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.
Q. Can you compare standard deviations with different means?
Since P was not less than 0.05, you can conclude that there is no significant difference between the two standard deviations. If you want to compare two known variances, first calculate the standard deviations, by taking the square root, and next you can compare the two standard deviations.
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Q. Does Standard Deviation go both ways?
Most math equations for standard deviation assume that the numbers are normally distributed. This means that the numbers are spread out in a certain way on both sides of the average value. Numbers can be spread out and still be normally distributed. The standard deviation tells how widely the numbers are spread out.
Q. What is the standard deviation in a normal distribution?
If a data distribution is approximately normal then about 68 percent of the data values are within one standard deviation of the mean (mathematically, μ ± σ, where μ is the arithmetic mean), about 95 percent are within two standard deviations (μ ± 2σ), and about 99.7 percent lie within three standard deviations (μ ± 3σ …
Q. Why do we use standard deviation rather than variance?
Variance helps to find the distribution of data in a population from a mean, and standard deviation also helps to know the distribution of data in population, but standard deviation gives more clarity about the deviation of data from a mean.
Q. Which set of scores 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. Thus, the set from answer A will have a standard deviation of 0.
