the following is the average daily temperature for portland, oregon for the month of july:\n70 72 90 86 83…

the following is the average daily temperature for portland, oregon for the month of july:\n70 72 90 86 83 82\n93 81 94 85 85 73\n82 94 82 74 80 85\n93 70 76 87 91 70\n72 86 79 79 90 94\n(a) complete the frequency distribution for the data. (use 4 decimal places when applicable)\ntemperature frequency relative frequency cumulative frequency cumulative relative frequency\n70 - 74 7\n75 - 79 3\n80 - 84 6\n85 - 89 6\n90 - 94 8\nquestion help: video\nsubmit question
Answer
Explanation:
Step1: Calculate total frequency
The total frequency is the sum of all individual frequencies: $7 + 3+6 + 6+8=30$.
Step2: Calculate relative frequencies
For the $70 - 74$ range: Relative frequency = $\frac{7}{30}\approx0.2333$. For the $75 - 79$ range: Relative frequency = $\frac{3}{30}=0.1000$. For the $80 - 84$ range: Relative frequency = $\frac{6}{30}=0.2000$. For the $85 - 89$ range: Relative frequency = $\frac{6}{30}=0.2000$. For the $90 - 94$ range: Relative frequency = $\frac{8}{30}\approx0.2667$.
Step3: Calculate cumulative frequencies
For the $70 - 74$ range, cumulative frequency is $7$. For the $75 - 79$ range, cumulative frequency is $7 + 3=10$. For the $80 - 84$ range, cumulative frequency is $10+6 = 16$. For the $85 - 89$ range, cumulative frequency is $16+6=22$. For the $90 - 94$ range, cumulative frequency is $22 + 8=30$.
Step4: Calculate cumulative relative frequencies
For the $70 - 74$ range, cumulative relative frequency = $\frac{7}{30}\approx0.2333$. For the $75 - 79$ range, cumulative relative frequency = $\frac{10}{30}\approx0.3333$. For the $80 - 84$ range, cumulative relative frequency = $\frac{16}{30}\approx0.5333$. For the $85 - 89$ range, cumulative relative frequency = $\frac{22}{30}\approx0.7333$. For the $90 - 94$ range, cumulative relative frequency = $\frac{30}{30}=1.0000$.
Answer:
| Temperature | Frequency | Relative Frequency | Cumulative Frequency | Cumulative Relative Frequency |
|---|---|---|---|---|
| 70 - 74 | 7 | 0.2333 | 7 | 0.2333 |
| 75 - 79 | 3 | 0.1000 | 10 | 0.3333 |
| 80 - 84 | 6 | 0.2000 | 16 | 0.5333 |
| 85 - 89 | 6 | 0.2000 | 22 | 0.7333 |
| 90 - 94 | 8 | 0.2667 | 30 | 1.0000 |