Select the outlier in the data set.6,74,76,79,85,91,94,96,98If 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.6,74,76,79,85,91,94,96,98If 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.The data set is: 6,74,76,79,85,91,94,96,98An 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 is much smaller or larger than the rest.In this case, the number 6 stands out as being much smaller than the other numbers in the set.
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 then divide by the number of data points.Mean = (6+74+76+79+85+91+94+96+98)/9Mean = 699/9Mean = 77.666…
Calculate Mean without Outlier: Calculate the mean of the data set without the outlier.Remove the outlier 6 and then calculate the mean of the remaining numbers.Mean without outlier = 874+76+79+85+91+94+96+98Mean without outlier = 8693Mean without outlier = 86.625
Compare Mean Changes: Compare the two means to determine if the mean would increase or decrease upon the removal of the outlier. The mean with the outlier included is approximately 77.67, and the mean without the outlier is 86.625. Since 86.625 is greater than 77.67, the mean would increase if the outlier were removed.
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