Question 1: A dual bar chart shows the number of students choosing different sports: Soccer (40 students), Basketball (55 students), and Tennis (30 students). How many more students chose Basketball than Tennis? Show your calculation.

Answer: 25

Question 2: In a dual bar chart comparing two classes, Class A has 28 students who prefer Math and 16 who prefer Science. Class B has 22 students who prefer Math and 24 who prefer Science. Which class has a greater difference between the number of students choosing Math and Science? Show your working.

Answer: Class A difference = 12, Class B difference = 2, so Class A has a greater difference.

Question 3: A dual bar chart displays the number of books read by students in two months: June (70 students) and July (85 students). If 15 students read more books in July than in June, how many students read the same number of books in both months?

Answer: 70 or 85

Question 4: Construct a dual bar chart to compare the number of students passing and failing a test in two classes. Class A: 35 pass, 15 fail; Class B: 40 pass, 10 fail. Which class has a higher overall number of students, and by how many?

Answer: Class A: 50, Class B: 50, so equal overall number of students.

Question 5: A dual bar chart compares the number of pets owned in two neighborhoods: Neighborhood X (60 dogs, 40 cats) and Neighborhood Y (50 dogs, 60 cats). Which neighborhood has a higher total number of pets, and what is the difference?

Answer: Neighborhood X: 100 pets, Neighborhood Y: 110 pets, Y has 10 more.

Question 6: In a dual bar chart, the number of students preferring different subjects are: History (45), Geography (55). Which subject is more popular, and by how many students?

Answer: Geography is more popular by 10 students.

Question 7: A dual bar chart shows two groups’ favorite fruits: Apples (50 students), Bananas (30 students). If a new survey shows 10 students prefer a different fruit, how does that affect the comparison? Explain briefly.

Answer: The total for Apples remains 50, Bananas remains 30; the new fruit's data doesn't affect the comparison between Apples and Bananas.

Question 8: Identify and correct the mistake: A student claims that in a dual bar chart, the longer bar always indicates a larger number of students. Is this true? Justify your answer.

Answer: Not necessarily, because the bars can be scaled differently; always check the scale to determine actual values.

Question 9: Compare the data: Group A has 45 students liking Product 1, 30 liking Product 2. Group B has 50 liking Product 1, 25 liking Product 2. Which group has a higher total preference for these products, and what is the difference?

Answer: Group A: 75, Group B: 75, so equal total preference.

Question 10: Using a dual bar chart, if the number of students preferring each of three sports is given, explain how you can determine which sport is most popular across both groups combined.

Answer: Add the numbers for each sport across both groups; the sport with the highest total is most popular.

Question 11: Evaluate this statement: 'A dual bar chart always shows the exact number of students for each category.' Is this true or false? Explain.

Answer: False. Bars may be scaled proportionally, not necessarily indicating exact numbers unless explicitly labeled.