Select the outlier in the data set. 4, 58, 60, 61, 62, 64, 65, 67, 72 If the outlier were removed from the data set, would the mean increase or decrease? Choices: (A)increase (B)decrease

Question

Select the outlier in the data set. 4, 58, 60, 61, 62, 64, 65, 67, 72  If the outlier were removed from the data set, would the mean increase or decrease?   Choices: (A)increase (B)decrease

Bytelearn · Accepted Answer

Identify Outlier: Identify the outlier in the given data set. The data set is: 4, 58, 60, 61, 62, 64, 65, 67, 72. An outlier is a value that is significantly higher or lower than most of the other values in a data set. To identify an outlier, we can use the interquartile range (IQR) method or simply look for a value that is distinctly separate from the cluster of other values. In this case, without calculating the IQR, we can see that the number 4 is much lower than all the other numbers, which are all 58 or higher. Therefore, 4 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 then divide by the number of values. Mean = (4 + 58 + 60 + 61 + 62 + 64 + 65 + 67 + 72) / 9 Mean = 503 / 9 Mean ≈ 55.89Calculate Mean without Outlier: Calculate the mean of the data set without the outlier. Remove the outlier (4) and then calculate the new mean. New Mean = (58 + 60 + 61 + 62 + 64 + 65 + 67 + 72) / 8 New Mean = 509 / 8 New Mean ≈ 63.63Compare 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 55.89, and the new mean without the outlier is approximately 63.63. Since the new mean is higher than the original mean, the mean would increase if the outlier were removed.

Select the outlier in the data set. $\newline$ $4, 58, 60, 61, 62, 64, 65, 67, 72$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease

Full solution

More problems from Identify an outlier and describe the effect of removing it

Related topics

Select the outlier in the data set.\newline4,58,60,61,62,64,65,67,724, 58, 60, 61, 62, 64, 65, 67, 724,58,60,61,62,64,65,67,72\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease

Select the outlier in the data set. $\newline$ $4, 58, 60, 61, 62, 64, 65, 67, 72$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease