What is the difference between the mean and the median

Posted By Admin @ September 03, 2022

Question:

Describe and explain the difference between the mean, median, and mode.

Make up an example (not in the book or in your lectures) in which the median would be the preferred measure of central tendency.

Answer:

Answer:

Mean, median and mode are measures of central tendency. The median is a better measure of central tendency when the given data contains outliers.

Step-by-step explanation:

Mean, median and mode are all measures of central tendency. These are statistical information that gives the middle or centre of a set of data. Since the values are central, they usually represent the entire distribution.

The mean is the obtained by dividing the sum of all the scores by the number of scores. The median is the middle value when numbers are arranged in increasing or decreasing order of magnitude. The mode is the most frequently occurring score in a distribution.

Let us see an example of the median as a measure of central tendency. Given the set of values; 4, 10, 12, and 26, the median is obtained from the average of the two middle numbers in the set of values which are 10 and 12 as seen from the set of values above. Hence the median of this set of values is 11.

The median can be a very good measure of central tendency, even better than the mean mostly in situations where there are outliers, or extreme values.

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