Question

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

Answer 1

Answer:

8 classes

Step-by-step 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)

$k > \frac{\log(225)}{\log(2)}$

$k > 7.8$

Round up to get the least number of classes

$k = 8$