Assume that the histogram of a data set is symmetric and bell shaped, with a mean of 75 and standard deviation of 10. Then, approximately 95% of the data values were between 55 and 95.

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Quizplus · Accepted Answer

This is a characteristic of a normal distribution, which is symmetric and bell shaped. The empirical rule states that approximately 95% of the data values fall within two standard deviations of the mean. In this case, two standard deviations below the mean is 55 and two standard deviations above the mean is 95, so approximately 95% of the data values fall between these two values.

Assume That the Histogram of a Data Set Is Symmetric