Select the outlier in the data set. 76, 83, 87, 89, 94, 96, 98, 620 If the outlier were removed from the data set, would the mean increase or decrease? Choices: (A)increase (B)decrease

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Select the outlier in the data set. 76, 83, 87, 89, 94, 96, 98, 620  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 data set. To find the outlier, we look for a number that is significantly different from the rest of the numbers in the data set. The numbers are 76, 83, 87, 89, 94, 96, 98, 620. It is clear that 620 is much larger than all other numbers, which are all below 100.Determine Outlier: Determine if 620 is an outlier. An outlier is a value that is significantly higher or lower than the other values in a data set. In this case, 620 is much higher than the rest of the values, which are all clustered below 100. Therefore, 620 is the outlier.Calculate Mean with Outlier: Calculate the mean of the data set with the outlier. To find the mean, add all the numbers together and divide by the number of values. The sum of the numbers is 76 + 83 + 87 + 89 + 94 + 96 + 98 + 620 = 1243. There are 8 numbers in total. Mean with outlier = 1243 / 8 = 155.375Calculate Mean without Outlier: Calculate the mean of the data set without the outlier. To find the new mean, subtract the outlier from the sum of the data set and divide by the new number of values (7 instead of 8). The new sum is 1243 - 620 = 623. Mean without outlier = 623 / 7 ≈ 88.99Compare Means: Compare the means to determine if the mean would increase or decrease. The original mean with the outlier was 155.375, and the mean without the outlier is approximately 88.99. Since the mean without the outlier is less than the mean with the outlier, removing the outlier would decrease the mean.

Select the outlier in the data set. $\newline$ $76, 83, 87, 89, 94, 96, 98, 620$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease

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Select the outlier in the data set.\newline76,83,87,89,94,96,98,62076, 83, 87, 89, 94, 96, 98, 62076,83,87,89,94,96,98,620\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. $\newline$ $76, 83, 87, 89, 94, 96, 98, 620$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease