Select the outlier in the data set. 6, 48, 54, 57, 58, 60, 62, 72 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. 6, 48, 54, 57, 58, 60, 62, 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 the outlier: Identify the outlier in the data set. To find the outlier, we can look for a number that is significantly different from the rest of the numbers in the data set. The data set is: 6, 48, 54, 57, 58, 60, 62, 72. At first glance, the number 6 stands out as being much lower than the rest of the numbers.Confirm outlier comparison: Confirm the outlier by comparing it to the rest of the data. We can calculate the range and see if 6 falls far outside the typical range of the data. The next lowest number is 48, and the highest is 72. The range of the rest of the data (excluding 6) is from 48 to 72, which is a range of 24. The number 6 is 42 units away from the next closest number, which is a significant difference compared to the range of the other numbers. This confirms that 6 is an outlier.Calculate mean with outlier: Calculate the mean of the data set with the outlier included. To find the mean, we add up all the numbers and divide by the total count. The sum of the data set is 6 + 48 + 54 + 57 + 58 + 60 + 62 + 72 = 417. The total count is 8. So, the mean is 417 / 8 = 52.125.Calculate mean without outlier: Calculate the mean of the data set without the outlier. Now we remove the outlier (6) and calculate the new mean. The new sum is 417 - 6 = 411. The new total count is 8 - 1 = 7. So, the new mean is 411 / 7 ≈ 58.714.Determine mean change: Determine if the mean will increase or decrease after removing the outlier. Comparing the original mean (52.125) with the new mean (58.714), we can see that the mean has increased after removing the outlier.

Select the outlier in the data set. $\newline$ $6, 48, 54, 57, 58, 60, 62, 72$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease

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Select the outlier in the data set.\newline6,48,54,57,58,60,62,726, 48, 54, 57, 58, 60, 62, 726,48,54,57,58,60,62,72\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. $\newline$ $6, 48, 54, 57, 58, 60, 62, 72$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease