Scaling and shifting normal distribution

1. How do you shift a normal distribution?
2. What is scale in normal distribution?
3. Is standard deviation affected by scaling or shifting?
4. How does scaling change standard deviation?

How do you shift a normal distribution?

Specifically, the normal distribution model can be adjusted using two parameters: mean and standard deviation. As you can probably guess, changing the mean shifts the bell curve to the left or right, while changing the standard deviation stretches or constricts the curve.

What is scale in normal distribution?

In a standard normal model, the scale is equal to the standard deviation, σ. Without a scale on a graph, you can't extract any information from it, even given that the area under the graph is 1. The top graph here is a standard normal distribution without any scale parameters.

Is standard deviation affected by scaling or shifting?

While it's true that shifting (adding a constant) makes no difference to standard deviation, scaling certainly does. It doesn't matter what the distributional shape is!

How does scaling change standard deviation?

When data is rescaled the median, mean(μ), and standard deviation(σ) are all rescaled by the same constant. You will multiply by the scaling constant k to determine the new mean, median, or standard deviation. The variance(σ²) is rescaled by multiplying by the scaling constant squared.