To find: the measurement of central tendency best represents the data found.
Answer to Problem 21HP
Median is the best central tendency to represent the data.
Explanation of Solution
Let’s consider the marks of 7 students in an English test out of 20 are given below:
15, 13, 18, 16, 14, 2, 12
Let’s sort the dataset in ascending order:
2, 12, 13, 14, 15, 16, 18
Below explanation will help you to understand which measure of central tendency would be most appropriate under different conditions.
Mean: Data have no extreme value
Median: Data have extreme value and there is no big gap in the mid of the data.
Mode: Many repetitive values in the data.
Since there is no mode and one extreme value in the data, hence as per explanation Median is the best central tendency to represent the data.
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