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It tells you how much variability there is in the data. A small standard deviation (SD) shows that the data are all very close to the mean whereas a large SD indicates a lot of variability around the mean. Of course, the variability, as measured by the SD, can be reduced simply by using a larger measurement scale!
What else can I help you with?
What does one standard deviation mean?
Standard deviation is a measure of variation from the mean of a data set. 1 standard deviation from the mean (which is usually + and - from mean) contains 68% of the data.
What is the standard deviation of a set data in which all the data values are the same?
It is 0.
Describes how spread out data set is?
(As in Jeopardy) - What is "standard deviation"?
What is he standard deviation of the data set given below 478912?
A single number, such as 478912, always has a standard deviation of 0.
Does the size of the standard deviation of a data set depend on where the center is?
Yes it does. The center, which is the mean, affects the standard deviation in a potisive way. The higher the mean is, the bigger the standard deviation.
If data set A has a larger standard deviation than data set B data set A is more spread out than data set B.?
Yes, if data set A has a larger standard deviation than data set B, it indicates that the values in data set A are more spread out around the mean compared to those in data set B. A higher standard deviation signifies greater variability and dispersion in the data. Conversely, a smaller standard deviation in data set B suggests that its values are more closely clustered around the mean.
If data set A has a larger standard deviation than data set B data set A is less spread out than data set B.?
This statement is incorrect. If data set A has a larger standard deviation than data set B, it indicates that data set A is more spread out, not less. A larger standard deviation reflects greater variability and dispersion of data points from the mean, while a smaller standard deviation suggests that data points are closer to the mean and thus less spread out.
What are the units of measurement of standard deviation?
Standard deviation has the same unit as the data set unit.
What does one standard deviation mean?
Standard deviation is a measure of variation from the mean of a data set. 1 standard deviation from the mean (which is usually + and - from mean) contains 68% of the data.
What does standard deviation show us about a set of scores?
Standard Deviation tells you how spread out the set of scores are with respects to the mean. It measures the variability of the data. A small standard deviation implies that the data is close to the mean/average (+ or - a small range); the larger the standard deviation the more dispersed the data is from the mean.
If the standard deviation of the final was 12 points and if each value in the data set where multiplied by 1.75 what would be the standard deviation of the resulting data?
If each value in a data set is multiplied by a constant, the standard deviation of the resulting data set is also multiplied by that constant. In this case, since the original standard deviation is 12 points and each value is multiplied by 1.75, the new standard deviation would be 12 * 1.75 = 21 points.
What does the standard deviation tell you?
Standard deviation is a statistical measure that quantifies the amount of variation or dispersion in a set of data values. A low standard deviation indicates that the data points are clustered closely around the mean, while a high standard deviation signifies that the data points are spread out over a wider range of values. It helps in understanding the consistency or variability of the data, which is crucial for making informed decisions based on that data.
Suppose that 2 were subtracted from each of the values and a data set that originally had a standard deviation of 3.5 what would be the standard deviation of the resulting data?
Subtracting a constant value from each data point in a dataset does not affect the standard deviation. The standard deviation measures the spread of the values relative to their mean, and since the relative distances between the data points remain unchanged, the standard deviation remains the same. Therefore, the standard deviation of the resulting data set will still be 3.5.
What is the standard deviation?
The standard deviation of a set of data is a measure of the spread of the observations. It is the square root of the mean squared deviations from the mean of the data.
What is the standard deviation of the data set given below?
A single number, such as 478912, always has a standard deviation of 0.
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.
What is the standard deviation of a set data in which all the data values are the same?
It is 0.
