QUESTION IMAGE
Question
given the mean of a data set is 56 and the standard deviation is 10, where will about 68% of the data lie? 1 to 10 46 to 66 10 to 56
Step1: Recall the empirical rule
In a normal - distribution, about 68% of the data lies within 1 standard deviation of the mean.
Step2: Calculate the lower and upper bounds
The lower bound is the mean minus the standard deviation: $56 - 10=46$. The upper bound is the mean plus the standard deviation: $56 + 10 = 66$.
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B. 46 to 66