If the data set has a mean of 50 and a median of 45, what can be said about the
Practice Questions
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
Questions & Step-by-Step Solutions
If the data set has a mean of 50 and a median of 45, what can be said about the data distribution?
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.
Mean vs. Median – Understanding the relationship between mean and median helps determine the skewness of a data distribution.
Data Distribution – Recognizing how data can be positively or negatively skewed based on the relative positions of mean and median.
