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 45 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
2	18
3

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Explanation:

Step1: Calculate relative frequency for 2 courses

The relative - frequency is calculated as $\text{Relative Frequency}=\frac{\text{Frequency}}{\text{Total Frequency}}$. The total number of students is 45. For 2 courses, with a frequency of 18, the relative frequency is $\frac{18}{45}=0.4$.

Step2: Calculate frequency for 3 courses

The sum of the first two frequencies is $11 + 18=29$. The total number of students is 45. So the frequency for 3 courses is $45-(11 + 18)=16$.

Step3: Calculate relative frequency for 3 courses

Using the formula $\text{Relative Frequency}=\frac{\text{Frequency}}{\text{Total Frequency}}$, with a frequency of 16 and a total of 45, the relative frequency is $\frac{16}{45}\approx0.4$.

Answer:

Number of Courses	Frequency	Relative Frequency
2	18	0.4
3	16	0.4