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3.10
12%
2/17
5.10
18%
3/17
5.16
29%
5/17
5.45
35%
6/17
6.05
0%
0/17
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The median is the value of the 50th percentile. If the data set is arranged in order (3.1, 4.0, 5.1, 5.1, 5.8, 5.9, 6.1, 6.2) the median can be determined to be (5.1 + 5.8)/2 = 5.45. Statistical distributions can be described in terms of mean, median, mode, range, and standard deviation. The median is the value of the 50th percentile. For a sample size of n where n is odd, the median is the [(n+1)/2]th largest value or the value right in the middle of the data set when organized from smallest to largest. When n is even, the median is the average of the (n/2)th and ((n/2)+1)th largest values or the average of the 2 middle numbers in the data set when organized from smallest to largest. Incorrect Answers: Answer 1: 3.10 represents the range where 6.2 - 3.1 = 3.1. This value is calculated by subtracting the largest from the smallest value. Answer 2: 5.10 is the mode as this is the number that occurs most frequently. Answer 3: 5.16 is the mean which is the ([sum of all observations]/[sample size]). Answer 6: 6.05 is the median if incorrectly calculated without reorganizing the list from smallest to largest. Bullet Summary: The median is the 50th percentile data point.
5.0
(5)
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