A property of a frequency polygon is that (a) a histogram is always needed in the construction of the polygon. (b) the polygon is made up of line segments. (c) the end points of the polygon need not be tied down to the horizontal axis at both ends. (d) the polygon can be constructed on a pie chart.
Question
A property of a frequency polygon is that (a) a histogram is always needed in the construction of the polygon. (b) the polygon is made up of line segments. (c) the end points of the polygon need not be tied down to the horizontal axis at both ends. (d) the polygon can be constructed on a pie chart.
Solution
(a) False. A frequency polygon can be constructed directly from a frequency table. It does not always require a histogram for its construction.
(b) True. A frequency polygon is made up of line segments that connect the midpoints of the top of the bars in a histogram or the points directly from a frequency table.
(c) False. The end points of the frequency polygon should be tied down to the horizontal axis at both ends to indicate that the class intervals are continuous and that there are no data points beyond these end points.
(d) False. A frequency polygon cannot be constructed on a pie chart. It is typically constructed on a Cartesian plane.
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