Histogram Construction
1. Problem 1: Draw a histogram from the frequency distribution given for scores 5-40.
2. The score intervals are: 5-10, 10-15, 15-20, 20-25, 25-30, 30-35, 35-40.
3. Corresponding frequencies are: 5, 16, 30, 45, 27, 14, 3 respectively.
4. For a histogram, the horizontal axis (x-axis) represents the score intervals, which are continuous and non-overlapping.
5. The vertical axis (y-axis) represents frequency counts.
6. Each bar's width corresponds to the class width (equal width of 5 here), and height is the frequency.
7. Problem 2: Draw a histogram from the frequency distribution for scores 11-100 in intervals of 10.
8. Score intervals: 11-20, 21-30, 31-40, 41-50, 51-60, 61-70, 71-80, 81-90, 91-100.
9. Frequencies: 2, 4, 5, 6, 8, 7, 5, 3, 1 respectively.
10. Similarly, bars on the histogram correspond to these intervals with respective heights.
Summary:
- Histograms are bar graphs representing frequency with continuous score intervals on x-axis.
- Heights of bars = frequencies.
- Bar widths = class interval lengths.
No explicit function is given or computed since histogram is a graphical representation based on the data above.