Final answer:
To make a skewed distribution normal, transformations, outlier removal, and smoothing are viable strategies. These methods adjust the distribution's shape to align mean, median, and mode closer together in a symmetric manner.
Step-by-step explanation:
To make a skewed distribution normal, there are several strategies we can use. Three applicable strategies include:
- Transformation: Apply a mathematical function to the data points in the distribution to make the shape more symmetric. Common transformations include logarithmic, square root, and reciprocal transformations.
- Outlier removal: Identify and remove outliers, which are extreme values that might distort the distribution's shape. Use numerical tests involving the Interquartile Range (IQR) or standard deviation to detect outliers.
- Smoothing: Utilize methods like kernel smoothing or moving averages to create a smoother, more normal distribution curve by averaging adjacent data points.
These strategies help adjust the distribution to closely adhere to a normal distribution where the mean, median, and mode are closely aligned, which is characteristic of symmetrical distributions.