mean
The standard deviation is defined as the square root of the variance, so the variance is the same as the squared standard deviation.
Variance
If the standard deviation of 10 scores is zero, then all scores are the same.
Since the standard deviation is zero, the scores are all the same. And, since their mean is 10, they must all be 10.
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.
The standard deviation is defined as the square root of the variance, so the variance is the same as the squared standard deviation.
Variance
Variance
If the standard deviation of 10 scores is zero, then all scores are the same.
Standard deviation
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.
Given a set of n scores, the variance is sum of the squared deviation divided by n or n-1. We divide by n for the population and n-1 for the sample.
All the scores are equal
Since the standard deviation is zero, the scores are all the same. And, since their mean is 10, they must all be 10.
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.
T-scores have a mean of 50 and a standard deviation of 10. These values are fixed and do not change regardless of the distribution of T-scores.
the VMI has a mean score of 100 with standard deviation of 15. So scores between 85-115 are considered average.