In a data set, the mean is 20 and the median is 18. What can be said about the data?
Practice Questions
1 question
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
Since the mean is greater than the median, the data is positively skewed.
Questions & Step-by-step Solutions
1 item
Q
Q: In a data set, the mean is 20 and the median is 18. What can be said about the data?
Solution: Since the mean is greater than the median, the data is positively skewed.
Steps: 6
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.
