Given the data set 5 10 12 14 18 60
Which of the following is true regarding this data
A. The value of the outliner is 60
B. The value 5 is the outliner
C. Multiple outliners exist
D. no outliners exist
5 answers
A. The value of the outlier is 60
If the outliner is excluded what happens to the median, mean, mode, and the range, Which one increases and which ones decrease
If the outlier (value 60) is excluded from the data set, the effects on the median, mean, mode, and range are as follows:
- Median: The median will decrease, as the highest value is removed.
- Mean: The mean will decrease, as the value of 60 has a larger effect on the mean than the other values.
- Mode: The mode will remain the same, as it is the value that occurs most frequently in the data set, and the removal of one value does not change the other values' frequency.
- Range: The range will decrease, as the difference between the highest and lowest values is reduced when the highest value (60) is excluded.
- Median: The median will decrease, as the highest value is removed.
- Mean: The mean will decrease, as the value of 60 has a larger effect on the mean than the other values.
- Mode: The mode will remain the same, as it is the value that occurs most frequently in the data set, and the removal of one value does not change the other values' frequency.
- Range: The range will decrease, as the difference between the highest and lowest values is reduced when the highest value (60) is excluded.
So nothing increases
That is correct. Excluding the outlier in this particular data set will result in a decrease in the median, mean, and range, but the mode will remain the same. None of the statistics will increase.
1 answer