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Measures of Central Tendency (Average) Video Lecture | Zoology Optional Notes for UPSC

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1. What are the three main measures of central tendency?
Ans. The three main measures of central tendency are the mean, median, and mode. The mean is the average of all the values in a data set, the median is the middle value when the data is arranged in ascending or descending order, and the mode is the value that appears most frequently in the data set.
2. How is the mean calculated for a data set?
Ans. The mean is calculated by adding up all the values in a data set and then dividing by the total number of values. Mathematically, the formula for calculating the mean is: mean = sum of all values / total number of values.
3. When is the median a better measure of central tendency than the mean?
Ans. The median is a better measure of central tendency than the mean when there are extreme values, outliers, or skewed data in the data set. The median is not affected by extreme values, making it a more robust measure of central tendency in such cases.
4. Can a data set have more than one mode?
Ans. Yes, a data set can have more than one mode. If two or more values appear with the same highest frequency in the data set, then the data set is considered to have multiple modes.
5. How is the mode determined for a grouped frequency distribution?
Ans. In a grouped frequency distribution, the mode is the value in the class interval with the highest frequency. If there are two class intervals with the same highest frequency, then the data set is considered to have a multimodal distribution.
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