Visual Representation Of Data

VISUAL REPRESENTATION OF DATA

Contents Ways Of Representing Data Visual Representation focus on… Types Of Graph Further Explanations (Word) Further Explanations (Excel) Demonstrations 

Ways Of Representing Data •Bar/Pie Charts/Pictograms •Histograms/Cumulative Frequency •Time Series •Scatter Diagrams •Variation and Experimental Data •2-Dice simulation •Binomial (any n , p), Poisson (any m), normal (any m,s²) •Central Limit Theorem.

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VISUAL REPRESENTATION focus on…

PICTOGRAPH HISTOGRAMS FREQUENCY POLYGONS FREQUENCY TABLES OGIVE

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Types of graph Pictogram Histogram Ogive Frequency Polygon Frequency Table Pie Line Scatter Binomial graph Normal graph

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PICTOGRAM A pictogram is the simple way to representing

data. Frequency is indicated by identical pictures (called symbols of motifs) arranged in rows or column. Symbols may be divided into halves to other fractions to represent parts of a number. Pictograms are mainly used in newspapers, magazines and reports in order to make a striking display. They are usually aimed at people who are unskilled in statistics or who have limited interest in the information Contents Types shown, and are more suitable for

Pictograms Monday

Tuesday

Wednesday

Represents 5 star fruits. Types

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histograms Histograms are like vertical bar graphs of

group data. There are no gaps between the bars. The area of the bars gives the number of items in the class interval. If all interval are same, then the bars will be the same width, and the frequencies can be represented by the height of the bars.

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Different Shapes of Histogram

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More Shapes of Histogram

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ogive Ogive, or a cumulative frequency

curve is the curve obtained by plotting cumulative frequencies against the upper boundaries of the classes. Types

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Explanation About Ogive An ogive ("Oh-jive") is a curved shape, figure,

or feature. In statistics, an ogive is the curve of a cumulative distribution function (which, for the normal distribution, resembles one side of an Arabesque or ogival arch). •

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Ogive

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FREQUENCY TABLES Raw data can be arranged in a

frequency tables. •

A frequency tables shows the

number of times (frequency) each values occurs. Types

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Frequency Tables Mark 1 obtained

2

3

4

5

6

7

8

9

10

Frequenc 2 y

1

1

2

4

3

6

3

2

1

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Table 1

Example: 5 7 5

5 6 7

7 4

7

6 7

2

7

9

10 4

5 8 8

3 1

1

9

6

8

So, the frequency table of this row data would look like this: Mark 1 2 3 4 5 6 7 8 9 10 obtained Frequency

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2

1

1

2

4

3

6

3

2

1

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FREQUENCY POLYGON Frequency polygon is same as ogive. •

If the points are joined by straight

line, the graph is called a cumulative frequency polygon. Types

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Frequency Polygon

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Different Shapes of Pie

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Different Shapes of Line Graph

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More Shapes of Line Graph

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Different Shapes of Scatter

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More Shapes of Scatter

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Different Shapes of Binomial Graph

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Normal Distributions

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Continuous Distributions

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1

2

3

4

5

6

7

8

9

1 0

Poison Graph

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Further Explanations (Word) Statistical data diagram Probability distributions The Central Limit Theorem Generating Raw Data Sets Discrete/Continuous and Frequency Density Generating Figures Hypothesis Testing

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Further Explanations (excel) 2-dice •200 marks •BinPoi •Brains •NormCalc •Sampling •Sliders •

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Demonstrations Raw data Frequency Density Histogram measurement Tables of values Data from Poisson Text box Hypothesis tests CLT Discrete probability Normal distribution Types Grouped data

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