Question

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.

Answer 1

A. Use mutually exclusive classes.

Explanation:

From the given frequency distribution:

`\left|\begin{array}c$Number of Minutes &$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\end{array}\right|`

We can see that we have these class interval

• 5 to less than 10
• 8 to less than 13

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