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Question
Draw a histogram for the following distribution and estimate the mode:
| Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
| No. of students | 3 | 7 | 15 | 24 | 16 | 8 | 5 | 2 |
Solution
(a) Take 1cm = 1 unit and plot marks on x-axis and no. of students on y-axis.
(b) Draw a bar graph for the given data.
(c) From the histogram it is clear that class 30-40 has highest frequency i.e. 24
( d) Join the ends of the corresponding frequencies which meet at P and drop a perpendicular on the x-axis from P to Q. Q is the mode. Therefore, Mode = 35
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