How to draw a frequency distribution table :How to draw a frequency distribution table How to draw a frequency histogramgraph How to draw a frequency polygongraph By Lisa Mahon


Slide 2:Step one: Find the smallest and largest number Sort data into a frequency distribution table and then graph. Data 1,4,5,7,3,3,7,7,9,5,7,8,3,4,7,9,2,5,6,1,1,2,2,2,6,4,2,5,2,3,7,6,8,8,9 1 9


Slide 3:Step two: Draw frequency distribution table Sort data into a frequency distribution table and then graph. Data 1,4,5,7,3,3,7,7,9,5,7,8,3,4,7,9,2,5,6,1,1,2,2,2,6,4,2,5,2,3,7,6,8,8,9 1 9 1 2 3 4 5 6 7 8 9 score f fx Total tally


Slide 4:Step three: Complete tally column Sort data into a frequency distribution table and then graph. Data 1,4,5,7,3,3,7,7,9,5,7,8,3,4,7,9,2,5,6,1,1,2,2,2,6,4,2,5,2,3,7,6,8,8,9 1 9 1 2 3 4 5 6 7 8 9 score f fx Total tally


Slide 5:Step four: Complete frequency column Sort data into a frequency distribution table and then graph. Data 1,4,5,7,3,3,7,7,9,5,7,8,3,4,7,9,2,5,6,1,1,2,2,2,6,4,2,5,2,3,7,6,8,8,9 1 9 1 2 3 4 5 6 7 8 9 score f fx Total tally 3 6 4 3 4 3 6 3 3


Slide 6:Step five: Complete fx column Sort data into a frequency distribution table and then graph. Data 1,4,5,7,3,3,7,7,9,5,7,8,3,4,7,9,2,5,6,1,1,2,2,2,6,4,2,5,2,3,7,6,8,8,9 1 9 1 2 3 4 5 6 7 8 9 score f fx Total tally 3 6 4 3 4 3 6 3 3 Remember fx means to multiply frequency and score 3 12 12 12 20 18 42 24 27


Slide 7:Step six: Complete totals Sort data into a frequency distribution table and then graph. Data 1,4,5,7,3,3,7,7,9,5,7,8,3,4,7,9,2,5,6,1,1,2,2,2,6,4,2,5,2,3,7,6,8,8,9 1 9 1 2 3 4 5 6 7 8 9 score f fx Total tally 3 6 4 3 4 3 6 3 3 3 12 12 12 20 18 42 24 27 35 170


Slide 8:1,4,5,7,3,3,7,7,9,5,7,8,3,4,7,9,2,5,6,1,1,2,2,2,6,4,2,5,2,3,7,6,8,8,9 Activity: Use the data below and complete the frequency distribution table in your worksheet


Slide 9:Step One: Draw the axis and label Draw a histogram using the information in the frequency distribution table 1 2 3 4 5 6 7 8 9 score f fx Total tally 3 6 4 3 4 3 6 3 3 3 12 12 12 20 18 42 24 27 35 170 score frequency 1 2 3 4 5 6 7 8 9 6 5 4 3 2 1 0


Slide 10:Step two: Draw the histogram Draw a histogram using the information in the frequency distribution table 1 2 3 4 5 6 7 8 9 score f fx Total tally 3 6 4 3 4 3 6 3 3 3 12 12 12 20 18 42 24 27 35 170 score frequency 1 2 3 4 5 6 7 8 9 6 5 4 3 2 1 0 The columns must be drawn over the number Always leave a gap to begin with


Slide 11:Things to remember Draw a histogram using the information in the frequency distribution table 1 2 3 4 5 6 7 8 9 score f fx Total tally 3 6 4 3 4 3 6 3 3 3 12 12 12 20 18 42 24 27 35 170 score frequency 1 2 3 4 5 6 7 8 9 6 5 4 3 2 1 0 Always use a ruler to draw graph The vertical scale does not have to be the same as the horizontal scale


Slide 12:More things to remember Draw a histogram using the information in the frequency distribution table 1 2 3 4 5 6 7 8 9 score f fx Total tally 3 6 4 3 4 3 6 3 3 3 12 12 12 20 18 42 24 27 35 170 score frequency 1 2 3 4 5 6 7 8 9 6 5 4 3 2 1 0 The zero belongs to the vertical data


Slide 13:Final result 1 2 3 4 5 6 7 8 9 score f fx Total tally 3 6 4 3 4 3 6 3 3 3 12 12 12 20 18 42 24 27 35 170 score frequency 1 2 3 4 5 6 7 8 9 6 5 4 3 2 1 0


Slide 14:In your work booklet draw a histogram using the data in the table 1 2 3 4 5 6 7 8 9 score f fx Total tally 3 6 4 3 4 3 6 3 3 3 12 12 12 20 18 42 24 27 35 170


Slide 15:Step eight: Draw the polygon Draw a polygon using the information in the frequency distribution table 1 2 3 4 5 6 7 8 9 score f fx Total tally 3 6 4 3 4 3 6 3 3 3 12 12 12 20 18 42 24 27 35 170 score frequency 1 2 3 4 5 6 7 8 9 6 5 4 3 2 1 0 The polygon must start here Use a ruler to draw the line The polygon MUST finish at the next number


Slide 16:Final result 1 2 3 4 5 6 7 8 9 score f fx Total tally 3 6 4 3 4 3 6 3 3 3 12 12 12 20 18 42 24 27 35 170 score frequency 1 2 3 4 5 6 7 8 9 6 5 4 3 2 1 0


Slide 17:1 2 3 4 5 6 7 8 9 score f fx Total tally 3 6 4 3 4 3 6 3 3 3 12 12 12 20 18 42 24 27 35 170 In your work booklet draw a polygon using the data in the table below


Slide 18:Some questions want the histogram and polygon together 1 2 3 4 5 6 7 8 9 score f fx Total tally 3 6 4 3 4 3 6 3 3 3 12 12 12 20 18 42 24 27 35 170 score frequency 1 2 3 4 5 6 7 8 9 6 5 4 3 2 1 0 Always answer the question exactly the way the question asks.