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• MEAN, MEDIAN, AND MODE ARE ALL TYPES OF
AVERAGES. TOGETHER WITH RANGE, THEY
EXPLANATI HELP DESCRIBE THE DATA. DEFINITIONS: MEAN -
ON & WHEN PEOPLE SAY "AVERAGE" THEY USUALLY
ARE TALKING ABOUT THE MEAN. YOU CAN
DEFINITION FIGURE OUT THE MEAN BY ADDING UP ALL THE
NUMBERS IN THE DATA AND THEN DIVIDING BY
THE NUMBER OF NUMBERS.
EXPLANATI • THE MEDIAN IS THE VALUE SEPARATING THE HIGHER
HALF OF A DATA SAMPLE, A POPULATION OR A
ON MEDIAN PROBABILITY DISTRIBUTION FROM THE LOWER HALF.
IN SIMPLE TERMS, IT MAY BE THOUGHT OF AS THE
"MIDDLE" VALUE OF A DATA SET. FOR EXAMPLE, IN
THE DATA SET {1, 3, 3, 6, 7, 8, 9}, THE MEDIAN IS 6,
THE FOURTH NUMBER IN THE SAMPLE. THE MEDIAN
IS A COMMONLY USED MEASURE OF THE PROPERTIES
OF A DATA SET IN STATISTICS AND PROBABILITY
THEORY.
HOW TO CALCULATE
THE MEAN
•THE MEAN
•WHEN PEOPLE TALK ABOUT STATISTICAL
AVERAGES, THEY ARE REFERRING TO THE MEAN.
TO CALCULATE THE MEAN, SIMPLY ADD ALL OF
YOUR NUMBERS TOGETHER. NEXT, DIVIDE THE
SUM BY HOWEVER MANY NUMBERS YOU ADDED.
THE RESULT IS YOUR MEAN OR AVERAGE SCORE
For example, let's say you have four test scores: 15,
18, 22, and 20. To find the average, you would first
add all four scores together, then divide the sum by
four. The resulting mean is 18.75. Written out, it
looks something like this:
(15 + 18 + 22 + 20) / 4 = 75 / 4 = 18.75
HOW TO CALCULATE THE MEDIAN
• THE MEDIAN
• THE MEDIAN IS THE MIDDLE VALUE IN A DATA SET. TO CALCULATE IT,
PLACE ALL OF YOUR NUMBERS IN INCREASING ORDER. IF YOU HAVE AN
ODD NUMBER OF INTEGERS, THE NEXT STEP IS TO FIND THE MIDDLE
NUMBER ON YOUR LIST. IN THIS EXAMPLE, THE MIDDLE OR MEDIAN
3, 9, 15, 17, 44
NUMBER IS 15:
If you have an even number of data points, calculating the
median requires another step or two. First, find the two middle
integers in your list. Add them together, then divide by two. The
result is the median number. In this example, the two middle
numbers are 8 and 12
3, 6, 8, 12, 17, 44
Written out, the calculation would look like this:
(8 + 12) / 2 = 20 / 2 = 10
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