a biologist exposed a certain type of bacteria to gamma radiation to see how long they would live. she…
a biologist exposed a certain type of bacteria to gamma radiation to see how long they would live. she gathered data on the survival time of a number of bacterial cells and organized the data into the histogram below. use the histogram to construct a frequency table. (the relative frequencies should be in decimal form- enter four or more decimal places.)\nsurvival time of bacteria upon exposure to gamma radiation\n| survival time (in seconds) | frequency | relative frequency |\n| ---- | ---- | ---- |\n| 83-107 | | |\n| 107-131 | | |\n| 131-155 | | |\n| 155-179 | | |\n| 179-203 | | |\n| 203-227 | | |
Answer
Explanation:
Step1: Read frequencies from histogram
The frequencies for the intervals are:
- 83 - 107: 30
- 107 - 131: 40
- 131 - 155: 40
- 155 - 179: 20
- 179 - 203: 40
- 203 - 227: 30
Step2: Calculate total frequency
$Total\ frequency=30 + 40+40 + 20+40+30=200$
Step3: Calculate relative frequencies
- For 83 - 107: $\frac{30}{200}=0.1500$
- For 107 - 131: $\frac{40}{200}=0.2000$
- For 131 - 155: $\frac{40}{200}=0.2000$
- For 155 - 179: $\frac{20}{200}=0.1000$
- For 179 - 203: $\frac{40}{200}=0.2000$
- For 203 - 227: $\frac{30}{200}=0.1500$
Answer:
| Survival Time (in Seconds) | Frequency | Relative Frequency |
|---|---|---|
| 83 - 107 | 30 | 0.1500 |
| 107 - 131 | 40 | 0.2000 |
| 131 - 155 | 40 | 0.2000 |
| 155 - 179 | 20 | 0.1000 |
| 179 - 203 | 40 | 0.2000 |
| 203 - 227 | 30 | 0.1500 |