Question

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

	u	v	total
t	4	2	6
total	9	10	19

relative frequency table

	u	v	total

what is the value of k in the relative frequency table?
round the answer to the nearest percent.
○ 2%
○ 11%
○ 20%
○ 33%

Explanation:

Step1: Identify the frequency for the cell with k

Assuming k is for the cell T and V (since that's the only cell with frequency 2, and we need to find its relative frequency). The frequency here is 2, and the total number of observations is 19 (from the total row of the frequency table).

Step2: Calculate relative frequency

Relative frequency is calculated as $\frac{\text{Frequency of the cell}}{\text{Total frequency}} \times 100\%$. So for the cell with frequency 2, the relative frequency $k = \frac{2}{19} \times 100\%$.
Calculating $\frac{2}{19} \approx 0.1053$, then multiplying by 100 gives approximately $10.53\%$, which rounds to 11%.

Answer:

11%