Draw a histogram and then a frequency polygon for each of the following frequency distribution:(i)

Class Interval
Frequency

(ii)

Class Interval
Frequency

(i)

Class Interval
Frequency

Solution:-

Steps to draw histograms for given frequency distributions,

1. On the x – axis, take units and plot frequency.

2. On the y – axis, take units and plot class interval.

3.Construct rectangles of histograms according to  the given frequency distribution.

4. Then, for each rectangle mark the midpoint of its length at the top.

5. So, in the graph midpoints are , , , , ,

6. Also mark two more midpoints of zero frequency at the start and end on the x-axis.

7. Finally Connect the points using straight lines.

(ii)

Solution:-

Steps to draw histograms for given frequency distributions,

1. First we have to make the class intervals continuous by subtracting 0.5 from the lower limit of each class and add 0.5 to the upper limit of each class.

Then we have,

Class Interval				50.5
Frequency

2. On the x – axis, take units and plot frequency.

3. On the y – axis, take units and plot class interval.

4. Construct rectangles of histograms according to the given frequency distribution.

5. Then, for each rectangle mark the midpoint of its length at the top.

6. So, in the graph midpoints are , , , , ,

7. Also mark two more midpoints of zero frequency at the start and end on the x-axis.

8. Finally Connect the points using straight lines.