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Select the outlier in the data set.\newline5,54,58,59,60,63,65,705, 54, 58, 59, 60, 63, 65, 70\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease

Full solution

Q. Select the outlier in the data set.\newline5,54,58,59,60,63,65,705, 54, 58, 59, 60, 63, 65, 70\newlineIf the outlier were removed from the data set, would the mean increase or decrease?\newlineChoices:\newline(A)increase\newline(B)decrease
  1. Identify Outlier: Identify the outlier in the data set.\newlineTo find the outlier, we can look for a number that is significantly different from the rest of the numbers in the set. In this case, the number 55 stands out as being much lower than all other numbers, which are all above 5050.
  2. Calculate Mean: Calculate the mean of the original data set.\newlineTo calculate the mean, add all the numbers together and divide by the number of values in the set.\newlineMean = (5+54+58+59+60+63+65+70)/8(5 + 54 + 58 + 59 + 60 + 63 + 65 + 70) / 8\newlineMean = (384)/8(384) / 8\newlineMean = 4848

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