The following relative frequency table shows reasons given by high school students for their last absence from school.

-

Reason - Relative Frequency

Illness - 0.57

Overslept - 0.20

College visit - 0.16

Did not finish assignment - 0.07

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.

E. Less than one-fourth of the students were absent because they overslept

The statement which not supported by the relative frequency table is " The reason given the least number of times was did not finish assignment " ⇒ C

Step-by-step explanation:

A relative frequency table shows the mode of a certain type of data based on the population sampled

To find the relative frequency, divide the frequency by the total number of data values

The table:

→ Reason : Relative Frequency

→ Illness : 0.57

→ Overslept : 0.20

→ College visit : 0.16

→ Did not finish assignment : 0.07

Lets check each statement

A. More than half the students were absent because of illness

From the table illness is 0.57 which equals to 57% of the students, so more than 50% (half) of the students were absent because of illness

The answer supported by the table

B. More than one-third of the students were absent because of oversleeping or college visits

From the table overslept is 0.20 and collage visit is 0.16, or means add the two numbers, so 0.20 + 0.16 = 0.36 which equals to 36% and one-third of the students means 33%, so more than one-third of the students were absent because of oversleeping or college visits

The answer supported by the table

C. The reason given the least number of times was did not finish assignment

There is no any reason on the table for the least number of times was did not finish assignment

The answer NOT supported by the table

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

From the table 0.07 Did not finish assignment, that means if the total number of students is 100, than 7 students only did not finish an assignment

The answer supported by the table

E. Less than one-fourth of the students were absent because they overslept

One-fourth means 0.25, and from the table 0.20 over slept, so less than 0.25 of the students were absent because of Overslept

The answer supported by the table