Mean, Median, Mode and Range

Assignment: 02-Mean Median Mode Range

For this section, I will use the data pictured below. We’ll say this is a student’s scores for 8 tests.

dataRange - the distance between the highest number and the lowest number.  In this set of data those would be 95 and 72.  To find that distance, you find the difference, meaning you subtract.

95 – 72 = 23

The range is 23.

Mean - the average of the numbers.  To find it, you add all of the numbers together and divide by the amount of numbers there were.

85+72+94+85+95+94+85+76=686
686 ÷ 8 = 85.75

The mean is 85.75

Median - the middle number in the set of data.  To find it, you put the numbers in order, and find the one that is the exact middle.  If there are two middle numbers, then you find the mean of those numbers.

72, 76, 85, 8585, 94, 94, 95

In this example there are two middle numbers, 85 and 85.

85 + 85 = 170
170 ÷ 2 = 85

The median is 85.

Mode - the number that occurs the most often. If every number only occurs once, there is no mode.  If several numbers occur the same amount of times, than there can be more than one mode.

72, 76, 858585, 94, 94, 95

In this data, 85 occurs three different times, so 85 is mode.

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