Question

Find the class width, the lower class limits,and the upper class limit

Answer 1

The class width is determined by the formula

$\begin{gathered} \text{Class Width}=\frac{\max -\min }{n} \\ \text{where} \\ \max \text{ is the maximum value in a data set} \\ \min \text{ is the minimum value in a data set} \\ n\text{ is the number of classes} \end{gathered}$

Given that

max = 83

min = 12

n = 6

THEN substitute the following values and we get

$\begin{gathered} \text{Class Width}=\frac{\max-\min}{n} \\ \text{Class Width}=\frac{83-12}{6} \\ \text{Class Width}=\frac{71}{6} \\ \text{Class Width}=11.8333\approx12 \end{gathered}$$\begin{gathered} \text{Using a class width of 12, with 6 classes, the lower limits are} \\ 12,24,36,48,60,72 \\ \\ \text{Using a class width of 12, with 6 classes, the upper limits are} \\ 23,35,47,59,71,83 \\ \end{gathered}$