Statistics Construction Questions (Forms 1-2)
1. Construct a bar chart showing the number of students in 5 classes: A (25), B (30), C (20), D (35), E (40).
2. Draw a line graph to represent the temperature in a week: Mon (29°C), Tue (30°C), Wed (28°C), Thu (31°C), Fri (27°C), Sat (26°C), Sun (29°C).
3. Given the data: 0–10 (5), 10–20 (10), 20–30 (20), 30–40 (15), 40–50 (5), draw a histogram.
4. From the frequency table below, draw a frequency polygon:
\( \begin{array}{|c|c|} \hline \text{Class Interval} & \text{Frequency} \\ \hline 10-20 & 2 \\ \hline 20-30 & 5 \\ \hline 30-40 & 7 \\ \hline 40-50 & 6 \\ \hline \end{array} \)
\( \begin{array}{|c|c|} \hline \text{Class Interval} & \text{Frequency} \\ \hline 10-20 & 2 \\ \hline 20-30 & 5 \\ \hline 30-40 & 7 \\ \hline 40-50 & 6 \\ \hline \end{array} \)
5. Plot an ogive for the data: 0–10 (3), 10–20 (7), 20–30 (12), 30–40 (18), 40–50 (20).
6. What is the range of this data set: 5, 9, 12, 17, 22?
7. Construct a bar chart to compare boys and girls in each class: Class 1 (B:15, G:10), Class 2 (B:20, G:25), Class 3 (B:18, G:22).
8. Draw a histogram using the grouped data: 5–15 (4), 15–25 (6), 25–35 (10), 35–45 (8).
9. Use a frequency polygon to display the following data: 0–10 (3), 10–20 (8), 20–30 (10), 30–40 (6).
10. Create a line graph to show monthly sales (in units): Jan (100), Feb (120), Mar (110), Apr (130), May (125).
11. Construct a cumulative frequency table for the data: 0–5 (2), 5–10 (3), 10–15 (5), 15–20 (7).
12. Draw a bar chart to show fruit preferences: Apples (15), Bananas (10), Oranges (12), Mangoes (8).
13. Identify the modal class from the table: 0–10 (4), 10–20 (7), 20–30 (9), 30–40 (5).
14. Show how to represent the data with a pie chart: Maths (30%), English (25%), Science (20%), Kiswahili (25%).
15. Use a line graph to show rainfall in mm: Jan (100), Feb (80), Mar (120), Apr (90), May (70).
16. Given the data below, construct a histogram:
\( \begin{array}{|c|c|} \hline \text{Interval} & \text{Frequency} \\ \hline 1-5 & 3 \\ \hline 5-9 & 7 \\ \hline 9-13 & 10 \\ \hline 13-17 & 5 \\ \hline \end{array} \)
\( \begin{array}{|c|c|} \hline \text{Interval} & \text{Frequency} \\ \hline 1-5 & 3 \\ \hline 5-9 & 7 \\ \hline 9-13 & 10 \\ \hline 13-17 & 5 \\ \hline \end{array} \)
17. Construct a frequency polygon for the data in Question 16.
18. From the table: 0–5 (2), 5–10 (4), 10–15 (8), 15–20 (6), draw an ogive.
19. What is the range in class intervals: 5–10, 10–15, 15–20?
20. Draw a bar chart from this table: Item A (20), B (30), C (25), D (35).
21. Use line graph to show school attendance: Mon (50), Tue (55), Wed (53), Thu (60), Fri (52).
22. From a histogram, explain how to find the modal class.
23. Create a pie chart from: Red (40), Blue (30), Green (20), Yellow (10).
24. Calculate the class boundaries for 10–20, 20–30.
25. Draw a frequency polygon using midpoints for: 0–10 (5), 10–20 (10), 20–30 (7).
26. Construct a cumulative frequency graph (ogive) for: 0–20 (3), 20–40 (6), 40–60 (11), 60–80 (10).
27. What is the range of these scores: 48, 55, 67, 89, 92?
28. Use a line graph to show fuel prices (TSh): Mon (2850), Tue (2870), Wed (2890), Thu (2840), Fri (2860).
29. Design a frequency table from the raw data: 5, 8, 8, 10, 10, 10, 12, 15, 15, 20.
30. Using question 29, construct a histogram and frequency polygon on same axes.
Suggested Answers:
- Bar chart with 5 bars for each class.
- Line graph connecting 7 points for each day.
- Histogram with five class intervals and frequencies as heights.
- Polygon joining midpoints of each class interval.
- Ogive starting from 0, plotting cumulative frequencies.
- Range = \(22 - 5 = 17\).
- Two bars for each class side-by-side.
- Histogram with 4 intervals of width 10.
- Polygon using midpoints of 0, 10, 20, 30.
- Line graph showing monthly trends.
- Cumulative table showing totals after each class.
- Bar chart with 4 fruit bars.
- Modal class: 20–30.
- Pie chart with sector angles: 108°, 90°, 72°, 90°.
- Line graph with rainfall points plotted.
- Histogram with different widths if needed.
- Join class midpoints with lines. <18>Ogive with cumulative frequencies at upper bounds.
- Range = 20 - 5 = 15
- 4 bars for each item.
- Line graph showing changes in attendance.
- Modal class = tallest bar in histogram.
- Sectors of 144°, 108°, 72°, 36°.
- Boundaries: 9.5–20.5 and 19.5–30.5.
- Use midpoints: 5, 15, 25 and plot frequencies.
- Ogive starting from 0 to 80 cumulative total.
- Range = 92 - 48 = 44
- Line graph with fuel price trend.
- Frequency table: 5(1), 8(2), 10(3), 12(1), 15(2), 20(1).
- Histogram with frequencies and polygon connecting midpoints.
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