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ch13MGF1106

# ch13MGF1106 - Chapter 13 Statistics Slide 13 1 13.4...

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Slide 13 - 1 Chapter 13 Statistics

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Slide 13 - 2 13.4 Statistical Graphs
Slide 13 - 3 Types of Graphs We will look at 4 different types of graphs. Circle graph (pie chart) Histogram Frequency polygon Stem-and-leaf display

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Slide 13 - 4 Circle Graphs Circle graphs (also known as pie charts) are often used to compare parts of one or more components of the whole to the whole.
Slide 13 - 5 Example 1: Circle Graphs According to a recent survey of what student at SFC do for spring break shows that ……. . We can display this data on a circle graph… ACTIVITY AMOUNT OF STUDENTS Visited family/friends 150 Went on a cruise overseas 322 Worked 73 Studied/catch up on school 85 Went to the beach (domestic) 374 Other 111

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Slide 13 - 6 Example 1: Circle Graphs We want to find out how much percent each will take up of the graph. Total percent must be approximately 100 and total degree is approximately ACTIVITY AMOUNT OF STUDENTS PERCENT OF TOTAL MEASURE OF CENTRAL ANGLE Visited family/friends 150 (150/1115) X 100 = 13.45% .1345 x 360 o = 48.42 o Went on a cruise 322 (322/1115) X 100 = 28.88% .2888 x 360 o = 103.97 o Worked 73 (73/1115) X 100 = 6.55% .0655 x 360 o = 23.58 o Studied/school work 85 (85/1115) X 100 = 7.62% .0762 x 360 o = 27.43 o Went to beach 374 (374/1115) X 100 = 33.54% .3354 x 360 o = 120.74 o Other 111 (111/1115) X 100 = 9.96% .0996 x 360 o = 35.86 o TOTAL 1115 100% 360 o
Slide 13 - 7 Example 1: Circle Graphs

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Slide 13 - 8 Histograms and Frequency Polygons Histograms and frequency polygons are statistical graphs used to illustrate frequency distributions. A histogram is a graph with observed values on its horizontal scale and its frequencies on its vertical scale. Frequency polygons are line graphs with scales the same as those of the histogram. A dot is placed over the observed value and are connected with line segments. Two additional class marks, one at the lower end and one at the upper end on the horizontal scale.
Slide 13 - 9 Example 2: Histogram Construct a histogram for the given data. NUMBER OF SHOES OWNED (OBSERVED VALUES) NUMBER OF STUDENTS (FREQUENCY) 1 5 2 8 3 12 4 17 5 15 6 20 7 13 8 10 9 5 10 9 >10 6

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Slide 13 - 10 Example 2: Histogram
Slide 13 - 11 Example 3: Frequency Polygon Construct a frequency polygon for the given data. NUMBER OF SHOES OWNED (OBSERVED VALUES) NUMBER OF STUDENTS (FREQUENCY) 1 5 2 8 3 12 4 17 5 15 6 20 7 13 8 10 9 5 10 9 >10 6

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Slide 13 - 12 Example 3: Frequency Polygon
Slide 13 - 13 Stem-and-Leaf Display A stem-and-leaf display is a tool that organizes and groups the data while allowing us to see the actual values that make up the data. The left group of digits is called the stem . The right group of digits is called the leaf .

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Slide 13 - 14 Stem-and-Leaf Display Divide each observation into stem value and leaf value Stem value defines class Leaf value defines frequency (count) 2 144677 3 028 4 1 Data: 21, 24, 24, Data: 21, 24, 24, 26 26 , 27, 27, 30, 32, 38, 41 , 27, 27, 30, 32, 38, 41 26 26
Slide 13 - 15 Example 4: Stem-and-Leaf Display The table below indicates the number of miles 20 workers have to drive to work. Construct a stem-and-leaf display.

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ch13MGF1106 - Chapter 13 Statistics Slide 13 1 13.4...

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