Sturges' rule is a way of calculating the number of bins (e.g. categories or classes) of a set of data. It is assumed that the data come from a normally distributed population.

Sturges' rule states that the number of bins should be the ceiling function of (1+log(2)n) (log base 2 of n, where the ceiling function returns the next higher integer.)

Here we have 1+log(2)100 is approximately 1+6.64385619=7.64385619 so the number of bins should be 8.

We can find the class width by (111200-74800)/8=4550, so we use 4551 as the class width.

74799.5 - 79350.5

79350.5 - 83901.5

83901.5 - 88452.5

88452.5 - 93003.5

93003.5 - 97554.5

97554.5 - 102105.5

102105.5 - 106656.5

106656.5 - 111207.5

**If the data is in hundreds, the boundaries would be in 50's **

## See eNotes Ad-Free

Start your **48-hour free trial** to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Already a member? Log in here.