# 5.9.4. Representing Data by the Histogram and the Frequency Polygon

The frequency polygon below illustrates data collected by a company on the daily wages of some employees. Determine the values that complete the frequency table.

 Sets Total Frequency 40 20– 30– 40– 50– 60–

• A4, 14, 5, 12, 5
• B4, 5, 14, 12, 5
• C3, 5, 14, 12, 5
• D4, 6, 14, 12, 5
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Use the frequency polygon below, which represents the marks of a group of students in a test, to complete the frequency table.

 Sets Total Frequency 60 0– 10– 20– 30– 40– 50– 60–

• A4, 7, 10, 11, 13, 7, 8
• B4, 7, 10, 11, 13, 8, 7
• C5, 7, 10, 11, 13, 8, 7
• D4, 10, 7, 11, 13, 8, 7
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The following frequency distribution shows the exam marks of a group of students. What is the number of students who got 20 marks or more?

 Sets Total Number of Students 55 5– 10– 15– 20– 25– 30– 35– 12 2 9 12 4 9 7

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The table below shows the range of temperatures in degrees Celsius recorded in 45 cities on the same day. How many cities had a temperature below 22 degrees?

 Temperature Total Number of Cities 45 20– 22– 24– 26– 28– 14 7 10 8 6

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Find the value of in the following table:

 Sets Total Frequency 65 10– 20– 30– 40– 50– 12 14 15 14

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Find the value of in the table below.

 Sets Total Frequency 50 90– – 130– 150– 170– 6 9 15 6 6

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The table below shows the distribution of students' mark in an exam, what is the total number of the students in this class?

 Marks Frequencies 0– 2– 4– 6– 8– 8 4 5 2 10

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