Select the outlier in the data set. 53, 63, 67, 69, 70, 71, 72, 76, 747 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. 53, 63, 67, 69, 70, 71, 72, 76, 747  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: 53, 63, 67, 69, 70, 71, 72, 76, 747. An outlier is a data point that is significantly different from the rest of the data. In this case, 747 is much larger than all other numbers and is the outlier.Remove Outlier: Remove the outlier 747 from the data set and observe the change in the mean. The original data set with the outlier: 53, 63, 67, 69, 70, 71, 72, 76, 747. The data set without the outlier: 53, 63, 67, 69, 70, 71, 72, 76.Calculate Mean with Outlier: Calculate the mean of the original data set with the outlier. Mean with outlier = (53 + 63 + 67 + 69 + 70 + 71 + 72 + 76 + 747) / 9 Mean with outlier = (1238 + 747) / 9 Mean with outlier = 1985 / 9 Mean with outlier ≈ 220.56Calculate Mean without Outlier: Calculate the mean of the data set without the outlier. Mean without outlier = (53 + 63 + 67 + 69 + 70 + 71 + 72 + 76) / 8 Mean without outlier = 541 / 8 Mean without outlier ≈ 67.625Compare Means: Compare the means to determine if the mean would increase or decrease upon removal of the outlier. The mean with the outlier is approximately 220.56, and the mean without the outlier is approximately 67.625. Removing the outlier significantly decreases the mean.

Select the outlier in the data set. $\newline$ $53, 63, 67, 69, 70, 71, 72, 76, 747$ $\newline$ 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.\newline53,63,67,69,70,71,72,76,74753, 63, 67, 69, 70, 71, 72, 76, 74753,63,67,69,70,71,72,76,747\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. $\newline$ $53, 63, 67, 69, 70, 71, 72, 76, 747$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease