Prepare a histogram for the given data on student marks in different class intervals.

Question

ScanSolve AI Tutor · Accepted Answer

To prepare a histogram for the given data:

Identify the class intervals and frequencies.
The data is already provided with equal class intervals (width of 10 for each interval).

Marks (Class Interval) No. of students (Frequency)
0-10 5
10-20 10
20-30 4
30-40 18
40-50 4
50-60 3
60-70 9
70-80 2
80-90 3
90-100 9
Set up the axes.
- Draw a horizontal axis (x-axis) and label it "Marks". Mark the class boundaries: 0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
- Draw a vertical axis (y-axis) and label it "No. of students" (Frequency). Choose a suitable scale, for example, from 0 to 20, as the maximum frequency is 18.
Draw the bars.
For each class interval, draw a rectangular bar. The width of each bar will correspond to the class width (10 units on the x-axis), and the height of each bar will correspond to its frequency on the y-axis. The bars should touch each other.
- For the interval 0-10, draw a bar with height 5.
- For the interval 10-20, draw a bar with height 10.
- For the interval 20-30, draw a bar with height 4.
- For the interval 30-40, draw a bar with height 18.
- For the interval 40-50, draw a bar with height 4.
- For the interval 50-60, draw a bar with height 3.
- For the interval 60-70, draw a bar with height 9.
- For the interval 70-80, draw a bar with height 2.
- For the interval 80-90, draw a bar with height 3.
- For the interval 90-100, draw a bar with height 9.
The completed histogram will visually represent the distribution of marks among students.

Step-by-step solution