Question

the graph represents the distribution of the number of questions answered correctly on a 50 - question math test. what is the standard deviation of the data? 4 8 12 24

Explanation:

Step1: Recall the property of normal distribution

In a normal distribution, the distance between the mean and one - standard - deviation mark is the value of the standard deviation.

Step2: Analyze the graph

Assume the mean is at \(x = 36\) (the peak of the normal - distribution curve). One of the common points on a normal - distribution curve for standard deviation is the inflection point. If we consider the interval from the mean to the inflection point. Suppose the inflection point is at \(x = 40\) (a common visual assumption for a normal - like curve in such problems, where the distance from the mean \(36\) to \(40\) is \(4\)).

Answer:

4