Statistics Examples

$0$ , $8$ , $7$ , $8$ , $6$ , $4$ , $2$ , $1$ , $3$ , $2$

Step 1

The class width can be found by finding the difference of the maximum data value and the minimum data value (range of data) divided by the number of classes.

$\frac{(Maximum Data Value - Minimum Data Value)}{(Number of Classes)} = \frac{(Range of Data)}{(Number of Classes)}$

Step 2

The number of classes can be estimated using the rounded output of Sturges' rule, $N = 1 + 3.322 \log (n)$ , where $N$ is the number of classes and $n$ is the number of items in the data set.

$1 + 3.322 \log (8) = 4.00006493$

Step 3

Select $4$ classes for this example.

$4$

Step 4

Find the data range by subtracting the minimum data value from the maximum data value. In this case, the data range is $8 - 0 = 8$ .

$8$

Step 5

Find the class width by dividing the data range by the desired number of groups. In this case, $\frac{8}{4} = 2$ .

$2$

Step 6

Add one to $2$ to get the size of each group.

$3$

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