Concept explainers
Whether is it always, sometimes, or never possible for the mean, median and mode to be equal.
Explanation of Solution
Mean, Median and Mode three different measure central tendencies to represent the data.
Mean is the sum of data values, divided by a number of items in data.
Median is middle value of data arranged in ascending order.
Mode is the number which occurs the most.
Therefore each central tendency has different value depending upon the data available.
However, it is sometimes possible that all 3 measures of central tendencies is equal.
Following condition must be satisfied, for all measure of central tendencies to be equal.
- The average value of the data is equal to the middle value, hence Mean and Median will be equal.
- The value in the Middle, should occurs most of the time in data.
Chapter 13 Solutions
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