STATISTICS REVISION QUESTIONS WITH ANSWERS

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:
\( \begin{array}{|c|c|} \hline \text{Class Interval} & \text{Frequency} \\ \hline 10-20 & 2 \\ \hline 20-30 & 5 \\ \hline 30-40 & 7 \\ \hline 40-50 & 6 \\ \hline \end{array} \)

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:
\( \begin{array}{|c|c|} \hline \text{Interval} & \text{Frequency} \\ \hline 1-5 & 3 \\ \hline 5-9 & 7 \\ \hline 9-13 & 10 \\ \hline 13-17 & 5 \\ \hline \end{array} \)

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:

1. Bar chart with 5 bars for each class.
2. Line graph connecting 7 points for each day.
3. Histogram with five class intervals and frequencies as heights.
4. Polygon joining midpoints of each class interval.
5. Ogive starting from 0, plotting cumulative frequencies.
6. Range = \(22 - 5 = 17\).
7. Two bars for each class side-by-side.
8. Histogram with 4 intervals of width 10.
9. Polygon using midpoints of 0, 10, 20, 30.
10. Line graph showing monthly trends.
11. Cumulative table showing totals after each class.
12. Bar chart with 4 fruit bars.
13. Modal class: 20–30.
14. Pie chart with sector angles: 108°, 90°, 72°, 90°.
15. Line graph with rainfall points plotted.
16. Histogram with different widths if needed.
17. Join class midpoints with lines.
<18>Ogive with cumulative frequencies at upper bounds.
18. Range = 20 - 5 = 15
19. 4 bars for each item.
20. Line graph showing changes in attendance.
21. Modal class = tallest bar in histogram.
22. Sectors of 144°, 108°, 72°, 36°.
23. Boundaries: 9.5–20.5 and 19.5–30.5.
24. Use midpoints: 5, 15, 25 and plot frequencies.
25. Ogive starting from 0 to 80 cumulative total.
26. Range = 92 - 48 = 44
27. Line graph with fuel price trend.
28. Frequency table: 5(1), 8(2), 10(3), 12(1), 15(2), 20(1).
29. Histogram with frequencies and polygon connecting midpoints.