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 enter an integer or decimal number more...\n75 - 79 3\n80 - 84 6\n85 - 89\n90 - 94\nquestion help: video
Answer
Explanation:
Step1: Count total data points
There are 30 data - points in the temperature data set.
Step2: Calculate relative frequency for 70 - 74
Relative frequency = $\frac{\text{Frequency}}{\text{Total number of data points}}$. For the 70 - 74 range, frequency = 7. So relative frequency = $\frac{7}{30}\approx0.2333$.
Step3: Calculate cumulative frequency for 70 - 74
Cumulative frequency for the first class is just its own frequency. So cumulative frequency for 70 - 74 is 7.
Step4: Calculate cumulative relative frequency for 70 - 74
Cumulative relative frequency for the first class is its relative frequency. So cumulative relative frequency for 70 - 74 is 0.2333.
Step5: Calculate frequency for 85 - 89
Count the number of values in the 85 - 89 range. There are 5 values.
Step6: Calculate relative frequency for 85 - 89
Relative frequency = $\frac{5}{30}\approx0.1667$.
Step7: Calculate cumulative frequency for 85 - 89
Add the frequencies of previous classes to the frequency of 85 - 89. Cumulative frequency = 7 + 3+6 + 5=21.
Step8: Calculate cumulative relative frequency for 85 - 89
Cumulative relative frequency = $\frac{21}{30}=0.7000$.
Step9: Calculate frequency for 90 - 94
Count the number of values in the 90 - 94 range. There are 9 values.
Step10: Calculate relative frequency for 90 - 94
Relative frequency = $\frac{9}{30}=0.3000$.
Step11: Calculate cumulative frequency for 90 - 94
Cumulative frequency = 7 + 3+6 + 5+9=30.
Step12: Calculate cumulative relative frequency for 90 - 94
Cumulative relative frequency = $\frac{30}{30}=1.0000$.
| 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 | 5 | 0.1667 | 21 | 0.7000 |
| 90 - 94 | 9 | 0.3000 | 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 | 5 | 0.1667 | 21 | 0.7000 |
| 90 - 94 | 9 | 0.3000 | 30 | 1.0000 |