Quiz
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Mean: 3
Median: 3 14
Mode: 3 12
Best Measure of Center: See solution.
We want to find the mean, median and mode of the given data set, as well as determine which of them best represents the given data.
Mean: 18/6=3
When the data are arranged in numerical order, the median is the middle value — or the mean of the two middle values — in a set of data. Let's arrange the given values and find the median. 12, 2 12, 3 | 3 12, 3 12, 5 Since there are 6 values, there is no one middle value. Therefore, for this exercise, the median is the mean of the two middle values. Median: 3+ 3 12/2=3 14
The mode is the value or values that appear most often in a set of data. Let's find the mode of the given values. 3 12+5+2 12+ 3+3 12+ 12 The value that appears most often is 3 12. Mode: 3 12
The median best represents the given data set because there are exactly as many values less than and greater than the median. There is only 1 value greater than the mode and only 2 values less than the mean. Therefore, both mode and mean are worse representations of the data than the median.