orWatch a videoSelect the outlier in the data set.46566266719197722If the outlier were removed from the data set, would the mean increase or decrease?increasedecreaseSubmit
Question
orWatch a videoSelect the outlier in the data set.46566266719197722If the outlier were removed from the data set, would the mean increase or decrease?increasedecreaseSubmit
Solution
The first step is to identify the outlier in the data set. The data set given is 46, 56, 62, 66, 71, 91, 97, 72, 2. The outlier in this data set is 2, as it is significantly lower than the other values.
The second step is to determine how the mean would change if this outlier were removed. The mean (average) is calculated by adding all the numbers in a set and then dividing by the number of items in the set.
If we calculate the mean with the outlier, we get (46+56+62+66+71+91+97+72+2)/9 = 56.33.
If we calculate the mean without the outlier, we get (46+56+62+66+71+91+97+72)/8 = 70.12.
Comparing these two means, we can see that the mean is higher when the outlier (2) is removed. Therefore, the mean would increase if the outlier were removed.
Similar Questions
What happens to the mean if an outlier is added to a data set?It remains unchanged.It becomes the new median.It may be skewed in the direction of the outlier.It becomes the mode
Question 4Which measure of variability is most likely to be affected by an outlier?1 pointStandard deviationMeanVarianceBRange
Question 1Which measure of central tendency is the most affected by an outlier in the data set?1 pointMedianModeMeanMidpoint
Which of the following is not affected by outliers?
How did the outlier affect the scores?
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