Select the outlier in the data set. 7, 72, 78, 83, 84, 89, 93, 98 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. 7, 72, 78, 83, 84, 89, 93, 98  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: 7, 72, 78, 83, 84, 89, 93, 98. An outlier is a value that is significantly higher or lower than 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 different from the rest. In this case, without calculating the IQR, we can see that the number 7 is much lower than all other numbers, which are all above 70.Calculate Mean with Outlier: Calculate the mean of the data set with the outlier included. Mean = (Sum of all values) / (Number of values) Mean = (7 + 72 + 78 + 83 + 84 + 89 + 93 + 98) / 8 Mean = (604) / 8 Mean = 75.5Calculate Mean without Outlier: Calculate the mean of the data set without the outlier. Mean without outlier = (Sum of all values - Outlier) / (Number of values - 1) Mean without outlier = (604 - 7) / (8 - 1) Mean without outlier = (597) / 7 Mean without outlier = 85.2857142857Compare Means: Compare the means to determine if the mean would increase or decrease upon the removal of the outlier. The mean with the outlier is 75.5, and the mean without the outlier is approximately 85.29. Since the mean without the outlier is higher, removing the outlier would increase the mean.

Select the outlier in the data set. $\newline$ $7, 72, 78, 83, 84, 89, 93, 98$ $\newline$ 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.\newline7,72,78,83,84,89,93,987, 72, 78, 83, 84, 89, 93, 987,72,78,83,84,89,93,98\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. $\newline$ $7, 72, 78, 83, 84, 89, 93, 98$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease