Select the outlier in the data set.3,79,81,84,85,87,92,94,99If the outlier were removed from the data set, would the mean increase or decrease?Choices:(A)increase(B)decrease
Q. Select the outlier in the data set.3,79,81,84,85,87,92,94,99If the outlier were removed from the data set, would the mean increase or decrease?Choices:(A)increase(B)decrease
Identify Outlier: Identify the outlier in the given data set: 3,79,81,84,85,87,92,94,99. An outlier is a data point that is significantly different from the rest of the data. We can often spot an outlier by looking for a number that seems much lower or higher than the rest. In this case, 3 is much lower than all other numbers in the set, so it is the outlier.
Calculate Mean with Outlier: Calculate the mean of the data set with the outlier included.To find the mean, add all the numbers together and divide by the number of data points.Mean = (3+79+81+84+85+87+92+94+99)/9Mean = (704)/9Mean ≈78.22 (rounded to two decimal places)
Calculate Mean without Outlier: Calculate the mean of the data set without the outlier.Remove 3 from the data set and then calculate the new mean.New Mean = (79+81+84+85+87+92+94+99)/8New Mean = (701)/8New Mean ≈87.63 (rounded to two decimal places)
Compare Mean Changes: Compare the two means to determine if the mean would increase or decrease upon the removal of the outlier. The original mean with the outlier was approximately 78.22, and the new mean without the outlier is approximately 87.63. Since 87.63 is greater than 78.22, the mean would increase if the outlier were removed.
More problems from Identify an outlier and describe the effect of removing it