If the data set has a mean of 30 and a median of 25, what does this indicate?
Practice Questions
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
Questions & Step-by-Step Solutions
If the data set has a mean of 30 and a median of 25, what does this indicate?
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.
Mean vs. Median – Understanding the relationship between mean and median helps identify the skewness of a data set.
Skewness – Positive skewness indicates that the tail on the right side of the distribution is longer or fatter than the left side.
