Question

a set of date consists of 225 observations. the lowest value of the data set is 2,403; the highest is

Answer 1

8 classes

Explanation:

Given

`Least = 2403`

`Highest = 11998`

`n = 225`

Required

The number of class

To calculate the number of class, the following must be true

`2^k > n`

Where k is the number of classes

So, we have:

`2^k > 225`

Take logarithm of both sides

`\log(2^k) > \log(225)`

Apply law of logarithm

`k\log(2) > \log(225)`

Divide both sides by log(2)

`k > (\log(225))/(\log(2))`

`k > 7.8`

Round up to get the least number of classes

`k = 8`