Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Select the outlier in the data set.\newline6,74,76,79,85,91,94,96,986, 74, 76, 79, 85, 91, 94, 96, 98\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.\newline6,74,76,79,85,91,94,96,986, 74, 76, 79, 85, 91, 94, 96, 98\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 given data set.\newlineThe data set is: 6,74,76,79,85,91,94,96,986, 74, 76, 79, 85, 91, 94, 96, 98\newlineAn outlier is a data point that is significantly different from the rest of the data. We can often spot an outlier by looking for a number that is much smaller or larger than the rest.\newlineIn this case, the number 66 stands out as being much smaller than the other numbers in the set.
  2. Calculate Mean with Outlier: Calculate the mean of the data set with the outlier included.\newlineTo find the mean, add all the numbers together and then divide by the number of data points.\newlineMean = (6+74+76+79+85+91+94+96+98)/9(6 + 74 + 76 + 79 + 85 + 91 + 94 + 96 + 98) / 9\newlineMean = 699/9699 / 9\newlineMean = 77.66677.666\ldots
  3. Calculate Mean without Outlier: Calculate the mean of the data set without the outlier.\newlineRemove the outlier 66 and then calculate the mean of the remaining numbers.\newlineMean without outlier = 74+76+79+85+91+94+96+988\frac{74 + 76 + 79 + 85 + 91 + 94 + 96 + 98}{8}\newlineMean without outlier = 6938\frac{693}{8}\newlineMean without outlier = 86.62586.625
  4. Compare Mean Changes: Compare the two means to determine if the mean would increase or decrease upon the removal of the outlier. The mean with the outlier included is approximately 77.6777.67, and the mean without the outlier is 86.62586.625. Since 86.62586.625 is greater than 77.6777.67, the mean would increase if the outlier were removed.

More problems from Identify an outlier and describe the effect of removing it