Statistics Examples

9

$9$ ,

8

$8$ ,

7

$7$ ,

1

$1$ ,

0

$0$ ,

3

$3$ ,

8

$8$ ,

9

$9$

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)}

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

Step 2

The number of classes can be estimated using the rounded output of Sturges' rule,

N = 1 + 3.322 log (n)

$N = 1 + 3.322 \log (n)$ , where

N

$N$ is the number of classes and

n

$n$ is the number of items in the data set.

1 + 3.322 log (6) = 3.58501845

$1 + 3.322 \log (6) = 3.58501845$

Step 3

Select

4

$4$ classes for this example.

4

$4$

Step 4

Find the data range by subtracting the minimum data value from the maximum data value. In this case, the data range is

9 - 0 = 9

$9 - 0 = 9$ .

9

$9$

Step 5

Find the class width by dividing the data range by the desired number of groups. In this case,

\frac{9}{4} = 2.25

$\frac{9}{4} = 2.25$ .

2.25

$2.25$

Step 6

Round

2.25

$2.25$ up to the nearest whole number. This will be the size of each group.

3

$3$

Enter YOUR Problem