The data set shown below has an outlier. Determine the outlier and then fill out the chart.
Data: 5, 10, 12, 14, 18, 24, 60
If the outlier is excluded, what happens to:
Increase
Decrease
No effect
A
the median?
B
the mean?
C
the mode?
D
the range?
The outlier in the data set is 60.
If the outlier is excluded:
A) the median will decrease. The median is the middle value in a data set, and since the outlier is the largest value, removing it will result in a lower middle value.
B) the mean will decrease. The mean is the average value of a data set, and since the outlier is a significantly larger value compared to the other data points, removing it will lower the overall average.
C) the mode will have no effect. The mode is the value that appears most frequently in a data set, and removing the outlier does not change the frequency of the other values.
D) the range will decrease. The range is the difference between the largest and smallest values in a data set, and since the largest value (the outlier) is removed, the difference between the remaining values will be smaller.