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.
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Find the mean of the data set: 2, 4, 6, 8, 10.
- 4
- 6
- 8
- 10
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Answer: B. 6
Add all the numbers and divide by the count of numbers: (2+4+6+8+10)/5 = 6
Find the mean of the data set: 10, 12, 14, 16, 18, 20.
- 13
- 14
- 15
- 16
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Answer: C. 15
Sum of the numbers is 90. Divided by 6 (number of elements) gives 15.
Calculate the mean, median, and mode for the following data set: 10, 12, 10, 15, 12, 18, 10, 12, 15, 12.
- Mean=12.7, Median=12, Mode=12
- Mean=12, Median=12, Mode=12
- Mean=13, Median=12.5, Mode=10
- Mean=12.5, Median=12, Mode=12
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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)
In a negatively skewed distribution, which of the following relationships between mean, median, and mode is generally true?
- Mean > Median > Mode
- Mode > Median > Mean
- Median > Mean > Mode
- 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.
How would you determine the appropriate measure of central tendency for a dataset with a large number of outliers and a bimodal distribution?
- Use the mean exclusively
- Use the median exclusively
- Use both the median and mode
- Use the range as the measure of central tendency
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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.