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This would increase the mean by 6 points but would not change the standard deviation.

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Q: If each score in a set of scores were increased by 6 points how would this affect the mean and the standard deviation?
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Related questions

What is the minimum data required for standard deviation?

The standard deviation is a measure of how spread out the numbers are. Three points is needed to calculate a statistically valid meaningful standard deviation.


If a set of data has 100 points and a variance 4 then what is the standard deviation?

Standard deviation is the square root of the variance. Since you stated the variance is 4, the standard deviation is 2.


Is the standard deviation best thought of as the distance from the mean?

No. A small standard deviation with a large mean will yield points further from the mean than a large standard deviation of a small mean. Standard deviation is best thought of as spread or dispersion.


What is the standard deviation of the normal IQ curve?

It is 15 points.


What would it mean if a standard deviation was calculated to equal 0?

A standard deviation of zero means that all the data points are the same value.


What is a statistic inflection point?

There are two points of infection (the points where the curvature changes its direction) which lie at a distance of one standard deviation above mean and one standard deviation below mean.


In research how to define standard deviation?

Standard deviation shows how much variation there is from the "average" (mean). A low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.


Can a standard deviation of 4.34 be correct?

Yes, a standard deviation of 4.34 can be correct. Standard deviation is a measure of dispersion or variability in a data set. It represents the average amount by which individual data points deviate from the mean. Therefore, a standard deviation of 4.34 simply indicates that there is some variability in the data, with data points on average deviating by 4.34 units from the mean.


A score set has a mean of 53 and a standard deviation of 5.6 If each score was multiplied by 0.9 and then had 7 added state the new standard deviation?

Standard deviation is the spread of the data. If each score has 7 added, this would not affect the spread of the data - it would be just as evenly spaced or clumped up, but 7 greater. The only thing that would affect the spread is multiplying every data point by 0.9. This makes distances between the data points 0.9 times as big, and thus makes the standard deviation 0.9 times as big. The standard deviation was 5.6, and so now is 5.6x0.9 = 5.04


Can standard deviation be above 10?

Yes, depending on the data being studied. Standard deviation can be thought of as the magnitude of the average distance between the data points and their mean.


What is the standard deviation if all data points are different?

It depends on the data. The standard deviation takes account of each value, therefore it is necessary to know the values to find the sd.


If a set of data has 100 points and variance 4 then the standard deviation is?

The SD is 2.