A high standard deviation indicates that the data points are spread out over a large range of values. The standard deviation can be thought of as a standard way of knowing what is normal (typical), what is very large, and what is very small in the data set.
What does a larger standard deviation mean?
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
What does a large standard deviation value tell you?
A large standard deviation, which is the square root of the variance, indicates that the data points are far from the mean, and a small standard deviation indicates that they are clustered closely around the mean. Standard deviation may serve as a measure of uncertainty.
Is it good to have a large standard deviation?
This means that distributions with a coefficient of variation higher than 1 are considered to be high variance whereas those with a CV lower than 1 are considered to be low-variance. Remember, standard deviations arent good or bad. There is no such thing as good or maximal standard deviation.
What does deviation value mean?
In mathematics and statistics, deviation is a measure of difference between the observed value of a variable and some other value, often that variables mean. The sign of the deviation reports the direction of that difference (the deviation is positive when the observed value exceeds the reference value).
Is large standard deviation bad?
But in situations where you just observe and record data, a large standard deviation isnt necessarily a bad thing; it just reflects a large amount of variation in the group that is being studied. The second data set isnt better, its just less variable.
Can the standard deviation be greater than 1?
The answer is yes. (1) Both the population or sample MEAN can be negative or non-negative while the SD must be a non-negative real number. A smaller standard deviation indicates that more of the data is clustered about the mean while A larger one indicates the data are more spread out.