Statistics – Data Presentation, Mean, Median Quiz - ICSE Class 9 Mathematics

Free practice quiz: Statistics – Data Presentation, Mean, Median (ICSE Class 9 Mathematics). 62 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 9 Mathematics practice quiz has 62 multiple-choice questions on Statistics – Data Presentation, Mean, Median, and 62 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 dataset of 15 numbers has a mean of 75. If one of the numbers, 90, is replaced by 120, what will be the new mean?

   1. 77
   2. 75
   3. 79
   4. 80
   Show answer

   Answer: A. 77

   The sum of the original 15 numbers is 15 * 75 = 1125. When 90 is replaced by 120, the increase in the sum is 120 - 90 = 30. The new sum is 1125 + 30 = 1155. The new mean is 1155 / 15 = 77.

2. The mean of a dataset is 50. If each value in the dataset is increased by 5, what is the new mean?

   1. 50
   2. 55
   3. 45
   4. 52.5
   Show answer

   Answer: B. 55

   When a constant value is added to every number in a dataset, the mean of the new dataset is the original mean plus that constant value. Original mean = 50. Constant added = 5. New mean = 50 + 5 = 55.

3. Which type of graph is most suitable for displaying the proportion of different categories in a whole?

   1. Histogram
   2. Line graph
   3. Bar graph
   4. Pie chart
   Show answer

   Answer: D. Pie chart

   A pie chart is specifically designed to show the proportion of different categories that make up a whole. Each slice represents a category, and the size of the slice is proportional to its share of the total.

4. For the dataset {1, 1, 2, 3, 4, 4, 4, 5, 6}, what is the median?

   1. 3
   2. 4
   3. 3.5
   4. 4.5
   Show answer

   Answer: B. 4

   The dataset is already sorted and contains 9 numbers. The median is the middle number, which is the 5th number. The 5th number is 4.

5. If the median of the dataset {5, 10, 15, 20, 25} is 15, and the number 20 is removed, what is the new median?

   1. 15
   2. 12.5
   3. 10
   4. 17.5
   Show answer

   Answer: B. 12.5

   The original dataset is {5, 10, 15, 20, 25}. The median is 15. When 20 is removed, the dataset becomes {5, 10, 15, 25}. This is a set of 4 numbers. The median is the average of the 2nd and 3rd numbers: (10 + 15) / 2 = 25 / 2 = 12.5.

More questions in this quiz

Answers and explanations are in the full quiz.

1. The median of the dataset {12, 15, 18, 21, 24} is 18. If the number 10 is added to the dataset, what will be the new median?
2. A histogram represents the ages of 50 people. If the tallest bar is in the age group 30-39 and represents 15 people, which of the following is true?
3. Consider the data set: {x, x+2, x+4, x+6, x+8}. If the mean of this data set is 20, what is the median?
4. A pie chart shows the distribution of marks obtained by a student in five subjects: English (75), Maths (90), Science (85), Social Studies (70), and Hindi (80). What is the central angle of the sector representing Maths?
5. The mean of 10 numbers is 50. If one number is removed, the mean of the remaining 9 numbers is 48. What is the value of the removed number?
6. For the dataset {2, 4, 6, 8, 10, 12, 14}, what is the median?
7. A bar graph shows the number of students who scored above 90 in different subjects. The bars for Science and Maths are of equal height, representing 12 students each. This implies:
8. If the mean of the first 'n' natural numbers is 15, what is the value of 'n'?
9. The mean of 5 numbers is 12. If one number is excluded, the mean of the remaining 4 numbers is 11. What is the excluded number?
10. Consider the data set: {23, 15, 30, 18, 25}. If we add the number 20 to this set and then find the median, what will it be?
11. A frequency distribution table shows the number of students in different height ranges. The height range with the highest frequency is called the:
12. The median of the data {5, 8, 10, 15, 18, 20} is 12.5. If the number 7 is added to the dataset, what is the new median?
13. A cumulative frequency graph (ogive) is used to determine which measure of central tendency?
14. In a pie chart representing a budget, the sector for 'Education' has a central angle of 90 degrees. If the total budget is Rs. 72000, how much is allocated to 'Education'?
15. The median of the dataset {10, 20, 30, 40, 50} is 30. If the number 25 is inserted into the dataset, what will be the new median?
16. If the mean of the following numbers is 17: 10, 15, x, 20, 25. What is the value of x?
17. A stem-and-leaf plot shows the scores of 20 students in a test. The highest score is represented by the last entry in the plot. Which of the following can be directly inferred from a stem-and-leaf plot?
18. The mean of 7 numbers is 30. If one number, 40, is removed, what is the new mean of the remaining 6 numbers?
19. For the dataset {15, 18, 20, 22, 25, 28, 30, 32, 35}. What is the median?
20. A line graph shows the sales of a company over 10 years. If the graph shows a steady upward trend, which of the following statements is most likely true?
21. The mean of the first 5 odd numbers is:
22. If the median of the dataset {a, a+2, a+4, a+6, a+8} is 18, what is the value of 'a'?
23. The mean of 12 numbers is 35. If three numbers, 30, 40, and 50, are removed from the dataset, what is the new mean of the remaining 9 numbers?
24. Which of the following is NOT a measure of central tendency?
25. The median of the dataset {7, 2, 5, 8, 3, 9, 4} is:
26. A survey recorded the number of hours students spent on homework per week. The results were: 5, 8, 6, 9, 7, 8, 5, 10, 8, 7. What is the modal number of hours spent on homework?
27. If the mean of a dataset is 25 and the sum of the values is 125, how many values are in the dataset?
28. The median of the data {12, 15, x, 20, 22} is 18. What is the value of x?
29. Which of the following graphs would be most appropriate to show the trend of temperature over a period of 30 days?
30. The mean of 5 numbers is 40. If one number is removed, the mean of the remaining 4 numbers is 35. What is the removed number?
31. Consider the dataset {10, 12, 14, 16, 18, 20}. If the number 11 is added to this dataset, what is the new median?
32. The mode of the dataset {2, 3, 4, 4, 5, 5, 5, 6, 7} is:
33. A scatter plot shows a positive correlation between two variables. What can be inferred from this?
34. The mean of 11 numbers is 50. If one number is removed, the mean of the remaining 10 numbers becomes 48. What is the value of the removed number?
35. A frequency polygon is constructed by joining the midpoints of the tops of the rectangles in a histogram. What does the shape of a frequency polygon represent?
36. The mean of 6 numbers is 20. If one of the numbers, 30, is replaced by 50, what is the new mean?
37. The median of the dataset {5, 7, 9, 11, 13, 15} is 10. If the number 6 is added to this dataset, what is the new median?
38. What does the 'IQR' (Interquartile Range) measure?
39. The mean of the first 8 natural numbers is:
40. If the median of a dataset is 30 and the data is positively skewed, what is the likely relationship between the mean, median, and mode?
41. A histogram shows the frequency of students' scores in a math test. If the bar for scores 70-80 has the highest frequency, this implies that the modal score group is:
42. The mean of a dataset is 25. If each value is multiplied by 3, what is the new mean?
43. The median of the dataset {3, 6, 9, 12, 15, 18} is 10.5. If the number 10 is added to the dataset, what is the new median?
44. Which of the following is a measure of dispersion?
45. The mean of the first 4 even numbers is:
46. In a bar graph comparing the population of different cities, if two bars have the same height, it means:
47. The mean of 3 numbers is 10. If two of the numbers are 8 and 15, what is the third number?
48. What is the median of the dataset {4, 6, 8, 10, 12}?
49. A pie chart represents the expenditure of a family on different items. If the angle of the sector for 'Food' is 120 degrees, and the total expenditure is Rs. 9000, what is the expenditure on 'Food'?
50. The mean of the first 10 positive integers is:
51. The median of the dataset {2, 4, 6, 8, 10, 12} is 7. If the number 14 is added to the dataset, what is the new median?
52. A stem-and-leaf plot is useful for visualizing:
53. The mean of 5 numbers is 18. If one number is removed, the mean of the remaining 4 numbers is 16. What is the removed number?
54. If the median of the dataset {10, 15, 20, x, 30, 35} is 22.5, what is the value of x?
55. A frequency table shows the number of students scoring marks in different ranges. The range with the highest frequency is called the:
56. The mean of the first 'n' odd numbers is n. What is the value of n if the mean is 15?
57. The median of the dataset {10, 20, 30, 40, 50, 60} is 35. If the number 25 is added to the dataset, what will be the new median?

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