Final answer:
To construct a relative frequency table, divide each frequency by the total number of students who answered the question. Round the relative frequencies to three decimal places.
Step-by-step explanation:
A relative frequency is the ratio (fraction or proportion) of the number of times a value of the data occurs in the set of all outcomes to the total number of outcomes. To find the relative frequencies, divide each frequency by the total number of students in the sample. In this case, the total number of students who answered the question is 362. So, to construct a relative frequency table:
- For Academy Award: divide the frequency (31) by the total number of students (362).
- For Nobel Prize: divide the frequency (149) by the total number of students (362).
- For Olympic gold medal: divide the frequency (182) by the total number of students (362).
Round the relative frequencies to three decimal places.