vacancy rate (%) relative frequency\n0 ≤ x < 3 0.36\n3 ≤ x < 6 0.24\n6 ≤ x < 9 0.20\n9 ≤ x < 12 0.12\n12 ≤ x…
vacancy rate (%) relative frequency\n0 ≤ x < 3 0.36\n3 ≤ x < 6 0.24\n6 ≤ x < 9 0.20\n9 ≤ x < 12 0.12\n12 ≤ x < 15 0.08\na - 1. construct the frequency distribution.\nvacancy rate (%) frequency\n0 ≤ x < 3 18\n3 ≤ x < 6 12\n6 ≤ x < 9 10\n9 ≤ x < 12 6\n12 ≤ x < 15 4
Answer
Explanation:
Step1: Assume total frequency is 50
Let the total frequency be $n = 50$. We know that relative - frequency $=\frac{\text{frequency}}{\text{total frequency}}$, or $\text{frequency}=\text{relative - frequency}\times\text{total frequency}$.
Step2: Calculate frequency for each class
For the class $0\leq x < 3$: Frequency $=0.36\times50 = 18$. For the class $3\leq x < 6$: Frequency $=0.24\times50 = 12$. For the class $6\leq x < 9$: Frequency $=0.20\times50 = 10$. For the class $9\leq x < 12$: Frequency $=0.12\times50 = 6$. For the class $12\leq x < 15$: Frequency $=0.08\times50 = 4$.
Answer:
| Vacancy Rate (%) | Frequency |
|---|---|
| $0\leq x < 3$ | 18 |
| $3\leq x < 6$ | 12 |
| $6\leq x < 9$ | 10 |
| $9\leq x < 12$ | 6 |
| $12\leq x < 15$ | 4 |