Statistics Help with creating bins for the Mode I have the f

*Statistics, Help with creating bins for the Mode.

I have the following data: 1.72, 1.85, 2.09, 2.15, 2.20, 2.25, 2.30, 2.35, 2.35, 2.35, 2.47, 2.52, 2.56, 2.72, 2.77, 2.85, 3.02, 3.12, 3.12, 3.21, 3.22, 3.22, 3.27, 3,28, 3.38

The Mode is 2.35. However, my task is to determine the range of masses and to create 10 equally spaced bins. Use these bins to graph the frequency of the masses though a histogram using excel.

Any idea on how to do that?

Solution

Note that the range is

range = maximum - minimum

here,

minimum = 1.72
maximum = 3.38

Thus,

range = 1.66 [ANSWER]

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As for 10 equally spaced bins, first, we must get the spacing of bins:

class width = range / 10 = 0.166

Usually, we round this off a little so that the bins don\'t have too much decimal places.

Thus, we can round this off to 0.17, and, instead of starting off with 1.72, we start with 1.70 (for aesthetic purposes only).

Thus, we can have these bins:

1.70-1.87
1.87-2.04
2.04-2.21
2.21-2.38
2.38-2.55
2.55-2.72
2.72-2.89
2.89-3.06
3.06-3.23
3.23-3.40 [ANSWER]

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Now you have to count how many numbers fall into each class.

Ex. For 1.70-1.87, there are two (2) of them. [1.72, 1.85]

Please do the same for the other items, then put them in a histogram. DONE!