Find the mean and standard deviation for the following data set. Round to the nearest tenth. 11, 14, 15, 15, 16, 16, 17, 18, 19, 23 Use the mean and standard deviation to select the correct statement
Mean: (11 + 14 + 15 + 15 + 16 + 16 + 17 + 18 + 19 + 23) / 10 = 159 / 10 = 15.9
Standard deviation: 3.3
Based on the mean and standard deviation, we can select the correct statement:
A. The data set is normally distributed - This statement cannot be determined solely from the mean and standard deviation.
B. The data set has a relatively low variability - False, as the standard deviation of 3.3 indicates some variability in the data.
C. The mean is a good representation of the data set - True, as the mean of 15.9 is close to the center of the data set.
D. Outliers are present in the data set - False, as no extreme values are present in the data set that would significantly impact the mean and standard deviation.