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 = $\frac{\text{Frequency of the value}}{\text{Total frequency}}$

Step2: Identify relevant frequencies

We assume $y$ is the relative frequency of a certain cell. Let's assume it is the relative frequency of the cell with frequency 11 (in the E - H intersection). The total frequency is 45.

Step3: Calculate relative frequency

Relative frequency = $\frac{11}{45}\approx0.2444$

Step4: Convert to percentage

$0.2444\times100 = 24.44\%$. Rounding to the nearest percent gives 24%, but it seems there is a misunderstanding. If we assume $y$ is the relative frequency of the value in the F - H cell (with frequency 8), then relative frequency = $\frac{8}{45}\approx0.1778$. Converting to percentage: $0.1778\times 100 = 17.78\%\approx18\%$, still not in the options. If we assume $y$ is the relative - frequency of the value in the E - G cell (with frequency 12), relative frequency=$\frac{12}{45}\approx0.2667$, and $0.2667\times100 = 26.67\%\approx27\%$

Answer:

27%