Question

a relative frequency table is made from data in a frequency table.

frequency table

	g	h	total
f	14	8	22
total	26	19	45

relative frequency table

	g	h	total

what is the value of y in the relative frequency table? round the answer to the nearest percent.
\bigcirc 12\\%
\bigcirc 27\\%
\bigcirc 46\\%
\bigcirc 52\\%

Explanation:

Step1: Identify the relevant frequency

We need to find the relative frequency for the cell corresponding to y. From the frequency table, let's assume y is the relative frequency of G in the row (maybe E or F, but looking at the total, let's check: the total number of observations is 45 (from the total row). The frequency for G in row E is 12? Wait, no, maybe y is the relative frequency of G in row E? Wait, the relative frequency is (frequency of the cell) / (total frequency). Wait, the total frequency is 45 (since 23 + 22 = 45, and 26 + 19 = 45). Let's see, if we consider the cell for G in row E: frequency is 12, total is 45. Wait, no, maybe the row is E? Wait, the relative frequency table's row (maybe E) and column G. Wait, the frequency for G in row E is 12, total frequency is 45. Wait, but let's check the options. Wait, maybe y is the relative frequency of G in row E? Wait, 12 / 45 ≈ 0.2667, which is 27% when rounded to the nearest percent. Wait, let's confirm. The total number of data points is 45 (from the total row: 23 + 22 = 45). The frequency for G in row E is 12? Wait, no, the frequency table: row E has G=12, H=11, total=23. Row F has G=14, H=8, total=22. Total G=26, total H=19, total=45. So if y is the relative frequency of G in row E, then it's 12 / 45 ≈ 0.2667, which is 27% when rounded to the nearest percent.

Step2: Calculate the relative frequency

To find the relative frequency, we use the formula: Relative Frequency = (Frequency of the cell) / (Total Frequency). Here, the frequency of the cell (let's say G in row E) is 12, and the total frequency is 45. So we calculate \( \frac{12}{45} \approx 0.2667 \).

Step3: Convert to percentage and round

To convert the decimal to a percentage, we multiply by 100: \( 0.2667 \times 100 \approx 26.67\% \), which rounds to 27%.

Answer:

27%