Consider the following frequency table representing the distribution of hours students study for an exam in a week.Hours Students Study for an Exam in a WeekClass Frequency8–158–158816–2316–234424–3124–31141432–3932–394440–4740–471010Copy DataStep 1 of 2 : Determine the relative frequency for the third class as a simplified fraction.
Question
Consider the following frequency table representing the distribution of hours students study for an exam in a week.Hours Students Study for an Exam in a WeekClass Frequency8–158–158816–2316–234424–3124–31141432–3932–394440–4740–471010Copy DataStep 1 of 2 : Determine the relative frequency for the third class as a simplified fraction.
Solution
To determine the relative frequency for the third class as a simplified fraction, you need to divide the frequency of the third class by the total frequency.
From the table, the frequency of the third class (24-31 hours) is 14. The total frequency is the sum of all frequencies, which is 8+4+14+44+10 = 80.
So, the relative frequency for the third class is 14/80.
This can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
So, the simplified fraction is 7/40.
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