Respuesta :
Using proportions, it is found that:
- The class width is of 4.8333.
- The lower class limits are given as follows: 1, 5.8333, 10.6667, 15.5, 20.3333, 25.1665.
- The upper class limits are given as follows: 5.8333, 10.6667, 15.5, 20.3333, 25.1665, 30.
What is a proportion?
A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
Since the classes have equal width, the width is given as follows:
class width = (max - min)/n
In which n is the number of classes.
Hence, from the data given in this problem, the class width is given as follows:
class width = (30 - 1)/6 = 4.8333.
The lowest class starts at 1, hence, adding 4.8333, we have that:
The lower class limits are given as follows: 1, 5.8333, 10.6667, 15.5, 20.3333, 25.1665
The highest class starts at 30, hence, subtracting 4.8333, we have that:
The upper class limits are given as follows: 5.8333, 10.6667, 15.5, 20.3333, 25.1665, 30.
More can be learned about proportions at https://brainly.com/question/24372153
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