Q. Select the outlier in the data set.50,60,62,63,65,72,82,956
Identify Outlier: List the data set and observe the values to identify any number that appears to be significantly different from the rest.Data set: 50,60,62,63,65,72,82,956Looking at the data set, we can see that the number 956 is much larger than all the other numbers, which are relatively close to each other.
Calculate Mean: To confirm the outlier, we can calculate the mean and standard deviation of the data set, excluding the suspected outlier, and then see if the suspected outlier falls far outside the range of the mean plus or minus two standard deviations.First, calculate the mean of the data set without the suspected outlier (956).Mean = (50+60+62+63+65+72+82)/7Mean = 454/7Mean ≈64.86
Calculate Standard Deviation: Calculate the standard deviation of the data set without the suspected outlier. For simplicity, we will not calculate the standard deviation here, but we will proceed with the assumption that the standard deviation is not large enough to include the value 956 within two standard deviations of the mean.
Compare to Mean and SD: Compare the suspected outlier to the mean and standard deviation.If 956 is more than two standard deviations away from the mean, it is considered an outlier.Given that the mean is approximately 64.86 and the rest of the numbers are close to this mean, it is reasonable to conclude that 956, being much larger, is an outlier.