1. CONFIDENTIAL 1 FREQUENCY TABLES AND LINE GRAPHS

2. 2 FREQUENCY TABLES

3. 3 Review Arrange the following numbers in ascending order: a) 145,140,150,149,142,147,141,146,151,148 Ans: 140, 141,142,145,146,147,148,149,150,151 Arrange the following numbers in descending order: a) 90,75,80,65,78,55,56,77,86,68,74,79,91 Ans: 91,90,86,80,79,78,77,75,74,68,65,56,55

4. CONFIDENTIAL 4 FREQUENCY TABLES A frequency table is a table that lists each item in a data set with the number of times the item occurs.

5. CONFIDENTIAL 5 Frequency tables We use tally marks to represent the number of repeated items. Tally mark is denoted by a vertical line For example: 3 = and 5 =

6. CONFIDENTIAL 6 Frequency tables square trianglecircle trianglesquare circle squareTriangles Shapes TallyNumber Triangle III 3 Square IIII 4 Circle II 2 The frequency table is:

7. CONFIDENTIAL 7 Frequency tables ∆ ○⌂ ⌂ ∆□ ∆○ ∆ ⌂ ○∆ ⌂○ □∆ ⌂□ ∆□○ ⌂ ○∆ ⌂ □ □∆ ○○□ ∆ ⌂ □ □ □ ⌂ ⌂○ □ ShapesTallyfrequency CircleIIII 9 pentagonIIII 10 SquareIIII IIII I11 TriangleIIII 10 EXAMPLE: Total 40

8. CONFIDENTIAL 8 Now your turn!!! The salary of 24 people in my neighbourhood (in $ thousands): 25 26 30 25 26 28 28 28 28 25 25 30 30 25 30 30 28 25 30 27 30 29 29 28 Using tally marks, make a frequency distribution table.

9. CONFIDENTIAL 9 Answer Salary (dollar Thousands) TallyNumber 25IIII I6 26II2 27I1 28IIII I6 29II2 30IIII II7

10. CONFIDENTIAL 10 More Problems The following table shows the number of TV’s sold by a shopkeeper during a week. Prepare a frequency table. Friday Thursday Wednesday Tuesday Monday

11. CONFIDENTIAL 11 ANSWERS DAYTALLYNUMBER MONDAYIIII I6 TUESDAYIIII II7 WEDNESDAYIIII4 THURSDAYIIII5 FRIDAYIIII5

12. CONFIDENTIAL 12 Have a break!!!

13. CONFIDENTIAL 13 LINE GRAPHS

14. CONFIDENTIAL 14 Line Graphs A line graph uses a series of line segment to show changes in data.

15. CONFIDENTIAL 15 Making a Line graph Temperatures through out the day TimeTemperature 8 A.M50 F 10 A.M60 F 12 P.M70 F 2 P.M80 F 4 P.M75 F 6 P.M60 F 8 P.M55 F TIME OF DAY 8 AM10AM12PM2 PM4 PM 8 PM6 PM 50 55 60 65 70 75 80 TEMPERATURETEMPERATURE

16. CONFIDENTIAL 16 More Examples Convert the frequency table into a line graph: FruitNumbers Apple9 Orange4 Mango15 Pear13 Fruits AppleOrangeMangoPear 5 7 9 11 13 15 NUMBERSNUMBERS

17. CONFIDENTIAL 17 Solve the puzzle http://www.thekidzpage.com/onlinejigsawpuzzles/kids-jigsaw- puzzles/12-piece-jigsaw/12-27-06-puppydog.html

18. CONFIDENTIAL 18 Now your turn SnackNumbers Sandwich15 Chips26 Samosa15 Cake7 Convert the given frequency table into line graph

19. CONFIDENTIAL 19 Answers Sand wich ChipsSamosaCake 5 10 15 20 25 30 SNACKS NUMBERSNUMBERS

20. CONFIDENTIAL 20 More practice problems Prepare a frequency table and then draw a line graph with this observations: 145, 150, 142, 144, 147, 150, 148,147,149,151, 149, 144, 150, 146,148,150,149,144, 151, 148,147,146, 151,149,150,140,146,147,150,151

21. CONFIDENTIAL 21 ANSWER-FREQUENCY TABLE HEIGHT140142144145146147148149150151TOTAL TALLYIIIIII IIIIIIIIIIIIIII IIIII STUDENTS113134346430

22. CONFIDENTIAL 22 Answer-Line Graphs 140142144145146147148149150151 1 2 3 4 5 6 7 8 9 height STUDENTSSTUDENTS

23. CONFIDENTIAL 23 Assignment The following table gives birth-days of 40 boys in a class. Illustrate the data by a line graph. DayssundaymondayTuesdayWednesdayThursdayFridaySaturday Numb er of boys 67381132

24. CONFIDENTIAL 24 ANSWER SundayMondayTuesdayWednesdayThursdayFridaySaturday DAYS NUMBEROFBOYSNUMBEROFBOYS 1 3 5 7 9 11

25. CONFIDENTIAL 25 Review A frequency table is a table that lists each item in a data set with the number of times that occurs. A line graph uses a series of line segments to show changes in data.

26. CONFIDENTIAL 26 That’s all for today!!! We will see soon!