Question 1: Draw a bar chart to represent the following data: Students’ favorite fruits - Apples: 20, Bananas: 15, Oranges: 10. Use equal intervals for the y-axis.

Answer: Student's bar chart showing three bars with heights proportional to 20, 15, and 10 respectively.

Question 2: A student draws a bar chart for the data: 12, 8, 5, 3, but accidentally swaps the heights of the bars for 12 and 3. Identify and correct the mistake in the drawing.

Answer: The bar for 12 should be the tallest; the bar for 3 should be the shortest. Correct the heights accordingly.

Question 3: Construct a bar chart to show the following data: Number of books read last month - Fiction: 18, Non-fiction: 12, Comics: 7. Ensure the scales are consistent.

Answer: A bar chart with three bars, scaled proportionally to the data, with consistent intervals on the y-axis.

Question 4: Explain why a bar chart with uneven intervals on the y-axis can be misleading. Provide an example scenario.

Answer: Uneven intervals can exaggerate or downplay differences in data. For example, if the y-axis jumps from 0 to 10 and then 20, a small difference between two categories might look larger than it truly is.

Question 5: A bar chart shows the following data: 5, 7, 9, 11, 13. Draw the chart and identify any common mistakes students might make when drawing this data.

Answer: A bar chart with increasing bar heights. Mistakes include inconsistent spacing, incorrect scaling, or misaligned bars.

Question 6: A student draws a bar chart where the heights of the bars do not correspond to the data values. What could be the reason? How can this mistake be avoided?

Answer: Possible reason: incorrect scaling or misreading the data. To avoid, double-check the scale and use consistent intervals.

Question 7: Given the data: 14, 22, 18, 26, 20, draw a bar chart. After drawing, identify a common misconception related to bar width versus height.

Answer: Misconception: students might make all bars the same width, which is correct, but should ensure the height accurately reflects the data. Widths should be consistent; only heights vary.

Question 8: A bar chart appears to show a larger difference between categories than the actual data suggests. What drawing error could cause this?

Answer: Incorrect scaling, such as using uneven intervals or exaggerated differences on the y-axis, can mislead interpretation.

Question 9: Construct a bar chart to represent the data: 9, 15, 12, 20. Use proper scale and intervals.

Answer: A bar chart with proportional heights for 9, 15, 12, 20, scaled appropriately with consistent intervals.

Question 10: Identify and correct the error in this student-drawn bar chart: The data is 8, 12, 16, 20, but the bars for 8 and 20 are both the same height.

Answer: The student incorrectly drew the bars for 8 and 20 at the same height. Correct the height of the 20 bar to be the tallest according to the data.