Mathematics
Draw a histogram for the following data :
Class marks | Frequency |
---|---|
12.5 | 7 |
17.5 | 12 |
22.5 | 20 |
27.5 | 28 |
32.5 | 8 |
37.5 | 11 |
Answer
We know that class mark is the mid-point of class. So, frequency distribution table for above data is :
Class marks | Class | Frequency |
---|---|---|
12.5 | 10 - 15 | 7 |
17.5 | 15 - 20 | 12 |
22.5 | 20 - 25 | 20 |
27.5 | 25 - 30 | 28 |
32.5 | 30 - 35 | 8 |
37.5 | 35 - 40 | 11 |
Steps of construction of histogram :
Since the scale on x-axis starts at 10, a kink is shown near the origin on x-axis to indicate that the graph is drawn to scale beginning at 10.
Take 2 cm along x-axis = 5 units.
Take 1 cm along y-axis = 5 units.
Construct rectangles corresponding to the above continuous frequency distribution table.
The required histogram is shown in the adjoining figure.
Related Questions
Draw a histogram for the following data :
Classes Frequency 59 - 65 10 66 - 72 5 73 - 79 25 80 - 86 15 87 - 93 30 94 - 100 10 Draw a histogram to represent the following data :
Marks obtained No. of students 0 - 10 4 10 - 20 10 20 - 30 6 30 - 40 8 40 - 50 5 50 - 60 9 Draw a histogram to represent the following frequency distribution of monthly wages of 255 workers of a factory.
Monthly wages (in rupees) No. of workers 850 - 950 35 950 - 1050 45 1050 - 1150 75 1150 - 1250 60 1250 - 1350 40 Draw a histogram for the following frequency distribution :
Age (in years) No. of children below 2 12 below 4 15 below 6 36 below 8 45 below 10 72 below 12 90