Question

which of the following statements is not supported by the relative frequency table?
a more than half the students were absent because of illness.
b more than one - third of the students were absent because of oversleeping or college visits.
c the reason given the least number of times was did not finish assignment.
d only 7 students were absent because they did not finish an assignment.

reason	illness	overslept	college visit	did not finish assignment

Explanation:

Step1: Analyze Option A

The relative - frequency of illness is 0.57 which is more than half (0.5), so this statement is supported.

Step2: Analyze Option B

The relative - frequency of oversleeping or college visits is \(0.20 + 0.16=0.36\), which is more than one - third (\(\frac{1}{3}\approx0.33\)), so this statement is supported.

Step3: Analyze Option C

The relative - frequency of not finishing assignment is 0.07, which is the least among the given reasons, so this statement is supported.

Step4: Analyze Option D

We don't know the total number of students. Just knowing the relative - frequency of 0.07 for not finishing assignment, we can't say that only 7 students were absent because of not finishing an assignment. This statement is not supported.

Answer:

D. Only 7 students were absent because they did not finish an assignment.