Answer:
See attachment for histogram
Step-by-step explanation:
Given
[tex]Data: 21,22.4,23,24.8,25.3,27,27.6,28.8,29.4,29.9,30.1,30.1,30.4,31.2,32,32.9[/tex]
Required
Represent on histogram
Calculate the range of the data
[tex]Range = 32.9 - 21[/tex]
[tex]Range = 11.9[/tex]
Using a width of 5, we have:
[tex]Class = \frac{Range}{5}[/tex]
[tex]Class = \frac{11.9}{5}[/tex]
[tex]Class =2.38[/tex]
Round up
[tex]Class = 3[/tex]
This means that the class will have 3 classes which are:
21.0 - 24.9, 25.0 - 29.9 and 30.0 - 34.9
The frequency table is as follows:
[tex]\begin{array}{cc}{Interval} & {Frequency}&{21.0 - 24.9} & {4} & {25.0 - 29.9} & {6} & {30.0 - 34.9} & {6} \ \end{array}[/tex]
See attachment for histogram
