a relative frequency table is made from data in a frequency table. what is the value of k in the relative…

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\n| | u | v | total |\n|--|--|--|--|\n| s | 5 | 8 | 13 |\n| t | 4 | 2 | 6 |\n| total | 9 | 10 | 19 |\nrelative frequency table\n| | u | v | total |
Answer
Answer:
20%
Explanation:
Step1: Recall relative - frequency formula
Relative frequency = $\frac{\text{Frequency}}{\text{Total frequency}}$
Step2: Identify relevant values
We assume $k$ is the relative frequency of the cell with frequency 4 in the original frequency table. The total frequency is 19.
Step3: Calculate relative frequency
Relative frequency of the cell = $\frac{4}{19}\approx 0.2105$
Step4: Convert to percentage
$0.2105\times100% = 21.05%$. Rounding to the nearest percent gives 20%.