It is a measure of the spread of the data around its mean value.
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.
It is 0.
(As in Jeopardy) - What is "standard deviation"?
A single number, such as 478912, always has a standard deviation of 0.
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.
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.
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.
Standard deviation has the same unit as the data set unit.
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.
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 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.
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.
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.
A single number, such as 478912, always has a standard deviation of 0.
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.
It is 0.
(As in Jeopardy) - What is "standard deviation"?