Can there be a standard deviation of 0?

Can there be a standard deviation of 0?

to what extent a set of numbers lie apart. A standard deviation can range from 0 to infinity. A standard deviation of 0 means that a list of numbers are all equal -they don't lie apart to any extent at all.

What happens to the standard deviation when a constant is added?

As Bungo says, adding a constant will not change the standard deviation. Multiplying by a constant will; it will multiply the standard deviation by its absolute value.

What's the difference between mean and standard deviation?

Standard deviation is basically used for the variability of data and frequently use to know the volatility of the stock. A mean is basically the average of a set of two or more numbers. Mean is basically the simple average of data. Standard deviation is used to measure the volatility of a stock.

What is the standard deviation of a data with equal value of entries?

This means that for every i, the term (xi - x )2 = 0. This means that every data value is equal to the mean. This result along with the one above allows us to say that the sample standard deviation of a data set is zero if and only if all of its values are identical.

Is standard deviation affected by multiplication?

So the variance and standard deviation of A and B are both the same; they are 2 and square root of 2, respectively. Also, multiplying each score in a sample or population by a constant factor will multiply the standard deviation by that same factor.

How does changing the standard deviation and the mean affect the normal distribution?

Know that changing the mean of a normal density curve shifts the curve along the horizontal axis without changing its shape. Know that increasing the standard deviation produces a flatter and wider bell-shaped curve and that decreasing the standard deviation produces a taller and narrower curve.

How do you add standard deviations together?

You cannot just add the standard deviations. Instead, you add the variances. Those are built up from the squared differences between every individual value from the mean (the squaring is done to get positive values only, and for other reasons, that I won't delve into).