 asked in category: General Last Updated: 30th April, 2020

# Which data set has the smallest standard deviation?

The smallest possible standard deviation for any set is 0, and the standard deviation of a set will be zero when all the data points are the same.

Besides, what is 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. 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.

Similarly, which data set has largest standard deviation? As we can see, the data values from set D are the farthest from its mean out of all the data sets (four of its 5 values, -50, 33, 34, and 35, are farther from 10 than any values in the other data sets); thus, set D has the greatest standard deviation.

Likewise, how do you know if standard deviation is small or large?

The center of the graph is the mean, and the height and width of the graph are determined by the standard deviation. When the standard deviation is small, the curve will be tall and narrow in spread. When the standard deviation is large, the curve will be short and wide in spread.

What is an example of when you would want consistent data and therefore a small standard deviation?

Example of the situation when we want data to be consistent, and therefore, a small standard deviation is the positive performance of a cricketer. Example of the situation when we want data to have large standard deviation is the quality score of the rival's product.

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30th April, 2020

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