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Measures of Central Tendency and Dispersion, Business Mathematics & Statistics Video Lecture | Business Mathematics and Statistics - B Com
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FAQs on Measures of Central Tendency and Dispersion, Business Mathematics & Statistics Video Lecture - Business Mathematics and Statistics - B Com
| 1. What are the measures of central tendency? |  |
Ans. Measures of central tendency are statistical measures that represent the center or average of a data set. The three commonly used measures of central tendency are mean, median, and mode. The mean is calculated by summing all the values in the data set and dividing by the number of values. The median is the middle value when the data set is arranged in ascending or descending order. The mode is the value that appears most frequently in the data set.
| 2. How do you calculate the mean? | |
Ans. To calculate the mean, you need to sum all the values in the data set and then divide it by the number of values. For example, if you have a data set with values 2, 4, 6, 8, and 10, you would add them together (2 + 4 + 6 + 8 + 10 = 30) and divide by the number of values (5). Therefore, the mean is 30/5 = 6.
| 3. What is the median and how do you find it? | |
Ans. The median is the middle value in a data set when it is arranged in ascending or descending order. To find the median, you first need to arrange the data set in order. If the number of values is odd, the median is the middle value. If the number of values is even, the median is the average of the two middle values. For example, if you have a data set with values 2, 4, 6, 8, and 10, when arranged in ascending order, the median is 6.
| 4. How is the mode calculated? | |
Ans. The mode is the value that appears most frequently in a data set. To calculate the mode, you need to identify which value appears the most. If there are multiple values that occur with the same highest frequency, the data set is considered multimodal. If there is no value that appears more than once, the data set is considered to have no mode.
| 5. What is the measure of dispersion and how is it calculated? | |
Ans. The measure of dispersion is a statistical measure that indicates the spread or variability of a data set. It provides information about how the values are distributed around the central tendency. The commonly used measures of dispersion are range, variance, and standard deviation. The range is calculated by subtracting the smallest value from the largest value in the data set. The variance is the average of the squared differences between each value and the mean. The standard deviation is the square root of the variance.
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Dec 23, 2024 Last updated |
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