Mathematics
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 |
Answer
Steps :
- Take 1 cm along x-axis = 10 units and 1 cm along y-axis = 2 units.
- 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 23.
Hence, the required mode = 23.
Related Questions
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 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.
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 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.