given the mean of a data set is 48 and the standard deviation is 6, where will about 68% of the data lie? 8…
given the mean of a data set is 48 and the standard deviation is 6, where will about 68% of the data lie? 8 to 24 42 to 54 54 to 60
Answer
Answer:
B. 42 to 54
Explanation:
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 bound
The lower bound is $\mu-\sigma$, where $\mu = 48$ (mean) and $\sigma = 6$ (standard deviation). So, $48 - 6=42$.
Step3: Calculate the upper bound
The upper bound is $\mu+\sigma$. So, $48 + 6 = 54$. So about 68% of the data lies between 42 and 54.