Question

Weekly wages of 250 workers in a factory are given in the following table. Construct the histogram and frequency polygon on the same graph for the data given.

Weekly wage	500-550	550-600	600-650	650-700	700-750	750-800
No of workers	30	42	50	55	45	28

Answer 1

Hint:
Make a new tally chart in which there will be a midpoint row.
Histogram - a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.
Frequency polygon - frequency polygon is a graph constructed by using lines to join the midpoints of each interval, or bin.

Complete step by step solution:

Weekly wages	Mid-point	No of workers
500-550	525	30
550-600	575	42
600-650	627	50
650-700	672	55
700-750	725	45
750-800	775	28

We will take an x-y plane for the histogram.
On x- plane weekly wages are given and on y- plane no of workers are given.
First, we will take midpoint of the bar. And connect them to make a curve.

Note:
A frequency polygon is a graph constructed by using lines to join the midpoints of each interval, or bin. The heights of the points represent the frequencies. A frequency polygon can be created from the histogram or by calculating the midpoints of the bins from the frequency distribution table.
Steps to Draw a Frequency Polygon
1) Mark all the class marks on the horizontal axis. It is also known as the mid-value of every class.
2) Corresponding to each class mark, plot the frequency as given to you. ...
3) Join all the plotted points using a line segment. ...
4) This resulting curve is called the frequency polygon.
Histogram: a graphical display of data using bars of different heights. It is similar to a Bar Chart, but a histogram groups numbers into ranges . The height of each bar shows how many fall into each range. A frequency distribution shows how often each different value in a set of data occurs. A histogram is the most commonly used graph to show frequency distributions. It looks very much like a bar chart, but there are important differences between them.