Concept explainers
To find: How mean, median, and mode describe the central tendency of a data set and why these three different measures needed.
Explanation of Solution
Given information:
Mean, median, and mode describe the central tendency of a data set.
Calculation:
Central tendency of a data set gives approximate summary of a data set. There are three different measure of central tendency of a data set.
Mean: Mean of a data set is defined as
Median: When data set is arranged in an order, the middle data value would be the median. In case of even number of data values, the mean of two middle data value equals the median.
Mode: The mode is the data item that occurs the most of time.
Mean is the best measure of central tendency in case there is no outlier in the data set. In case of outliers, median would be the best measure. Mode is used when data is non-numeric or when choosing the most popular item.
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