Question

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.)
survival time of bacteria upon exposure to gamma radiation

survival time (in seconds)	frequency	relative frequency
107-131
131-155
155-179
179-203
203-227

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
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