Question

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

	u	v	total
t	4	2	6
total	9	10	19

relative frequency table

u

v

total

Explanation:

Step1: Recall relative - frequency formula

Relative frequency of a cell = $\frac{\text{Frequency of the cell}}{\text{Total frequency}}$.

Step2: Identify values for calculation

Assume the cell corresponding to $k$ has frequency $4$ (from the frequency table for the intersection of $T$ and $U$), and the total frequency is $19$.

Step3: Calculate relative frequency

The relative frequency $k=\frac{4}{19}\approx 0.2105$.

Step4: Convert to percentage

$0.2105\times100 = 21.05\%$.

Step5: Round to nearest percent

Rounding $21.05\%$ to the nearest percent gives $21\%$. But among the given options, the closest one is $20\%$.

Answer:

$20\%$