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What is an example of small standard deviation?

For example, a weather reporter is analyzing the high temperature forecasted for two different cities. A low standard deviation would show a reliable weather forecast. The mean temperature for City A is 94.6 degrees, and the mean for City B is 86.1 degrees.

What’s a small standard deviation?

Basically, a small standard deviation means that the values in a statistical data set are close to the mean (or average) of the data set, and a large standard deviation means that the values in the data set are farther away from the mean. … The second data set isn't better, it's just less variable.

What is a good example of standard deviation?

The standard deviation measures the spread of the data about the mean value. It is useful in comparing sets of data which may have the same mean but a different range. For example, the mean of the following two is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. However, the second is clearly more spread out.

Is 2 a small standard deviation?

The empirical rule, or the 68-95-99.7 rule, tells you where most of the values lie in a normal distribution: Around 68% of values are within 1 standard deviation of the mean. Around 95% of values are within 2 standard deviations of the mean.

Which set has a smaller standard deviation?

The smallest standard deviation possible in a distribution is 0. This occurs when each element of the distribution is the same. A deviation is a data point's distance from the distribution mean. If all points in the distribution are the same, then the mean is the same as each distribution point.

Which graph has the smallest standard deviation?

0:541:32Which Graph Has Larger Standard Deviation — YouTubeYouTube

Is it good to have a small standard deviation?

A high standard deviation shows that the data is widely spread (less reliable) and a low standard deviation shows that the data are clustered closely around the mean (more reliable).

What is considered a high and low standard deviation?

Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out. A standard deviation close to zero indicates that data points are close to the mean, whereas a high or low standard deviation indicates data points are respectively above or below the mean.