Statistics – Measures of Central Value (Mean, Median, Mode) Quiz - ICSE Class 11 Economics

Free practice quiz: Statistics – Measures of Central Value (Mean, Median, Mode) (ICSE Class 11 Economics). 58 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 11 Economics practice quiz has 58 multiple-choice questions on Statistics – Measures of Central Value (Mean, Median, Mode), and 58 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. For a dataset with n observations, if the sum of the observations is S, what is the formula for the arithmetic mean?

   1. S - n
   2. S / n
   3. S * n
   4. n / S
   Show answer

   Answer: B. S / n

   The arithmetic mean is defined as the sum of all observations divided by the number of observations. Therefore, if S is the sum and n is the number of observations, the mean is S/n.

2. For a dataset {1, 1, 2, 3, 3, 3, 4}, what is the mode?

   1. 1
   2. 2
   3. 3
   4. 4
   Show answer

   Answer: C. 3

   The number 3 appears three times, which is more frequent than any other number in the dataset. Hence, the mode is 3.

3. Which of the following statements is true about the mean?

   1. It is resistant to outliers.
   2. It is the middle value of a dataset.
   3. It is the most frequent value in a dataset.
   4. It is calculated by summing all values and dividing by the number of values.
   Show answer

   Answer: D. It is calculated by summing all values and dividing by the number of values.

   The definition of the arithmetic mean is the sum of all observations divided by the count of observations. The other options describe the median and mode, or a property (resistance to outliers) that the mean does not possess.

4. Which measure of central tendency is most appropriate for the following data: {Apple, Banana, Apple, Orange, Banana, Apple}?

   1. Mean
   2. Median
   3. Mode
   4. Range
   Show answer

   Answer: C. Mode

   This is categorical data. The mode, representing the most frequent category, is the most suitable measure of central tendency. Here, 'Apple' is the mode.

5. If a dataset is {5, 10, 15, 20, 25, 30, 35}, what is the median?

   1. 15
   2. 20
   3. 25
   4. 30
   Show answer

   Answer: B. 20

   The dataset is ordered: {5, 10, 15, 20, 25, 30, 35}. There are 7 observations (odd). The median is the middle value, which is the 4th observation, 20.

More questions in this quiz

Answers and explanations are in the full quiz.

1. Consider the following dataset: {2, 5, 3, 8, 5, 2, 5}. What is the mode of this dataset?
2. When is the median the most appropriate measure of central tendency for a dataset?
3. If a dataset has an even number of observations, how is the median calculated?
4. Which measure of central tendency is calculated by summing all values and dividing by the count of values?
5. In a positively skewed distribution, which of the following relationships between mean, median, and mode is typically observed?
6. Consider the dataset: {10, 20, 30, 40, 50}. What is the mean of this dataset?
7. What is the median of the dataset: {15, 10, 25, 30, 20}?
8. Which of the following is NOT a measure of central value?
9. If all values in a dataset are increased by a constant 'k', how does the median change?
10. Which measure of central tendency is sensitive to every value in the dataset?
11. What is the median of the dataset {7, 2, 5, 1, 9, 6, 3, 8}?
12. If a dataset is perfectly symmetrical, which of the following statements is true?
13. Which measure of central tendency is often used for categorical data?
14. Consider a dataset where the sum of deviations of each observation from the mean is zero. This property is characteristic of which measure of central tendency?
15. If a dataset contains the values {3, 6, 9, 12, 15}, what is the median?
16. What is the mode of the dataset {2, 4, 6, 2, 4, 2, 8}?
17. Which measure of central tendency is calculated as the middle value when the data is arranged in order?
18. Consider a dataset that is negatively skewed (tail towards the left). What is the typical relationship between mean, median, and mode?
19. If a dataset has identical values for all observations, what are the mean, median, and mode?
20. Which measure of central tendency is represented by the highest point on a frequency distribution curve?
21. For the dataset {1, 2, 3, 4, 5, 6}, what is the median?
22. In a dataset {5, 5, 5, 10, 10, 15}, what is the mode?
23. If a dataset is {100, 10, 50, 20, 80}, what is the median?
24. Which measure of central tendency is least affected by extreme values?
25. For the dataset {2, 2, 4, 4, 6, 6}, what is the mean?
26. If a dataset has two modes, it is called:
27. Consider the dataset: {10, 20, 30, 30, 40, 50}. What is the median?
28. If all values in a dataset are multiplied by a constant 'k', how does the mean change?
29. Which measure of central value is the geometrical average of a set of numbers?
30. What is the sum of deviations of all values in a dataset from their mean?
31. In a dataset {3, 5, 7, 7, 7, 9, 11}, what is the median?
32. If a dataset is {15, 25, 35, 45}, what is the mean?
33. For a dataset {8, 4, 12, 6, 10}, what is the median?
34. If a dataset has no repeated values, what is its mode?
35. Which property is NOT generally true for the median?
36. Consider the dataset {7, 7, 7, 7, 7}. What is the mean?
37. What is the median of the dataset {4, 8, 2, 10, 6, 12}?
38. Which measure of central tendency is the most robust to skewed data?
39. If a dataset is {1, 3, 5, 7, 9}, what is the mode?
40. What is the sum of the values in a dataset if the mean is 25 and there are 10 observations?
41. Consider a dataset: {20, 10, 30, 10, 40, 10}. What is the median?
42. What does the mode represent in a statistical distribution?
43. Which measure of central tendency is the sum of the values divided by the count of the values?
44. For the dataset {10, 20, 30, 40, 50}, what is the median?
45. If a dataset has values {3, 3, 5, 5, 7, 7}, what is the mode?
46. Which measure of central tendency is most sensitive to outliers?
47. Consider the dataset {10, 20, 20, 30, 40}. What is the median?
48. If a dataset is {2, 4, 6, 8, 10}, what is the mean?
49. What is the mode of the dataset {5, 10, 15, 20, 25}?
50. If a dataset has an odd number of observations, the median is:
51. Which of the following statements about the mean is NOT always true?
52. For the dataset {1, 2, 3, 4, 5}, what is the median?
53. If a dataset is {10, 10, 20, 30, 30, 30, 40}, what is the mode?

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