Question

the mean of the temperatures in the chart is 24° with a standard deviation of 4°. which temperature is within one standard deviation of the mean? 18° 19° 22° 30°

Explanation:

Step1: Determine the range

For a mean $\mu = 24^{\circ}$ and standard - deviation $\sigma=4^{\circ}$, the range within one standard deviation of the mean is $\mu-\sigma$ to $\mu + \sigma$.
The lower limit is $24 - 4=20^{\circ}$, and the upper limit is $24 + 4 = 28^{\circ}$.

Step2: Check the options

We check each option:

• Option A: $18^{\circ}<20^{\circ}$, so it is not within one standard deviation.
• Option B: $19^{\circ}<20^{\circ}$, so it is not within one standard deviation.
• Option C: $20^{\circ}<22^{\circ}<28^{\circ}$, so it is within one standard deviation.
• Option D: $30^{\circ}>28^{\circ}$, so it is not within one standard deviation.

Answer:

C. $22^{\circ}$