the table below shows the number of vital - sign checks performed by nurses during their shifts. calculate…
the table below shows the number of vital - sign checks performed by nurses during their shifts. calculate the total number of checks performed and complete the \total\ row. then, determine the relative frequency for each number of checks, expressing the relative frequencies as simplified fractions in the corresponding column.\nenter your answers as integers or fractions.\nnumber of vital sign checks performed by nurses\n|number of checks|frequency|relative frequency|\n|----|----|----|\n|10|3|\n|11|7|\n|12|8|\n|13|6|\n|14|2|\n|15|8|\n|total|34|
Answer
Explanation:
Step1: Recall relative - frequency formula
Relative frequency = $\frac{\text{Frequency of the class}}{\text{Total frequency}}$
Step2: Calculate relative frequency for 10 checks
Relative frequency for 10 checks = $\frac{3}{34}$
Step3: Calculate relative frequency for 11 checks
Relative frequency for 11 checks = $\frac{7}{34}$
Step4: Calculate relative frequency for 12 checks
Relative frequency for 12 checks = $\frac{8}{34}=\frac{4}{17}$
Step5: Calculate relative frequency for 13 checks
Relative frequency for 13 checks = $\frac{6}{34}=\frac{3}{17}$
Step6: Calculate relative frequency for 14 checks
Relative frequency for 14 checks = $\frac{2}{34}=\frac{1}{17}$
Step7: Calculate relative frequency for 15 checks
Relative frequency for 15 checks = $\frac{8}{34}=\frac{4}{17}$
Step8: Calculate relative frequency for total (should be 1)
Relative frequency for total = $\frac{34}{34} = 1$
Answer:
| Number of Checks | Frequency | Relative Frequency |
|---|---|---|
| 10 | 3 | $\frac{3}{34}$ |
| 11 | 7 | $\frac{7}{34}$ |
| 12 | 8 | $\frac{4}{17}$ |
| 13 | 6 | $\frac{3}{17}$ |
| 14 | 2 | $\frac{1}{17}$ |
| 15 | 8 | $\frac{4}{17}$ |
| Total | 34 | 1 |