Mathematics
A mathematics aptitude test of 50 students was recorded as follows :
| Marks | No. of students |
|---|---|
| 50 - 60 | 4 |
| 60 - 70 | 8 |
| 70 - 80 | 14 |
| 80 - 90 | 19 |
| 90 - 100 | 5 |
Draw a histogram for the above data using a graph paper and locate the mode.
Answer
Steps :
- Take 1 cm along x-axis = 10 marks and 1 cm along y-axis = 4 (students).
- Since, the scale on x-axis starts at 50, a break (zig-zag curve) is shown near the origin along x-axis to indicate that the graph is drawn to scale beginning at 50 and not at origin itself.
- Construct rectangles corresponding to the given data.
- In highest rectangle, draw two st. lines AC and BD from corners of the rectangles on either side of the highest rectangle to the opposite corners of the highest rectangle. Let P be the point of intersection of AC and BD.
- Through P, draw a vertical line to meet the x-axis at M. The abscissa of the point M represents 82.5.
Hence, the required mode = 82.5
Related Questions
Draw a histogram and estimate the mode for the following frequency distribution :
Classes Frequency 0 - 10 2 10 - 20 8 20 - 30 10 30 - 40 5 40 - 50 4 50 - 60 3 Using a graph paper, draw a histogram for the given distribution showing the number of runs scored by 50 batsmen. Estimate the mode of the data :
Runs scored No. of batsmen 3000 - 4000 4 4000 - 5000 18 5000 - 6000 9 6000 - 7000 6 7000 - 8000 7 8000 - 9000 2 9000 - 10000 4 Use a graph paper for this question. The daily pocket expenses of 200 students in a school are given below :
Pocket expenses
(in ₹)No. of students
(frequency)0 - 5 10 5 - 10 14 10 - 15 28 15 - 20 42 20 - 25 50 25 - 30 30 30 - 35 14 35 - 40 12 Draw a histogram representing the above distribution and estimate the mode from the graph.
Draw a histogram for the following frequency distribution and find the mode from the graph :
Class Frequency 0 - 5 2 5 - 10 5 10 - 15 18 15 - 20 14 20 - 25 8 25 - 30 5