Question

a relative frequency table is made from data in a frequency table. what is the value of y in the relative frequency table? round the answer to the nearest percent. frequency table

	g	h	total
f	14	8	22
total	26	19	45	relative frequency table
	g	h	total

Explanation:

Step1: Recall relative - frequency formula

Relative frequency of a value = $\frac{\text{Frequency of the value}}{\text{Total frequency}}\times100\%$
We assume $y$ is the relative - frequency of a cell in the table. Let's assume it is the relative frequency of the cell corresponding to $F$ and $G$. The frequency of the cell corresponding to $F$ and $G$ is $14$, and the total frequency is $45$.

Step2: Calculate relative frequency

Relative frequency $=\frac{14}{45}\times 100\%=\frac{1400}{45}\% \approx 31.11\%$. But since we don't know exactly which cell $y$ represents, if we assume $y$ is the relative frequency of the cell corresponding to $F$ and $H$, the frequency of this cell is $8$, and the total frequency is $45$. Then the relative frequency is $\frac{8}{45}\times100\%=\frac{800}{45}\% \approx 17.78\%$. If we assume $y$ is the relative frequency of the row - total of $F$, it is $\frac{22}{45}\times100\%=\frac{2200}{45}\% \approx 48.89\%\approx49\%$. If we assume $y$ is the relative frequency of the column - total of $G$, it is $\frac{26}{45}\times100\%=\frac{2600}{45}\% \approx 57.78\%$. If we assume $y$ is the relative frequency of the cell corresponding to $E$ and $G$, it is $\frac{12}{45}\times100\%=\frac{1200}{45}\% \approx 26.67\%\approx27\%$.

Answer:

27%