the mean of the temperatures in the chart is 24° with a standard deviation of 4°. which temperature is…

Explanation:

Step1: Determine the range

The range within one - standard deviation of the mean is from $\mu-\sigma$ to $\mu + \sigma$, where $\mu = 24$ (mean) and $\sigma=4$ (standard deviation). $\mu-\sigma=24 - 4=20$ and $\mu+\sigma=24 + 4 = 28$.

Step2: Check the options

We check each option to see if it lies within the range $[20,28]$.

• For $18^{\circ}$, $18<20$, so it is not within the range.
• For $19^{\circ}$, $19<20$, so it is not within the range.
• For $22^{\circ}$, $20\leqslant22\leqslant28$, so it is within the range.
• For $30^{\circ}$, $30>28$, so it is not within the range.

Answer:

$22^{\circ}$