. You would place the numbers that represent each scenario in the middle and then total the rows and columns. .327Cell PhoneNo Cell PhoneTotalMP3 Player27627+6 =33No MP3 Player13413+4 = 17Total27+13=406+4=1033+17=40+10=50Lets ReviewA Common MistakeA common mistake is not calculating missing information correctly. Remember that each row will be summed and each column will be summed. The sum of the two rows should be the total as should the sum of the two columns.4Cell PhoneNo Cell PhoneTotalMP3 PlayerNo MP3 PlayerTotalA survey of 8th graders at a middle school found that 73 students own a cell phone and 60 of those students also own an MP3 player. There are 9 students that do not own a cell phone, but own an MP3 player. Eight students do not own either deviceLets ReviewCore LessonWhen given a word problem, you should organize the data that is given in the two-way table. (Read problem). Since 73 students own a cell phone in total, we will put 73 in the total column. 60 of the cell phone owners also own a MP3 player, so we will list the 60 in the cell that corresponds to owning both. 9 students have no cell phone, but have a MP3 player, so we place a 9 in that cell. Lastly, we are told that there are 8 students who dont own either device. We place the 8 in the appropriate cell.
5Cell PhoneNo Cell PhoneTotalMP3 Player60960+9=69No MP3 Player8Total73Lets ReviewCore LessonNow that we have filled in the information that we already know, we can use what we know about two-way tables to complete the rest of the table. The sum of the first row is 69. 6Cell PhoneNo Cell PhoneTotalMP3 Player60969No MP3 Player73-60 =138Total73Lets ReviewCore LessonWe cannot sum the second row until we get a value of the number of students who have a cell phone, but no MP3 player. WE know that the sum of the cell phone owners is 73. We can subtract the 60 from the 73 to get 13 people with a cell phone and no MP3 player.7Cell PhoneNo Cell PhoneTotalMP3 Player60969No MP3 Player13813+8=21Total73Lets ReviewCore LessonNow we can sum the second row to get 21. 8Cell PhoneNo Cell PhoneTotalMP3 Player60969No MP3 Player13821Total739+8=17Lets ReviewCore LessonNext we can sum the 2nd column to get 17 people with no cell phone. 9Cell PhoneNo Cell PhoneTotalMP3 Player60969No MP3 Player13821Total731769+21= 73+17= 90Lets ReviewCore LessonNow we need to confirm that the sum of the sum of the rows is the same as the sum of the sum of the columns. 69 plus 21 is 90 as well as 73 plus 17.10Cell PhoneNo Cell PhoneTotalMP3 Player60969No MP3 Player13821Total731790Lets ReviewCore LessonWe now have a completed two way table from our original verbal description.11In this lesson you have learned to how construct a two way table by collecting and organizing data from a verbal description.12A survey was conducted to see if students get an allowance and if they have to do household chores. Of the 12 students that receive no allowance, 5 of them have no chores. There are 17 students who do chores and receive an allowance, while 6 students get an allowance without doing any chores. Construct a two way table to display this data.Lets ReviewGuided Practice13Observe the students in your class and create a two way table that displays the combinations on hair color and eye color. The hair color categories are black, brown, red, and blond. The eye color categories are brown, blue, hazel, and green. Please note that this table will be bigger than ones in the lesson.Lets ReviewExtension Activities14Make a survey that collects two pieces of categorical data. Ask 10 people and record your data. Use the data to construct a two way table.
(Some possible topics: boys/girls who study more/less than 1 hour a night; 7th graders/8th graers who dress up/ do not dress up for Halloween)Lets ReviewExtension Activities158 people have no dog. Of those 8, 2 have no cat either. There are 4 people with a cat and a dog, while 3 students have a dog and no cat.DogNo DogTotalCatNo CatTotalHow many people were surveyed?Lets ReviewQuick Quiz15 students1625 students were surveyed. 14 students do not participate in sports and 7 do not take a foreign language. 6 student take foreign language and play sports.F.L.No F.L.TotalSportNo SportTotalHow many students take a foreign language and play no sports?Lets ReviewQuick Quiz12 students17