Data Handling (Graphs, Pie Charts, Histograms) Quiz - ICSE Class 8 Mathematics

Free practice quiz: Data Handling (Graphs, Pie Charts, Histograms) (ICSE Class 8 Mathematics). 67 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 8 Mathematics practice quiz has 67 multiple-choice questions on Data Handling (Graphs, Pie Charts, Histograms), and 67 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. A pie chart represents a whole circle divided into sectors. If the total angle of the circle is 360 degrees, and a particular sector represents 25% of the data, what is the angle of that sector?

   1. 72 degrees
   2. 90 degrees
   3. 108 degrees
   4. 144 degrees
   Show answer

   Answer: B. 90 degrees

   25% of the total 360 degrees is (25/100) * 360 = 0.25 * 360 = 90 degrees. Thus, the angle of the sector representing 25% of the data is 90 degrees.

2. A pie chart shows the sources of energy for a country. If the sector for 'Coal' is 150 degrees and the sector for 'Oil' is 90 degrees, what percentage of the total energy comes from Coal and Oil combined?

   1. 50%
   2. 60%
   3. 66.7%
   4. 75%
   Show answer

   Answer: C. 66.7%

   The combined angle for Coal and Oil is 150 degrees + 90 degrees = 240 degrees. The percentage of total energy from these two sources is (240/360) * 100% = (2/3) * 100% = 66.67%, which is approximately 66.7%.

3. Consider a histogram showing the number of students who passed a test in different subjects. If the bars are of unequal width, the frequency of a subject is proportional to the:

   1. Height of the bar
   2. Width of the bar
   3. Area of the bar
   4. Sum of height and width
   Show answer

   Answer: C. Area of the bar

   When class intervals (widths of bars) are unequal in a histogram, the frequency is represented by the area of the bar, not just the height. The area of a bar is calculated as Height × Width. Therefore, if the area represents frequency, and width varies, the height is adjusted (frequency density) such that Area = Frequency.

4. In a histogram, the vertical axis typically represents the:

   1. Class interval
   2. Frequency
   3. Cumulative frequency
   4. Mean of the interval
   Show answer

   Answer: B. Frequency

   In a standard histogram, the vertical axis (y-axis) represents the frequency (or frequency density) of the data falling within each class interval shown on the horizontal axis (x-axis).

5. In a pie chart, if one sector has a central angle of 36 degrees, what percentage of the total does this sector represent?

   1. 5%
   2. 10%
   3. 15%
   4. 20%
   Show answer

   Answer: B. 10%

   To find the percentage, divide the sector's angle by the total degrees in a circle and multiply by 100: (36 degrees / 360 degrees) * 100% = (1/10) * 100% = 10%.

More questions in this quiz

Answers and explanations are in the full quiz.

1. In a histogram, the bars are typically:
2. A survey of 200 students found their favorite colors. The results are shown in a pie chart. If 40 students chose blue, what is the angle of the sector representing blue in the pie chart?
3. A histogram shows the number of students who scored within certain ranges in an exam. The x-axis represents the scores, and the y-axis represents the frequency (number of students). If a bar for the score range 60-70 has a height of 15, what does this height indicate?
4. In a pie chart showing the distribution of fruits in a basket, the sector for apples has a central angle of 120 degrees. If there are 30 apples in the basket, what is the total number of fruits in the basket?
5. A histogram displays the heights of students in a class. The class intervals are 140-145 cm, 145-150 cm, 150-155 cm, etc. If the bar for the interval 150-155 cm has a width of 5 units on the x-axis, what does this width represent?
6. The sum of the central angles of all sectors in a pie chart must be:
7. Which of the following graphs is best suited to show the comparison of parts to a whole, where the parts are represented as percentages or fractions?
8. A histogram shows the distribution of marks obtained by students in a test. If the bars for the intervals 0-10, 10-20, 20-30, and 30-40 have frequencies 5, 12, 8, and 3 respectively, what is the total number of students who scored less than 40?
9. A pie chart shows the monthly expenditure of a family. If the expenditure on 'Rent' is 30% of the total expenditure, and the total expenditure is ₹40,000, how much is spent on rent?
10. In a histogram, if the class intervals are of unequal width, how is the height of the bar calculated to represent the frequency accurately?
11. A pie chart shows the favorite subjects of 180 students. If the sector for Mathematics has a central angle of 80 degrees, how many students chose Mathematics as their favorite subject?
12. What does the area of a bar in a histogram represent?
13. A histogram represents the daily rainfall in a city over 30 days. The class intervals are 0-5 mm, 5-10 mm, 10-15 mm, 15-20 mm. If the frequencies are 10, 8, 6, and 4 respectively, which class interval has the highest frequency?
14. If a pie chart represents the sales of different products, and the sector for 'Product A' is 72 degrees, what percentage of the total sales does Product A account for?
15. What type of data is best represented by a histogram?
16. In a pie chart showing the distribution of votes, if one candidate received 1/4 of the votes, what is the central angle of the sector representing that candidate?
17. A histogram shows the number of cars sold per day over a week. The x-axis represents the number of cars sold (0-5, 5-10, 10-15, 15-20), and the y-axis represents the number of days. If the frequency for 10-15 cars sold is 3, and the frequency for 15-20 cars sold is 2, what is the total number of days cars sold were between 10 and 20 (inclusive of 10, exclusive of 20)?
18. A pie chart shows that 45% of a budget is allocated to 'Education'. If the total budget is ₹2,00,000, how much money is allocated to Education?
19. In a histogram, the width of the bars represents the:
20. A pie chart shows the results of a survey on favorite fruits. If the sector for 'Mangoes' is 90 degrees and the sector for 'Apples' is 72 degrees, what is the ratio of students who prefer Mangoes to those who prefer Apples?
21. Which of these is a key characteristic of a histogram that distinguishes it from a bar graph?
22. A survey of 360 people found their favorite sports. If 90 people chose cricket, 72 chose football, and the rest chose hockey, what is the central angle for hockey in a pie chart representing this data?
23. A histogram displays the frequency distribution of the ages of people in a park. The age groups are 0-10, 10-20, 20-30, 30-40 years. If the bars have heights 15, 20, 12, and 8 respectively, which age group has the highest number of people?
24. In a pie chart, if the sector for 'Savings' represents 18% of the total money saved, and the total money saved is ₹50,000, how much money is saved as 'Savings'?
25. A pie chart shows the percentage of votes received by four candidates: A, B, C, and D. Candidate A received 30% of the votes, Candidate B received 25%, Candidate C received 20%, and Candidate D received the remaining votes. What is the central angle for Candidate D's sector?
26. A histogram represents the number of students who scored marks in different ranges in an examination. The class intervals are 0-10, 10-20, 20-30, 30-40, 40-50. If the frequencies are 5, 15, 25, 20, 10 respectively, what is the total number of students who scored 20 or more marks?
27. A pie chart shows the proportion of different types of vehicles sold in a month. If the sector for 'Cars' is 180 degrees and the sector for 'Motorcycles' is 90 degrees, what percentage of the total vehicles sold were 'Cars'?
28. Which graph is used to represent the frequency distribution of continuous data grouped into intervals?
29. The pie chart shows the breakdown of a monthly salary. If the 'Rent' sector has a central angle of 120 degrees and represents ₹10,000, what is the total monthly salary?
30. In a histogram, if the bars for consecutive intervals are touching, what does it imply about the data?
31. A survey on preferred modes of transport resulted in a pie chart. If 72 degrees of the pie chart represents 'Bus' and 108 degrees represents 'Train', what is the combined percentage of people who prefer Bus or Train?
32. A histogram shows the number of students who participated in sports. The categories are athletics, swimming, football, and basketball. If the bars for these categories have heights 20, 15, 25, and 18 respectively, which sport had the most participants?
33. If a pie chart represents the budget allocation for a school, and 'Salaries' constitutes 40% of the budget, what is the central angle for the 'Salaries' sector?
34. A histogram is used to display data such as:
35. A pie chart shows the favorite colors of 200 people. If 20% of people chose 'Red' and 15% chose 'Blue', what is the combined percentage of people who chose Red or Blue?
36. If a histogram has class intervals 5-10, 10-15, 15-20, and the frequencies are 8, 12, and 7 respectively, what is the total frequency?
37. A pie chart shows that 1/6 of a budget is spent on 'Transport'. If the total budget is ₹60,000, how much is spent on transport?
38. A pie chart shows the percentage of students who prefer different subjects. If 'Science' accounts for 30% of the students, what is the central angle of the sector representing Science?
39. Which of the following statements about histograms is FALSE?
40. A pie chart shows the expenditure on different items. If 'Food' accounts for 150 degrees and 'Clothing' accounts for 72 degrees, what percentage of the total expenditure is on 'Food'?
41. A histogram shows the number of students who scored between 0-10, 10-20, 20-30, 30-40 marks. The frequencies are 5, 12, 8, 5. What is the mode class of this distribution?
42. If a pie chart shows that 1/4 of a population uses public transport, 1/2 uses private vehicles, and the rest uses cycles. What is the percentage of people who use cycles?
43. In a histogram, the class intervals are 10-20, 20-30, 30-40. If the frequencies are 15, 25, 10. What is the total number of data points?
44. A pie chart shows the number of hours spent by a student on different activities. If 'Study' accounts for 120 degrees and 'Sports' accounts for 60 degrees, what is the ratio of hours spent studying to hours spent playing sports?
45. When representing data with a histogram, if the class intervals are very wide, what is likely to happen to the graph?
46. In a pie chart representing the budget of a city, if 'Infrastructure' has a sector of 90 degrees, what percentage of the budget is allocated to Infrastructure?
47. Which of the following is NOT a property of a histogram?
48. A pie chart shows the proportion of different types of trees in a forest. If 'Oak' trees constitute 25% of the total trees, and there are 500 trees in total, how many Oak trees are there?
49. Consider a histogram showing the number of days with a certain temperature. If the temperature ranges are 0-5°C, 5-10°C, 10-15°C, 15-20°C, and the frequencies are 7, 14, 10, 6. What is the modal temperature range?
50. What is the primary purpose of grouping data into intervals when constructing a histogram?
51. A pie chart shows the distribution of students in different grades. If Grade 8 has 20% of the students, and the total number of students is 400, how many students are in Grade 8?
52. If a histogram displays the frequency of scores from 0 to 100, and the intervals are 0-10, 10-20, ..., 90-100, what does the interval 50-60 represent?
53. A pie chart shows that 'Housing' accounts for 30% of a family's expenditure. If the total monthly expenditure is ₹50,000, how much is spent on housing?
54. A histogram depicts the ages of participants in a workshop. The age groups are 20-30, 30-40, 40-50, 50-60. If the frequencies are 18, 22, 15, 10. What is the total number of participants?
55. If a pie chart shows that 'Entertainment' accounts for 1/4 of a person's monthly spending, and the total spending is ₹20,000, how much is spent on entertainment?
56. In a histogram, what does the term 'frequency density' refer to when dealing with unequal class intervals?
57. A pie chart shows the number of books borrowed from a library. If 'Fiction' books represent 30% of the total, and 'Non-Fiction' books represent 40%, what is the combined percentage of Fiction and Non-Fiction books?
58. A histogram displays the results of a survey on the number of pets owned by people. The intervals are 0-1, 1-2, 2-3, 3-4 pets. If the frequencies are 15, 25, 10, 5. What is the modal number of pets?
59. If a pie chart shows that 36 degrees is allocated to 'Travel' and the total budget is ₹100,000, what amount is allocated to 'Travel'?
60. Which type of graph is most suitable for showing the change in temperature over a week?

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