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Using this data, draw some kind of graph and tell the distribution of the graph

Using this data, draw some kind of graph and tell the distribution of the graph

I need to have a graph and then know what the graph looks like such as skewed left and right

62 75 86 83 98
77 92 96 84 100
78 84 94 95 100
81 79 93 100 97
84 97 95 100 91
99 96 98 100 100
100 100 100 100 100

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2 Answers

Hey Joshua --

You've got 35 entries (n=35) ranging from 62 to 100 ...

underlined are the middle entries for each row: 83,92,93,94,95,98,100 ...

the "middle of the middle" is 94 (about "average") ...

There are TEN (10) data at least 10 points lower than the middle (<85) ...

==> skewed WAY RIGHT

62 75 86 83 98
77 92 96 84 100
78 84 94 95 100 ==> 83,92,93,94,95,98,100 ==> 94 middle 

81 79 93 100 97
84 97 95 100 91
99 96 98 100 100
100 100 100 100 100

With this data, you could make a histogram. Check out http://www.mathsisfun.com/data/histograms.html for examples and instructions. You can do this by hand, or you could use a program such as MS Excel.

It's easier to make a graph if you write out a frequency distribution first. Put each number in a column on the left (from least to greatest) and the number of times (frequency) it occurs on the right.

#     frequency

62      1
75      1
77      1
78      1
79      1
81      1
83      1
84      3

 

etc.