Asked by Caitlin Delbridge on Sep 23, 2024
Verified
In a negatively skewed distribution,the mean is smaller than the median and the median is smaller than the mode.
Negatively Skewed
A characteristic of a distribution where the tail on the left side of the distribution is longer or fatter than the right side, indicating that the bulk of the values lie to the right side.
Median
The middle value in a sorted list of numbers, dividing the data into two halves.
Mode
The value that appears most frequently in a dataset.
- Understand the relationship between the mean, median, and mode in different types of distributions.
Verified Answer
DP
Darshit Patel2 days ago
Final Answer :
True
Explanation :
In a negatively skewed distribution, there are extreme values in the low end of the distribution, pulling the tail to the left. This causes the mean to be smaller than the median, since the outliers are below the average. Additionally, the median is smaller than the mode because the tail pulls most of the data to the left, causing the single peak of the distribution to be at a higher value than the median.
Learning Objectives
- Understand the relationship between the mean, median, and mode in different types of distributions.