In a data set, the mean is 20 and the median is 18. What can be said about the d
Practice Questions
Q1
In a data set, the mean is 20 and the median is 18. What can be said about the data?
Positively skewed
Negatively skewed
Symmetrical
Uniform
Questions & Step-by-Step Solutions
In a data set, the mean is 20 and the median is 18. What can be said about the data?
Correct Answer: Data is positively skewed.
Step 1: Understand what the mean is. The mean is the average of all the numbers in the data set.
Step 2: Understand what the median is. The median is the middle number when all the numbers are arranged in order.
Step 3: Compare the mean and the median. In this case, the mean is 20 and the median is 18.
Step 4: Notice that the mean (20) is greater than the median (18).
Step 5: Recognize that when the mean is greater than the median, it usually indicates that there are some higher values in the data set that are pulling the mean up.
Step 6: Conclude that the data is positively skewed, meaning it has a longer tail on the right side.
