Correct option is C
A negatively skewed distribution is characterized by:
- Skewness to the left: The tail of the distribution is longer on the left side.
- High scores concentrated on the right side of the graph.
- One high point or peak representing the mode, which is higher than the mean and median.
For example, a negatively skewed distribution might appear in data like exam scores where most students perform well, but a few score significantly lower.
Information Booster:
- Characteristics of Skewed Distributions:
- Negatively skewed: Mean < Median < Mode (tail on the left).
- Positively skewed: Mode < Median < Mean (tail on the right).
- Skewness:
- A measure of asymmetry in a dataset.
- Indicates whether data points cluster more toward one side of the distribution.
- Real-Life Examples of Skewness:
- Negative skew: Retirement ages, where most people retire around 60-65 but a few retire much earlier.
- Positive skew: Income distribution, where most people earn lower wages but a few earn very high salaries.
Additional Information:
Evenly Distributed Distribution (Option 1):
· Describes a uniform distribution where values are evenly spread across the range.
· No skewness exists, as the distribution is symmetrical and balanced.
Platykurtic Distribution (Option 2):
· Refers to a distribution with flat peaks and less pronounced tails, indicating low kurtosis.
· Kurtosis relates to the shape and sharpness of the peak, not the skewness or asymmetry of the distribution.
Positively Skewed Distribution (Option 4):
· This distribution has a tail extending to the right, opposite to the negatively skewed distribution.
· Most scores are low and clustered on the left, while a few higher scores stretch the tail to the right.