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Presentation of Data(Graphical Method)Module 6bBasic StatisticsSRSTHSMs. Pegollo
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Presentation of DataObjectives: At the end of the lesson, the students should be able to:1. Identify specific data appropriate to use for graphs2. Create graphs3. Read and interpret graphs MCPegollo/Basic Statistics/SRSTHS
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Presentation of Data Textual Tabular Graphical Method Method Method• Rearrangem • Frequency • Bar Chart ent from distribution • Histogram lowest to table (FDT) • Frequency highest • Relative Polygon• Stem-and- FDT • Pie Chart leaf plot • Cumulative • Less than, FDT greater than • Contingency Ogive Table MCPegollo/Basic Statistics/SRSTHS
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Graphical Method Graphs add beauty and color toone’s presentation, moreover, it helpsfacilitate comparison and interpretationwithout going through the numericaldata. MCPegollo/Basic Statistics/SRSTHS
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In the succeeding graphs, we shall be using the data in the following table Table 6.1Grouped Frequency Distribution for the Entrance Examination of 60 Students Greater Less than Class Class Class Relative than Frequency Cumulative Interval Mark Boundary Frequency Cumulative (f) Frequency (C I) (x) (cb) (rf) Frequency (< cf) (> cf) 18 - 23 20.5 18 - 24 6 10.00 6 60 24 - 29 26.5 24 - 30 11 18.33 17 54 30 - 35 32.5 30 - 36 17 28.33 34 43 36 - 41 38.5 36 - 42 14 23.33 48 26 42 - 47 44.5 42 - 48 8 13.33 56 12 48 - 53 50.5 48 - 54 3 5.00 59 4 54 - 59 56.5 54 - 60 1 1.67 60 1 N= 60 100.00 MCPegollo/Basic Statistics/SRSTHS
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Bar Chart Figure 1 The Bar Chart of the Grouped Frequency Distribution for the Entrance Examination Scores of 60 Students 18 16 14 12 10 8 6 4 2 0 18-23 24-29 30-35 36-41 42-47 48-53 54-59 A bar chart is a graph presented by either vertical orhorizontal rectangles whose bases represent the class intervalsand whose heights represent the frequencies MCPegollo/Basic Statistics/SRSTHS
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Bar Chart The Bar Chart of the Grouped Frequency Distribution for the Entrance Examination Scores of 60 Students 54-59 1 48-53 3 42-47 8 36-41 14 30-35 17 24-29 11 18-23 6 0 2 4 6 8 10 12 14 16 18 MCPegollo/Basic Statistics/SRSTHS
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Histogram 18 16 14 12 Frequency 10 8 6 4 2 0 20.5 26.5 32.5 38.5 44.5 50.5 56.5 Class Mark Figure 2 The Histogram of the Grouped Frequency Distribution for the Entrance Examination Scores of 60 StudentsA histogram is a graph represented by vertical and horizontal rectangleswhose bases are the class marks and whose heights are the frequencies.Note: There are no gaps between bars. MCPegollo/Basic Statistics/SRSTHS
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Frequency Polygon 18 16 14 12 10 8 6 4 2 0 14.5 20.5 26.5 32.5 38.5 44.5 50.5 56.5 62.5 Figure 4 The Frequency Polygon of the Grouped Frequency Distribution for the Examination Scores of 60 StudentsA frequency polygon is a line graph whose basesare the class marks and whose heights are thefrequencies MCPegollo/Basic Statistics/SRSTHS
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Pie Chart 54-59 2% 48-53 18-23 5% 10% 42-47 14% 24-29 18% 36-41 23% 30-35 28% Figure 5 The Pie Chart of the Grouped Frequency Distribution for the Entrance Examination Scores of 60 studentsA pie chart is a circle graph showing the proportionof each class through either the relative orpercentage frequency MCPegollo/Basic Statistics/SRSTHS
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Ogive 70 60 50 40 30 20 10 0 17.5 23.5 29.5 35.5 41.5 47.5 53.5 Figure 6 The Less than and Greater than ogives for the Entrance Examination Scores of 60 studentsAn ogive is a line graph where the bases are theclass boundaries and the heights are the <cf for theless than ogive and >cf for the greater than ogive. MCPegollo/Basic Statistics/SRSTHS
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QuizWhich parts of the FDT are used inconstructing the following:1. Bar Chart2. Histogram3. Frequency Polygon4. Pie Chart5. Ogive MCPegollo/Basic Statistics/SRSTHS
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Activity 1 (Think-Pair-Share )Insurance companies conductcontinuous research on ages at deathand causes of death. The followingtable shows the ages at death and thecorresponding frequencies. Constructthe following graphs: Age at Freq. Death1. Bar chart 16 - 25 222. Histogram 26 - 35 10 36 – 63. Frequency Polygon 454. Pie Chart 46 – 2 555. Ogives 56 – 4 65 MCPegollo/Basic Statistics/SRSTHS
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Due on Feb. 3Activity 2 (Pair Project) Use short bond papers Mention sampling technique and data gathering method used. Gather data(interval or ratio level only) from 50 members in your batch. Using Microsoft Excel, construct a/an 1. Complete FDT 2. Bar chart 3. Histogram 4. Frequency Polygon 5. Pie Chart 6. Ogive MCPegollo/Basic Statistics/SRSTHS
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