In a data set, the mean is 20 and the median is 18. What can be inferred about the data?
Practice Questions
1 question
Q1
In a data set, the mean is 20 and the median is 18. What can be inferred about the data?
Skewed right
Skewed left
Symmetric
Uniform
Since the mean is greater than the median, the data is skewed right.
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 inferred about the data?
Solution: Since the mean is greater than the median, the data is skewed right.
Steps: 5
Step 1: Understand what mean and median are. The mean is the average of all numbers, and the median is the middle number when all numbers are arranged in order.
Step 2: Identify the values given in the question. The mean is 20 and the median is 18.
Step 3: Compare the mean and median. Since 20 (mean) is greater than 18 (median), this indicates a certain distribution of the data.
Step 4: Recognize that when the mean is greater than the median, it often means that there are some higher values in the data set that are pulling the mean up.
Step 5: Conclude that the data is likely skewed to the right, meaning there are some unusually high values that affect the average more than the middle value.
