The standard deviation of the data represented is 4 Hope this helps
The standard deviation for this normal distribution is 4, the correct option is A.
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.
Let's recall that for the normal distribution, as we can see in the graph attached, the values start the upward trend when the x-axis is at the value of the mean minus 3 times the standard deviation, and the downward trend finishes when the x-axis is at the value of the mean plus 3 times the standard deviation and it accounts for 99.73% of the set, the sample or the population.
Therefore, for this case:
Mean = 36
Mean - 3 times the standard deviation = 24
Mean + 3 times the standard deviation = 48
Standard deviation = (36 - 24)/3 = 12/3 = 4
Hence, the standard deviation for this normal distribution is A. 4.
Learn more about standard deviation here;
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