Draw, in the same diagram, a histogram and a frequency polygon to represent the following data which shows the monthly cost of living index of a city in a period of 2 years:
Answers
A histogram and a frequency polygon to represent the given data which shows the monthly cost of living index of a city in a period of 2 years is in the attachment below.
Extra information :
A frequency polygon is the polygon obtained by joining the midpoints of upper horizontal sides of all the rectangles in the histogram. Frequency polygons can also be drawn independently without drawing histograms.
For this we first find class mark of a class interval by using the formula
Class mark = ( upper limit + lower limit) /2
Histogram
Histogram is a graphical representation of a grouped frequency distribution in exclusive form with continuous classes in the form of rectangles with class intervals as bases and the corresponding frequencies as Heights.
There is no gap between any two consecutive rectangles.
In histogram we draw a kink.
Kink i.e. break is indicated near the origin to signify that a graph is drawn not at the origin.
If the first class interval is not starting from zero , then we show it on the graph by making a kink or a break on the axis.
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