If the data set has a mean of 50 and a median of 45, what can be said about the data distribution?
Practice Questions
1 question
Q1
If the data set has a mean of 50 and a median of 45, what can be said about the data distribution?
Symmetric
Positively skewed
Negatively skewed
Uniform
Since the mean is greater than the median, the distribution is positively skewed.
Questions & Step-by-step Solutions
1 item
Q
Q: If the data set has a mean of 50 and a median of 45, what can be said about the data distribution?
Solution: Since the mean is greater than the median, the distribution is positively skewed.
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 50 and the median is 45.
Step 3: Compare the mean and median. Since 50 (mean) is greater than 45 (median), this indicates a certain shape of the data distribution.
Step 4: Recall that if the mean is greater than the median, the data is typically skewed to the right, which is called positively skewed.
Step 5: Conclude that the data distribution is positively skewed because the mean is higher than the median.
