Construct histograms

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Edit   Delete - Last Modified By: tco at 6/11/2014 3:02:08 PM

 

Watch the following video that explains how to make a histogram:


Edit   Delete - Last Modified By: TST at 25/11/2013 3:21:55 PM
Use the following link to find out how to use a histogram to make a frequency polygon:

Edit   Delete - Last Modified By: TST at 25/11/2013 3:35:56 PM

Complete the following questions using graph paper:

 

1 Forty households were surveyed to find the number of children

in each of them. The data were collected and recorded as follows:

0, 3, 2, 4, 1, 2, 3, 2, 2, 2, 2, 1, 3, 4, 5, 2, 3, 1, 1, 1,

0, 0, 2, 3, 4, 1, 3, 4, 2, 2, 0, 1, 2, 3, 2, 0, 2, 4, 5, 1.

a Organise the data into a frequency table, including a column for the relative frequency.

b Display the data as a combined histogram and frequency polygon.

 

5 In a survey, 40 people were asked about the number of hours a week they spent

watching television. The results are listed below.

10, 13, 7, 12, 16, 11, 6, 14, 6, 11, 5, 14, 12, 8, 27, 17, 13, 8, 14, 10,

13, 7, 15, 10, 16, 8, 18, 14, 21, 28, 9, 12, 11, 13, 9, 13, 29, 5, 24, 11

a Find the range of the data.

b Organise the data into 5 class intervals and use these to create a frequency distribution table that displays the class intervals, midpoints and frequencies.

c Construct a combined histogram and frequency polygon to suit the table.

 

8 The height, in centimetres, of 30 students in Year 9 was recorded as follows.

146, 163, 156, 168, 159, 170, 152, 174, 156, 163, 157, 161, 178, 151, 148,

167, 162, 157, 166, 154, 150, 166, 160, 155, 164, 157, 171, 168, 158, 162

a Organise the data into 7 classes, starting at 145 cm and draw up a frequency distribution table.

b Display the data as a histogram.

c Is it possible to obtain the range of heights from just the table? Explain.

d How many students stood at least 160 cm tall?

e What percentage were under the minimum height of 165 cm for the basketball team?


Edit   Delete - Last Modified By: TST at 25/11/2013 3:36:36 PM
When finished, complete the assigned activities on Mangahigh

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