Question

2.1: categorical data tables and graphs. to find the missing frequency, add the 1st 2 frequencies, then subtract that sum from the given total to get the counts for the last frequency class.
suppose that 65 students were asked how many courses they were taking this semester. the (incomplete) results are shown below. fill in the blank cells to complete the table. round the relative frequencies to the nearest tenth.
number of courses frequency relative frequency
1 20 0.3
2 18
3
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Explanation:

Step1: Calculate relative frequency for 2 courses

Relative frequency = $\frac{\text{Frequency}}{\text{Total number of students}}$. Total number of students is 65. For 2 courses, frequency is 18. So relative frequency = $\frac{18}{65}\approx 0.3$.

Step2: Calculate frequency for 3 courses

Sum of first two frequencies is $20 + 18=38$. Total number of students is 65. So frequency for 3 courses is $65 - 38 = 27$.

Step3: Calculate relative frequency for 3 courses

Relative frequency for 3 courses = $\frac{27}{65}\approx 0.4$.

Answer:

Number of Courses	Frequency	Relative Frequency
2	18	0.3
3	27	0.4