Consider the following frequency distribution. Number of Minutes Frequency
0 to less than 5 6
5 to less than 10 9
8 to less than 13 14
13 to less than 18 2
Which rule for constructing a frequency distribution using grouped quantitative data has been violated?
A. Use mutually exclusive classes.
B. Use equal-size classes.
C. Avoid empty classes.
D. No rule has been violated.

A. Use mutually exclusive classes.

Step-by-step explanation:

From the given frequency distribution:

We can see that we have these class interval

The data in these two ranges will overlap and therefore violates the rule of mutual exclusivity.

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus