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Does the value of the standard deviation depend on the value of the mean?
The standard deviation is a measure of the spread of data about the mean. Although it is essentially a measure of the spread, the fact that it is the spread ABOUT THE MEAN that is being measured means that it does depend on the value of the mean. However, the SD is not affected by a translation of the data. What that means is that if I add any fixed number to each data point, the mean will increase by that number, but the SD will be unchanged.
What is meant by the standard deviation of a data set?
It is a measure of the spread of the data around its mean value.
Why is calculating the standard deviation an important part of data analysis?
It is a measure of the spread of the results around their expected value.It is a measure of the spread of the results around their expected value.It is a measure of the spread of the results around their expected value.It is a measure of the spread of the results around their expected value.
Why does the standard deviation get smaller as the individual in a group score more similarly on a test?
Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller. Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller. Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller. Because the standard deviation is a measure of the spread in scores. As individuals score more similarly, the spread gets smaller.
What standard deviation tells us about a distribution?
It is a measure of the spread of the distribution: whether all the observations are clustered around a central measure or if they are spread out.
