Which has the smallest standard deviation?

What has the smallest standard deviation?

The smallest standard deviation possible in a distribution is 0. This occurs when each element of the distribution is the same.

How do you find the largest and smallest standard deviation?

0:431:32Which Graph Has Larger Standard Deviation — YouTubeYouTubeStart of suggested clipEnd of suggested clipThere's not as many right at the mean. Here there's a lot of values right around the mean and whenMoreThere's not as many right at the mean. Here there's a lot of values right around the mean and when we get further away from the mean there's fewer. This has a small standard deviation.

How do you find a small standard deviation?

A large standard deviation, which is the square root of the variance, indicates that the data points are far from the mean, and a small standard deviation indicates that they are clustered closely around the mean.

Which data set has the smaller standard deviation?

The standard deviation is small when the data are all concentrated close to the mean, and is larger when the data values show more variation from the mean. When the standard deviation is a lot larger than zero, the data values are very spread out about the mean; outliers can make s or σ very large.

What is the largest possible standard deviation?

For question (b) there is only one correct answer, which is 0, 0, 10, 10. Here are five different sets of four numbers. As you can see, the set {0, 0, 10, 10} does have the largest possible standard deviation.

What is the standard deviation if the variance is 9?

To figure out the variance, divide the sum, 82.5, by N-1, which is the sample size (in this case 10) minus 1. The result is a variance of 82.5/9 = 9.17. Standard deviation is the square root of the variance so that the standard deviation would be about 3.03.

Which histogram has the smallest standard deviation?

To begin to understand what a standard deviation is, consider the two histograms. Histogram 1 has more variation than Histogram 2. In the first histogram, the largest value is 9, while the smallest value is 1. The overall range of data is 9 — 1 = 8….Standard Deviation.