The temperature which is within one standard deviation of the mean is 22 degree Celsius of the graph of average daily temperatures.
What is the mean and standard deviation of data?
The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The graph below in the attached image shows the average daily temperatures on January 1 from 1900 to 1934 for city A.
A graph shows the average daily temperature on the x-axis, and number of years on the y-axis, from 1 to 4.
Interval within 1 standard deviation of the mean when the mean is μ and standard deviation σ can be given as,
[tex][\mu-\sigma, \mu+\sigma][/tex]
The mean of the temperatures in the chart is 24°, with a standard deviation of 4°. Put these values,
[tex][\mu-\sigma, \mu+\sigma]\\\ [24-4, 24+4]\\\ [20, 28][/tex]
The temperatures in the options given will be correct, which lies in the above range.
Thus, the temperature which is within one standard deviation of the mean is 22 degree Celsius of the graph of average daily temperatures.
Learn more about the mean here;
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