The lower class limit is simply the least data element that can enter a class.
The first five lower class limits are: 75 , 96, 117, 138 and 159
The given parameters are:
[tex]\mathbf{Min = 75}[/tex]
[tex]\mathbf{Max = 280}[/tex]
[tex]\mathbf{Class = 10}[/tex]
Calculate the range
[tex]\mathbf{Range = Max - Min}[/tex]
[tex]\mathbf{Range = 280 - 75}[/tex]
[tex]\mathbf{Range = 205}[/tex]
Divide by the number of classes, to determine the class width
[tex]\mathbf{n =\frac{205}{10}}[/tex]
[tex]\mathbf{n =20.5}[/tex]
Approximate
[tex]\mathbf{n =21}[/tex]
So, the lower limits are:
[tex]\mathbf{Lower = 75 \times 0, 75 + 21 \times 1, 75 + 21 \times 2, 75 + \times 3, 75 + \times 4}[/tex]
[tex]\mathbf{Lower = 75 , 96, 117, 138 , 159}[/tex]
Hence, the first five lower class limits are: 75 , 96, 117, 138 and 159
Read more about lower class limits at:
https://brainly.com/question/7949481
