Mathematics
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 |
Answer
Steps :
- Take 1 cm along x-axis = 1000 runs and 1 cm along y-axis = 4 (batsman).
- 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 4600.
Hence, the required mode = 4600.
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 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.
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 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.