How to Calculate the Mean Deviation from the Median of a Data Set
Learn how to find the mean deviation from the median for the data set 70, 38, 34, 48, 42, 55, 63, 46, and 44 with step-by-step calculation.
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The mean deviation from the median of the data set 70, 38, 34, 48, 42, 55, 63, 46, 44 is 9.33. The median is 46. Calculating the absolute differences from the median for each value, summing these differences (84), and dividing by the number of values (9) yields approximately 9.33.
FAQs & Answers
- What is mean deviation in statistics? Mean deviation is the average of the absolute differences between each data value and a central measure such as the mean or the median, indicating data dispersion.
- How do you find the median of a data set? To find the median, arrange the data in ascending order and identify the middle value; if there is an even number of values, the median is the average of the two middle numbers.
- Why use median instead of mean for calculating mean deviation? Using the median reduces the impact of extreme values (outliers) and provides a better measure of central tendency for skewed data when calculating mean deviation.
- How is mean deviation different from standard deviation? Mean deviation averages absolute differences from a central value, while standard deviation squares differences, giving more weight to larger deviations.