mean temperature: 78° standard deviation: 5° check all of the temperatures that are within one standard…

Explanation:

Step1: Calculate lower bound

The lower bound of the range within one - standard deviation of the mean is calculated by subtracting the standard deviation from the mean. So, $78 - 5=73$.

Step2: Calculate upper bound

The upper bound of the range within one - standard deviation of the mean is calculated by adding the standard deviation to the mean. So, $78 + 5 = 83$.

Step3: Check each option

We check which temperatures are between 73 and 83.

• For 72°, since $72<73$, it is not within one - standard deviation of the mean.
• For 74°, since $73<74<83$, it is within one - standard deviation of the mean.
• For 79°, since $73<79<83$, it is within one - standard deviation of the mean.
• For 84°, since $84>83$, it is not within one - standard deviation of the mean.

Answer:

74°, 79°