Grade 12 Math: Frequency Polygons

This worksheet covers the construction and interpretation of frequency polygons for Grade 12 students.

Grade 12 Math Probability and StatisticsFrequency Polygon

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TextFill in the BlanksShort AnswerMultiple ChoiceCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSS.ID.A.1CCSS.MATH.CONTENT.HSS.ID.A.4

Topics

mathgrade 12frequency polygonstatisticsdata representation

8 sections · Free to use · Printable

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Grade 12 Math: Frequency Polygons

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Read each question carefully and answer to the best of your ability. Show all your work where applicable.

A frequency polygon is a graphical display of a frequency distribution that is constructed by connecting the midpoints of the tops of the bars of a histogram with line segments. This visual representation helps to illustrate the shape of the distribution.

1. A frequency polygon is formed by connecting the of the tops of the bars of a histogram.

2. To construct a frequency polygon, we first need to determine the for each class interval.

3. The vertical axis of a frequency polygon represents the .

4. Explain one advantage of using a frequency polygon over a histogram to represent data.

5. Which of the following is NOT required to construct a frequency polygon?

Class intervals

Frequencies

Class boundaries

Individual data points

6. The following table shows the scores of 30 students in a math test:

| Scores | Frequency | Midpoint |

|---|---|---|

| 40-49 | 3 | 44.5 |

| 50-59 | 7 | 54.5 |

| 60-69 | 10 | 64.5 |

| 70-79 | 6 | 74.5 |

| 80-89 | 4 | 84.5 |

Construct a frequency polygon for the given data on the graph below.

7. A frequency polygon always starts and ends at zero frequency on the horizontal axis to enclose the area.

True

False