This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To prepare a histogram for the given data: Step 1: 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 | Step 2: 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. Step 3: 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.