If the data set has a mean of 30 and a median of 25, what does this indicate?
Practice Questions
1 question
Q1
If the data set has a mean of 30 and a median of 25, what does this indicate?
Data is symmetrical
Data is positively skewed
Data is negatively skewed
Data is uniform
Since the mean is greater than the median, the data is positively skewed.
Questions & Step-by-step Solutions
1 item
Q
Q: If the data set has a mean of 30 and a median of 25, what does this indicate?
Solution: Since the mean is greater than the median, the data 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 30 and the median is 25.
Step 3: Compare the mean and median. Since 30 (mean) is greater than 25 (median), this indicates a certain distribution of the data.
Step 4: Learn about data skewness. If the mean is greater than the median, it usually means that there are some higher values (outliers) pulling the mean up.
Step 5: Conclude that the data is positively skewed, meaning it has a longer tail on the right side.