Data Interpretation and Applied Problem Solving - One Line Questions

1. A table shows the import and export values of a country for the years 2020 and 2021. In 2020, imports were $10 billion and exports were $8 billion. In 2021, imports were $12 billion and exports were $11 billion. What was the trade deficit in 2021? — $1 billion
2. In a pie chart, the angle for 'Education' is 120 degrees. If the total expenditure is $360,000, how much is spent on education? — $120,000
3. A pie chart represents the budget allocation for a project. If the total budget is $1,000,000 and the 'Research' component has an angle of 72 degrees, what is the budget for Research? — $200,000
4. In a line graph depicting the share price of a company over a month, the price on day 5 was $100 and on day 15 was $150. If the price increased linearly, what was the price on day 10? — $125
5. The sales of a product increased by 10% in the first year and 20% in the second year. If the initial sales were $100,000, what were the sales after two years? — $132,000
6. A company's profit over five years is represented by a line graph. If the profit in Year 2 was $10 million and in Year 5 was $25 million, and the growth was linear, what was the profit in Year 3? — $17.5 million
7. In a pie chart showing the expenditure of a household, the angle for 'Rent' is 90 degrees. If the total household expenditure is $24,000, how much is spent on rent? — $6,000
8. A pie chart represents the budget allocation for different departments. If the angle for the 'Marketing' department is 72 degrees, and the total budget is $500,000, what is the budget for Marketing? — $100,000
9. The ratio of profits of Company P and Company Q is 5:7. If the total profit of both companies is $240,000, what is the profit of Company P? — $100,000
10. A line graph shows the profit of a company over the last four quarters. If the profit in Q1 was $50,000 and in Q4 was $170,000, and the profit grew linearly, what was the profit in Q2? — $110,000
11. In a bar graph showing the production of a factory over five years, the bars for Year 1 and Year 3 are 50 units and 75 units respectively. If the production in Year 3 is 25% higher than in Year 1, what is the value of one unit in the bar graph? — 1 unit = 250 products
12. In a data set, the sum of observations is 200 and the number of observations is 10. What is the mean of the data set? — 20
13. A frequency distribution table shows the number of cars sold per day. If the modal class is 10-15 cars, what is the most frequent number of cars sold per day? — Cannot be precisely determined from the modal class
14. The average rainfall in a region for the first four months of a year was 10 cm. If the total rainfall for the first five months was 70 cm, what was the rainfall in the fifth month? — 30 cm
15. A bar graph displays the number of hours spent by students on studying different subjects. If the bars for Math and Science are 80 and 60 units respectively, what is the difference in study hours between Math and Science? — 20 units
16. The percentage distribution of different fruits sold in a market is given in a pie chart. If the sector for apples is 108 degrees, what percentage of fruits sold are apples? — 30%
17. In a table, the monthly expenses of a family are listed. If the total expense for January was $30,000 and for February was $36,000, what is the percentage increase in expenses from January to February? — 20%
18. A pie chart represents the distribution of marks obtained by a student in five subjects: Physics, Chemistry, Biology, Mathematics, and English. If the total marks obtained are 600 and the sector for Mathematics is 120 degrees, what are the marks obtained in Mathematics? — 100
19. The ratio of boys to girls in a school is 3:2. If the total number of students is 500, how many girls are there? — 200
20. A line graph shows the number of units sold by a company each month. If sales in March were 1000 units and in June were 1600 units, and the increase was constant each month, how many units were sold in April? — 1200
21. A pie chart shows the distribution of languages spoken in a country. If the angle for 'Hindi' is 144 degrees, what percentage of the population speaks Hindi? — 40%
22. A histogram shows the frequency of students in different age groups. If the age group with the highest frequency is 15-17 years, what is the modal age group? — 15-17 years
23. A histogram shows the frequency distribution of heights of students in a class. If the class interval with the highest frequency is 160-165 cm, what is the mode of the distribution? — 162.5 cm
24. A bar graph shows the number of people who prefer different modes of transport. If the bar for 'Car' is 60 units high and the bar for 'Bus' is 40 units high, what is the ratio of people preferring cars to buses? — 3:2
25. A bar graph shows the number of students who participated in different sports. If the bar for Cricket is 120 units and for Football is 90 units, what is the difference in the number of participants? — 30 units
26. The number of employees in a company over three years is shown in a bar graph: Year 1 - 200, Year 2 - 250, Year 3 - 300. What is the average number of employees over these three years? — 250
27. A table shows the production (in tons) of a crop over four seasons: Spring - 500, Summer - 800, Autumn - 700, Winter - 300. What is the total production over the four seasons? — 2000 tons
28. A line graph shows the change in temperature over 24 hours. If the temperature at 6 AM was 20°C and at 6 PM was 30°C, and the increase was linear, what was the temperature at 12 PM (noon)? — 25°C
29. The average of 7 numbers is 25. If one number is removed, the average of the remaining 6 numbers is 24. What is the removed number? — 37
30. The average rainfall for a week was 5 cm per day. What was the total rainfall for the week? — 35 cm
31. In a table showing the sales of different products (A, B, C, D) by a company over two quarters (Q1, Q2), the sales of product A in Q1 were $50,000 and in Q2 were $75,000. What is the percentage increase in sales of product A from Q1 to Q2? — 50%
32. In a pie chart, the angle representing 'Travel Expenses' is 180 degrees. What percentage of the total expenses does travel represent? — 50%
33. A bar graph shows the population of five cities. If the bar for City X is 75 units and the bar for City Y is 50 units, and 1 unit represents 10,000 people, what is the difference in population between City X and City Y? — 250,000
34. A line graph shows the daily temperature variation in a city over a week. The temperature on Monday was 25°C and on Friday was 35°C. If the increase in temperature was uniform each day, what was the temperature on Wednesday? — 30°C
35. The marks obtained by a student in five subjects are 70, 80, 60, 90, 100. What is the range of marks? — 40
36. The average age of 5 people is 30 years. If a new person joins the group, the average age becomes 32 years. What is the age of the new person? — 52 years
37. In a data set, the range is 50 and the minimum value is 10. What is the maximum value? — 60
38. In a data set, the mean is 40. If one value, 50, is removed, the new mean becomes 38. What was the original number of observations? — 5
39. A line graph shows the population growth of a city over 20 years. If the population in Year 0 was 100,000 and in Year 20 was 300,000, what was the average annual increase in population? — 10,000
40. A bar graph shows the number of students who passed an exam from three different schools (A, B, C). School A had 200 passes, School B had 250 passes, and School C had 150 passes. What is the total number of passes from all three schools? — 600
41. A table shows the scores of two teams in a series of matches. Team A scored 150, 200, 180. Team B scored 170, 190, 160. What is the total score of Team A? — 530
42. A pie chart shows the market share of different companies. If Company A has a market share of 25% and Company B has 40%, what is the combined market share of Company A and Company B? — 65%
43. A histogram represents the scores of students in an exam. If the tallest bar corresponds to the score range 70-80, what is the mode of the distribution? — Cannot be determined from the mode class
44. A line graph shows the speed of a car over time. If the speed at time t=2 hours was 60 km/h and at t=6 hours was 100 km/h, and the speed increased linearly, what was the speed at t=4 hours? — 80 km/h
45. A line graph shows the distance covered by a train. If the train covers 300 km in 3 hours, what is its average speed? — 100 km/h
46. The sum of the first 'n' natural numbers is given by the formula n(n+1)/2. If the sum of the first 'n' natural numbers is 55, what is the value of 'n'? — 10
47. In a table, the number of male and female employees in different departments is shown. If Department X has 50 males and 40 females, what is the total number of employees in Department X? — 90
48. The median of a data set is 60. If the data set is negatively skewed, what is the likely relationship between the mean, median, and mode? — Mean < Median < Mode
49. In a data set, the mean is 50 and the median is 45. If the data set is skewed, what is the likely direction of the skew? — Positively skewed (right-skewed)
50. A bar graph shows the number of books borrowed from a library over five days. If the total number of books borrowed is 1500, and the average number of books borrowed per day is 300, this information is consistent. — True
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