6.4 Average

Mode

The mode is the score that occurs most frequently. For example, the mode in the set {6, 3, 2, 3, 7, 8, 2, 3, 6, 2} is 2, because it occurs 3 times, more time than the other numbers.

In the above histogram example, the mode is the most recurring score.

Here, the most recurring score is 6 secs, which occurs 8 times.

Median

The median is the middle score of a sorted set. For example, the median of 1, 3, 3, 3, 4, 7, 5, 9, 5, 7, 1, 8, 3, 2, 5, 5, 6. First, the set should be arranged from smallest to largest, then the middle selected, i.e. {1, 1, 2, 3, 3, 3, 3, 4, 5, 5, 5, 5, 6, 7, 7, 8, 9}. Of the 17 numbers, the middle is number 8, or the number 4.

Where there are odd number of scores, the median is put down to 1 possibility. However, where there are an even number of scores, the median can have 2 possibilities. The median is the mean of these 2 numbers (the mean is explained below).

Mean

The mean is the mathematical average, calculated by summing up the scores, and dividing by the number of scores. For example, for the set {5, 2, 6, 4, 8, 9, 12, 2}, the mean is calculated as \dfrac{5+2+6+4+8+9+12+2}{8}=\dfrac{48}{8}=6.

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