True class interval. frequency total. frequency

Transcription

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2 frequency True class interval True class interval total frequency

3 We will learn in this lecture: A frequency histogram A frequency polygon A frequency curve A steam -and leaf plot A bar chart A line chart A pie chart Second Lecture Data representation

4 Representation of Quantitative Data A Frequency Histogram A Frequency Polygon A frequency curve A steam -and leaf plot

5 Example (1): The following data represent the marks of 50 students in a course:

6 Table (1):frequency table Class Interval total frequency

7 First: A Frequency Histogram

8 frequency True class interval total True class interval frequency

9 frequency True class interval total True class interval frequency

10 frequency True class interval total True class interval frequency

11 frequency True class interval total True class interval frequency

12 Secondly: A Frequency Polygon

13 frequency True class interval total True class interval frequency

14 frequency True class interval total True class interval frequency

15 frequency True class interval total frequency

16 frequency True class interval total True class interval frequency

17 frequency ٤٤ ٥ ٥٤ ٥ ٦٤ ٥ ٧٤ ٥ ٨٤ ٥ ٩٤ ٥ ١٠٤ ٥ True class interval total frequency True class interval

18 thirdly A Frequency Curve

19 frequency True class interval total True class interval frequency

20 A Steam-And-Leaf Plot

21 A Steam-And-Leaf Plot Example(2): The following data represent students marks in Statistics course:

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24 Example(3): Display the data in a steam-and-leaf plot

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28 Example(4): 1. Name this plot. 2. What does the vertical axis represent? 3. What does the horizontal axis represent? 4. Determine the type of data. 5. Determine the class width. 6. Estimate frequencies 7. Construct the frequency table corresponding to the plot

29 Class Interval Mid-points frequency

30 Lower class boundaries less than 62 less than 64 less than 66 less than 6 less than 70 less than 72 less than 74 less than 76 less than 7 A.C.f

31 Example (6): 1. Use the steam-and-leaf plot to list the actual data entries. 2. What is the maximum data entry? 3. What is the minimum data entry? 4. What is the range?

32 The representation of qualitative data Line chart Bar chart Pie cart

33 Example(7): from The below table shows the number of high schools in KSU 1395/1396 to 1400/1401 : year 1395/ / /9 139/ / /1401 Number of school Represent the table in a suitable chart

34 Firstly: Line Chart

35 Year 1395/ / /9 139/ / /1401 No. School No. schools in KSA year

36 Example(): The following table shows the No. of schools in KSA for both genders from 1395/1396 to 1400/1401: year 1395/ / /9 139/ / /1401 No. M Schools No. F Schools Represent the table in a suitable chart

37 year 1395/ / /9 139/ / /1401 No. M schools No. F schools No. Schools ١٣٩٤ ١٣٩٥ ١٣٩٦ ١٣٩٧ ١٣٩٨ ١٣٩٩ ١٤٠٠ عدد مدارس الذكور عدد ادارس اإلناث year ١٤٠١

38 Secondly: Bar chart

39 Simple bar chart

40 year 1395/ / /9 139/ / /1401 No. Schools No. of high shools in KSA ١٣٩٤ ١٣٩٥ ١٣٩٦ ١٣٩٧ ١٣٩٨ ١٣٩٩ ١٤٠٠ year ١٤٠١

41 Cluster charts

42 year 1395/ / /9 139/ / /1401 No. M schools No. F schools Number schools عدد مدارس الذكور عدد ادارس اإلناث year ١٣٩٤ ١٣٩٥ ١٣٩٦ ١٣٩٧ ١٣٩٨ ١٣٩٩ ١٤٠٠ ١٤٠١

43 Third Pie charts

44 Central Angle= frequency x 360 total of frequencies

45 Example (9): The following table shows the area of continents to be represented by Pie charts continent Africa Asia Europe North America Australia South America Area (m^2)

46 continent Area (m^2) Central Angle Africa Asia Europe North America Australia South America Total

47 continent Africa Asia Europe North America Australia South America Total Area (m^2) Central Angle أفريقيا آسيا أوروبا أمريكا الشمالية استراليا ونيوزلندا أمريكا الجنوبية

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53 A frequency histogram A frequency polygon A frequency curve steam -and leaf plot A bar chart A line chart A pie chart Summarization