SOLUTION: Mean, Median and Mode. Scores: 94, 93, 76, 84, 96, 69, 86, 89, 79, 92, 67, 83, 88, 91, 87, 79, 92, 81.

Algebra ->  Average -> SOLUTION: Mean, Median and Mode. Scores: 94, 93, 76, 84, 96, 69, 86, 89, 79, 92, 67, 83, 88, 91, 87, 79, 92, 81.       Log On


   



Question 709289: Mean, Median and Mode. Scores: 94, 93, 76, 84, 96, 69, 86, 89, 79, 92, 67, 83, 88, 91, 87, 79, 92, 81.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First sort the numbers into ascending order (from least to greatest):
67,69,76,79,79,81,83,84,86,87,88,89,91,92,92,93,94,96

Sample Mean:

To find the mean, add up all of the numbers and divide the sum by the number of numbers (which in this case is 18).


So the mean is 84.7777777777778

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Median:


To find the median, count off about 9 spaces (just take half of the size of the list, which is 18) from the beginning of the list until you hit the middle. Now count count off about 9 spaces from the end of the list until you hit the middle.
67, 69, 76, 79, 79, 81, 83, 84, highlight%2886%29, highlight%2887%29, 88, 89, 91, 92, 92, 93, 94, 96
Since the middle is in between the numbers 86 and 87, add them up and divide that sum by 2.
Median=%2886%2B87%29%2F2=173%2F2=86.5

So the median is 86.5

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Mode:

To find the mode, simply look for any repeating numbers. If there is one number that occurs more frequently than any other number, then that number is the mode.

In this case, the numbers 79 and 79 repeat themselves 2 times. This is the most frequent number.

So the mode is 79