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Question

# The daily wages of 50 workers in a factory are given below:Daily wages (in Rs.)340−380380−420420−460460−500500−540540−580Number of wrokers16912274Construct a histogram to represent the above frequency distribution.

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Solution

## The given frequency distribution is in exclusive form.We will represent the class intervals [daily wages (in rupees)] along the x-axis & the corresponding frequencies [number of workers] along the y-axis.The scale is as follows:On $x$-axis: 1 big division =40 rupeesOn $y$-axis: 1 big division =2 workersBecause the scale on the x-axis starts at 340, a kink, i.e., a break, is indicated near the origin to signify that the graph is drawn with a scale beginning at 340and not at the origin.We will construct rectangles with the class intervals as bases and the corresponding frequencies as heights.Thus, we will obtain the following histogram:

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