Mathematics 101: Tabular and Graphical Presentation of Data Olive - PowerPoint PPT Presentation

Mathematics 101: Tabular and Graphical Presentation of Data Olive R. Cawiding Department of Mathematics and Computer Science University of the Philippines Baguio

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Overview Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Textual Presentation of Data Data can be presented by incorporating it to a paragraph of text. Examples: “The Philippines’ annual inflation rate rose to 5.7 percent in July of 2018 from 5.2 percent in the previous month, above market estimates of 5.5 percent. It is the highest reading since March 2009. On a monthly basis, consumer prices went up 0.5 percent, after a 0.6 percent rise in June.” - Trading Economics “Employment rate in Philippines decreased to 94.50 percent in the second quarter of 2018 from 94.70 percent in the first quarter of 2018. Employment Rate in Philippines averaged 91.22 percent from 1991 until 2018, reaching an all time high of 95.30 percent in the fourth quarter of 2016 and a record low of 85.60 percent in the second quarter of 1991.”- Trading Economics

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Textual Presentation of Data Important Questions. 1. When is it appropriate to use textual presentation of data? 2. What are possible disadvantages of textual presentation of data?

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Overview Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Tabular Presentation of Data Data can also be presented by means of tables . This is a systematic organization of data using columns and rows. What are its advantages over a textual presentation of data?

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Tabular Presentation of Data

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Parts of a Formal Statistical Table 1. Heading - consists of a table number, title, and headnote. • The title is a brief statement of the nature, classification and time reference of the information presented and the area to which the statistics refer. • The headnote is a statement enclosed in brackets between the table title and the top rule of the table that provides additional title information. 2. Box Head - the portion of the table that contains the column heads and spanner heads • The column heads describe the data in each column, together with the necessary and qualifying spanner heads .

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Parts of a Formal Statistical Table 3. Stub - the portion of the table usually comprising the first column on the left, in which the stubhead and row captions, together with the needed classifying and qualifying centerhead and subheads are located. • The stubhead describes the stub listing as a whole in terms of the classification presented. • The row caption is a descriptive title of the data on the given line. 4. Field - main part of the table; contains the substance or the figures of one’s data.

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Parts of a Formal Statistical Table 5. Source Data - an exact citation of the source of data presented in the table (should always be placed when figures are not original) 6. Footnote - any statement or note inserted at the bottom of the table What should be taken note of when creating a statistical table?

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Overview Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Graphical Presentation of Data A graph or chart is a device for showing numerical values or relationships in pictorial form.

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Graphical Presentation of Data

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Graphical Presentation of Data Qualities of a Good Graph 1. Accuracy 2. Clarity 3. Simplicity 4. Appearance

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Common Types of Graphs: Line Chart A line chart is a graphical presentation of data especially useful for showing trends over a period of time.

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Common Types of Graphs: Bar Chart A bar chart consists of a series of rectangular bars where the length of the bar represents the quantity of frequency for each category if the bars are arranged horizontally. If the bars are arranged vertically, the height of the bar represents the quantity.

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Common Types of Graphs: Bar Chart

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Common Types of Graphs: Pie Chart A pie chart a circular graph that is useful in showing how a total quantity is distributed among a group of categories. The “pieces of pie” represent the proportions of the total that fall into each category.

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Common Types of Graphs: Pie Chart

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Common Types of Graphs: Pie Chart

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Pictorial Unit Chart A pictorial unit chart is a chart in which each symbol represents a definite and uniform value.

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table Overview Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table The Frequency Distribution Table Definition. The raw data is the set of data in its original form. Example: The final grades of Math 101 students are as follows.

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table The Frequency Distribution Table Definition. An array is an arrangement of observations according to their magnitude, either in increasing or decreasing order. Example: The final grades (in an array) of Math 101 students are as follows. 50 57 63 69 72 74 77 80 82 84 87 50 59 65 69 72 75 77 80 82 84 87 50 59 66 69 72 75 77 80 82 85 88 50 60 66 69 72 75 77 81 83 85 89 50 60 68 70 73 75 78 81 83 86 89 50 60 68 71 73 75 79 81 84 86 91 51 62 68 71 73 76 79 81 84 87 92 52 62 68 71 73 76 79 82 84 87 94 53 62 68 71 74 76 79 82 84 87 94 53 62 69 72 74 76 79 82 84 87 96

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table The Frequency Distribution Table A frequency distribution is the organization of raw data in table form, using classes and frequencies. The frequency distribution table shows the number of items falling into each group.

Textual Presentation of Data Tabular Presentation of Data Graphical Presentation of Data The Frequency Distribution Table The Frequency Distribution Table Class Freq . LCB UCB CM RF RFP < CF > CF 50 − 54 10 49 . 5 54 . 5 52 0 . 09 9 10 110 55 − 59 3 54 . 5 59 . 5 57 0 . 03 3 13 100 60 − 64 8 59 . 5 64 . 5 62 0 . 07 7 21 97 65 − 69 13 64 . 5 69 . 5 67 0 . 12 12 34 89 70 − 74 17 69 . 5 74 . 5 72 0 . 15 15 51 76 75 − 79 19 74 . 5 79 . 5 77 0 . 17 17 70 59 80 − 84 22 79 . 5 84 . 5 82 0 . 20 20 92 40 85 − 89 13 84 . 5 89 . 5 87 0 . 12 12 105 18 90 − 94 4 89 . 5 94 . 5 92 0 . 04 4 109 5 95 − 99 1 94 . 5 99 . 5 97 0 . 01 1 110 1