deepali was given two data sets, one without an outlier and one with an outlier.\ndata without an outlier…

deepali was given two data sets, one without an outlier and one with an outlier.\ndata without an outlier: 15, 19, 22, 26, 29\ndata with an outlier: 15, 19, 22, 26, 29, 81\nhow is the mean affected by an outlier?\n○ the outlier did not affect the mean at all.\n○ the outlier made the mean higher than all the other values.\n○ the outlier made the mean lower than all the other values.\n○ the mean is centered around all the other numbers in both sets of data.

deepali was given two data sets, one without an outlier and one with an outlier.\ndata without an outlier: 15, 19, 22, 26, 29\ndata with an outlier: 15, 19, 22, 26, 29, 81\nhow is the mean affected by an outlier?\n○ the outlier did not affect the mean at all.\n○ the outlier made the mean higher than all the other values.\n○ the outlier made the mean lower than all the other values.\n○ the mean is centered around all the other numbers in both sets of data.

Answer

Explanation:

Step1: Calculate mean without outlier

Sum the data: (15 + 19 + 22 + 26 + 29 = 111).
Number of values: (5).
Mean: (\frac{111}{5} = 22.2).

Step2: Calculate mean with outlier

Sum the data: (15 + 19 + 22 + 26 + 29 + 81 = 192).
Number of values: (6).
Mean: (\frac{192}{6} = 32).

Step3: Analyze the effect

The outlier (81) is much larger than other values. The mean with outlier (32) is higher than all original values (15, 19, 22, 26, 29).

Answer:

The outlier made the mean higher than all the other values.