Which is the greatest, the mean, the mode, or the median of the data set?11; 11; 12; 12; 12; 12; 13; 15; 17; 21; 21; 21the meanthe mode the median
Question
Which is the greatest, the mean, the mode, or the median of the data set?
Data Set:
11; 11; 12; 12; 12; 12; 13; 15; 17; 21; 21; 21
Options:
- the mean
- the mode
- the median
Solution
First, let's calculate each of these:
-
Mean: This is the average of all the numbers. Add them all up and divide by the number of numbers. (11+11+12+12+12+12+13+15+17+21+21+21) / 12 = 14.75
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Mode: This is the number that appears most frequently. In this data set, the mode is 12, as it appears four times.
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Median: This is the middle number when the numbers are arranged in ascending order. If there is an even number of numbers, the median is the average of the two middle numbers. In this case, the median is 12.
So, the greatest of these three is the mean, which is 14.75.
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