Answer:
(a) [tex]\frac{620}{3195}[/tex]
(b) [tex]\frac{645}{3195}[/tex]
Step-by-step explanation:
Relative frequency of an event = Event Frequency/Total Frequency
In this case the event is the number of responses for each reason and the total frequency is the sum of all responses.
Total Responses = 583 + 620 + 187 + 163 + 558 + 645 + 439 = 3195
(a) What is the relative frequency for the reason "study hard"?
= Number of responses for "study hard" / 3195
= 620/3195
==> [tex]\frac{620}{3195}[/tex] Answer to (a)
(b) What is the relative frequency for the reason "have a goal in mind"?
= Number of responses for the reason "have a goal in mind"/3195
= 645/3195
==> [tex]\frac{645}{3195}[/tex] Answer to (b)
I think it is OK to leave it as it is without reducing the fraction any further