Measures of Central Tendency Quiz - CBSE Class 11 Mathematics

Free practice quiz: Measures of Central Tendency (CBSE Class 11 Mathematics). 19 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 11 Mathematics practice quiz has 19 multiple-choice questions on Measures of Central Tendency, and 19 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. Find the mean of the data set: 2, 4, 6, 8, 10.

   1. 4
   2. 6
   3. 8
   4. 10
   Show answer

   Answer: B. 6

   Add all the numbers and divide by the count of numbers: (2+4+6+8+10)/5 = 6

2. Find the mean of the data set: 10, 12, 14, 16, 18, 20.

   1. 13
   2. 14
   3. 15
   4. 16
   Show answer

   Answer: C. 15

   Sum of the numbers is 90. Divided by 6 (number of elements) gives 15.

3. Calculate the mean, median, and mode for the following data set: 10, 12, 10, 15, 12, 18, 10, 12, 15, 12.

   1. Mean=12.7, Median=12, Mode=12
   2. Mean=12, Median=12, Mode=12
   3. Mean=13, Median=12.5, Mode=10
   4. Mean=12.5, Median=12, Mode=12
   Show answer

   Answer: A. Mean=12.7, Median=12, Mode=12

   Mean = 127/10=12.7; Arrange data: 10,10,10,12,12,12,12,15,15,18. Median = (12+12)/2 = 12; Mode = 12 (appears most)

4. In a negatively skewed distribution, which of the following relationships between mean, median, and mode is generally true?

   1. Mean > Median > Mode
   2. Mode > Median > Mean
   3. Median > Mean > Mode
   4. Mean > Mode > Median
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   Answer: B. Mode > Median > Mean

   In a negatively skewed distribution, the tail extends to the left. The mode is typically the largest, followed by the median, and then the mean.

5. How would you determine the appropriate measure of central tendency for a dataset with a large number of outliers and a bimodal distribution?

   1. Use the mean exclusively
   2. Use the median exclusively
   3. Use both the median and mode
   4. Use the range as the measure of central tendency
   Show answer

   Answer: C. Use both the median and mode

   Neither mean nor median alone is sufficient. Median describes the central tendency, while mode indicates the two most common values.

More questions in this quiz

Answers and explanations are in the full quiz.

1. What is the median of the data set: 1, 3, 5, 7, 9?
2. Calculate the mode of the data set: 2, 2, 3, 4, 4, 4, 5, 6.
3. The mode of a data set is 12. What does this mean?
4. Find the median of the data set: 1, 5, 2, 8, 3, 9, 4, 7, 6.
5. A data set has a mean of 15 and a median of 12. What can you conclude?
6. Explain the difference between mean, median, and mode, and give an example where they differ significantly.
7. A dataset has a mean of 25, a median of 20, and a mode of 15. Which measure of central tendency is most representative of the data, and why?
8. Data Set A: {10, 12, 14, 16, 18}; Data Set B: {10, 11, 12, 13, 28}. Both data sets have the same mean. Which set has a larger standard deviation?
9. The following data set represents the scores of students in a test: {50, 60, 70, 80, 90, 90, 90, 100}. Calculate the mean, median, and mode, and determine if the data is skewed and, if so, in what direction.
10. A researcher is studying the income levels of a particular community. Which measure of central tendency would be most appropriate if there are a few high-income earners that significantly skew the data?
11. Consider a dataset representing the number of hours students study per week. The mean is 10 hours, median is 8 hours, and mode is 6 hours. What does this indicate about the distribution of study hours?
12. Explain the limitations of using only the mean to represent the central tendency of a dataset and when it might be misleading.
13. A dataset contains the ages of participants in a study. The dataset shows a significant positive skew due to the inclusion of a small number of very old participants. Discuss the suitability of different measures of central tendency in this context, justifying your choice.
14. In what scenario would the mode be the most appropriate measure of central tendency, even if the mean and median provide different values?

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