2. Collection of numbers, when used to represent a certain quantity,forms a data. Examples :: marks obtained by 10 students 23,35,48,30,25,46,13,27,32,38 When all the numbers are listed in a data we call it a RAW DATA

3. RANGE OF A RAW DATA It is the difference between the highest and lowest values of the data. In the following data, 24,42,32,85,19,36,15,63 Range = 85 – 15 = 70

4. PICTOGRAPH ROWSNO; OF BALLS ROW 1 ROW 2 ROW 3 ROW4 ROW 5

5. DAYS NO; OF CARS SOLD MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY ( 1SYMBOLS REPRESENTS 100 CARS ) OBSERVE THE FOLLOWING PICTOGRAPH

6. ChoiceNo.of.fruits Banana 10 Apple 9 Orange 6 Guava 8 Names of fruits N o. o f f r u i t s 1 2 3 4 5 6 7 8 9 10 11 Banana AppleOrange Guava

7. Consider the following data. StudentsAshishArunKavishMayaRita Quarterly101512209 Half yearly1518162115 Marks Students 5 10 15 25 20 Ashish Arun Kavish Maya Rita Scale : 1unit = 5 marks Quarterly marks Half yearly marks Double Bar Graph

8. Choice Tally marks No. of fruits Banana IIII 10 Apple IIII 9 Orange IIII I6 Guava IIII III8 Organising Data

10. A Different form 21,10,30,22,33,5,37,12,25,42,15,39,26,32,18,27,28,19,29,35, 31,24,36,18,20,38,22,44,16,24,10,27,39,28,49,29,32,23,31,21,34,22,23,36,24,36,33,47,48,50,39,20,7,16,36,45,47,30,22,17 GroupsTally marks No. of students 0-10 I I 2 10-20 IIII 10 20-30 IIII IIII IIII IIII I 21 30-40 IIII IIII 19 40-50 IIII II 7 50-60 I 1 Total 60 Class Intervals Frequency Grouped Frequency Distribution

11. Groups No. of students 0-102 10-2010 20-3021 30-4019 40-507 50-601 Total 60 Class Intervals Lower limits Upper limits Continuous Class Intervals Upper Limits not included Width or ( size ) = Upper limit – Lower limit Size = 20 – 10 = 10

12. Histogram Graphical representation of grouped data

14. Daily Income ( in Rs. )No. of workers 100 --12545 125 –15025 150 -- 17555 175 -- 200125 200 -- 225140 225 – 25055 250 – 27535 275 – 30050 300 -- 32520 Total550 Class size 25 Highest frequency140 Lowest frequency20 Upper limit of the class 250 - 275 275 Lower limit of the class 125 - 150 125 Which two classes have the frequency ? 150 – 175 & 225 -- 250 To which class does the number 275 belong ?275 -- 300

15. N o. o f s t u d e n t s Classes Classes No. of students 0-102 10-2010 20-308 30-4012 40-507 50-601 Total 60 1 2 3 5 4 6 7 8 10 9 11 12 60 50 30 40 20 10 Bars of equal width with no gaps between them

18. CIRCLE GRAPHS PIE CHARTS

19. SL NONAMEMARKS 1ANU20 2MANU40 3SONU30 4TINU50 5MINU40 6JINU20 7TOTAL200 SONU ANUANU MANU SONU TINU MINU J INUJ INU

20. How to draw a pie chart? Consider the following table. Favourite foodNo ; of people North indian30 South indian40 Chinese25 Others25 Total120

21. CALCULATIONS Favourite food No ; of peopleCentral angle North indian30 South indian40 Chinese25 Others25 TOTAL120 120 x 360 = 90 0 40 120 x 360 = 120 0 25 x 360 =75 0 25 360x = 75 75 0 = 30 120 360

22. 120 0 90 0 75 0 75 0 N o r t h I n d i a n South Indian O t h e r s Chinese FoodNo ; of people Central angle North Indian 30 90 0 South Indian 40 120 0 Chinese 2575 0 Others2575 0 Total120360 0

23. EVALUATION Time spent by a child during a day is given below ActivitiesTime spent (in hours) school6 Home work4 Play3 others3 Sleep8 Draw a pie chart for the given data