Select the outlier in the data set. 50, 57, 73, 80, 93, 96, 98, 629 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. 50, 57, 73, 80, 93, 96, 98, 629  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 given data set. The data set is: 50, 57, 73, 80, 93, 96, 98, 629. An outlier is a data point that is significantly different from the other data points in a set. We can often spot an outlier by looking for a number that is much higher or lower than the rest of the numbers in the set. In this case, 629 is much higher than all the other numbers, so it 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 data points. Mean = (50 + 57 + 73 + 80 + 93 + 96 + 98 + 629) / 8 Mean = (1176 + 629) / 8 Mean = 1805 / 8 Mean = 225.625Calculate Mean without Outlier: Calculate the mean of the data set without the outlier. To find the new mean, subtract the outlier from the previous total and then divide by the new number of data points (7 instead of 8). New Mean = (1805 - 629) / 7 New Mean = 1176 / 7 New Mean = 168Compare Means: Compare the two means to determine if the mean would increase or decrease with the removal of the outlier. The original mean with the outlier was 225.625, and the new mean without the outlier is 168. Since 168 is less than 225.625, the mean would decrease if the outlier were removed.

Select the outlier in the data set. $\newline$ $50, 57, 73, 80, 93, 96, 98, 629$ $\newline$ 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.\newline50,57,73,80,93,96,98,62950, 57, 73, 80, 93, 96, 98, 62950,57,73,80,93,96,98,629\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. $\newline$ $50, 57, 73, 80, 93, 96, 98, 629$ $\newline$ If the outlier were removed from the data set, would the mean increase or decrease? $\newline$ Choices: $\newline$ (A)increase $\newline$ (B)decrease