Select the outlier in the data set.10,11,17,35,45,69,89,91,496If 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.10,11,17,35,45,69,89,91,496If the outlier were removed from the data set, would the mean increase or decrease?Choices:(A)increase(B)decrease
Identify the outlier: Identify the outlier in the given data set.The data set is: 10,11,17,35,45,69,89,91,496An outlier is a data point that is significantly different from the other data points in a set. We can often spot an outlier by looking for a number that is much larger or smaller than the rest.
Spotting the outlier: Looking at the data set, we can see that the number 496 is much larger than all the other numbers, which are relatively close to each other. Therefore, 496 is the outlier.
Calculate mean with outlier: Calculate the mean of the data set with the outlier included.Mean = (10+11+17+35+45+69+89+91+496)/9Mean = (863)/9Mean ≈95.89
Calculate mean without outlier: Calculate the mean of the data set without the outlier.Mean without outlier = (10+11+17+35+45+69+89+91)/8Mean without outlier = (367)/8Mean without outlier ≈45.88
Compare mean with and without outlier: Compare the two means to determine if the mean would increase or decrease upon the removal of the outlier. The mean with the outlier is approximately 95.89, and the mean without the outlier is approximately 45.88. Removing the outlier significantly decreases the mean.
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