Mathematics
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.
Answer
Steps :
- Take 1 cm along x-axis = ₹5 and 1 cm along y-axis = 5 students.
- 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 ₹21.50.
Hence, the required mode = ₹21.50.
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 Find the mode of the following distribution by drawing a histogram.
Mid value Frequency 12 20 18 12 24 8 30 24 36 16 42 8 48 12 Also state the modal class.
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 Draw a histogram for the following distribution :
Wt. (in kg) No. of students 40 - 44 2 45 - 49 8 50 - 54 12 55 - 59 10 60 - 64 6 65 - 69 4 Hence, estimate the modal weight.