In general, if the sample size is large, adding an extremely large outlier to a data set will not substantially affect _________
a. the sample standard deviation
b. the sample mean
c. the sample median
d. none of the above.
Answer: We know that the median is least affected by outliers, because adding an outlier will only affect the tails not the center of the data distribution. Therefore, adding an extremely large outlier to a data set will not substantially affect the sample median. Hence the option C. the sample median is correct
Outliers are data elements that are relatively far from the other data elements.
The true option is (c) the sample median
From the question, we understand that:
The sample size is large
When a large outlier is added, the sample mean would definitely be altered.
The sample standard deviation is dependent on the mean, so it will also be altered.
However, the median may or may not be affected.
And if it is affected, it would not be a substantial effect.
This is so, because medians are usually not affected by outliers.
Hence, the true option is (c) the sample median
Read more about outliers at:
https://brainly.com/question/17139847
