Stand Dev is the sqrt(variance) which are both measures of spread of a distribution. 25
Arsalan Rasheed, the standard deviation (SD) indicates the extent to which scores spread either side of the mean. In normally distributed data, 68% of scores fall one SD either side of the mean; larger percentage of scores (approximately 95%) fall two SDs either side of the mean. You can look this information up in most basic statistics books or websites.
If the data for your first variable form a normal distribution, approximately 68% of those scores will fall 25.46 either side of the mean of 49.19. Very roughly, therefore 68% of the scores in your first variable will lie between 23.7 and 74.7.
I hope that's helpful.
There are some indices to scale how much the data are deviated from the point (that they are concentrating around). These indices takes non-negative values. Zero value means that the data are of the same value. The more, these indices are, the farther, the data are from each other. Variance, standard deviation, range, difference of bounds and difference of quartiles are of these criteria.
Standard Deviation (SD) is a measure of dispersion of data. “Dispersion” tells us how much our data is spread out. Specifically, it shows you how much our data is spread out around the mean or average.
Suppose you have Mean= 1558 and SD= 25.46. Then the dispersion is very small.
When you have Mean=49.15 and SD=25.46, then the disperion is very large.
You can read more here;
https://www.statisticshowto.com/probability-and-statistics/standard-deviation/
https://courses.lumenlearning.com/boundless-statistics/chapter/describing-variability/#:~:text=More%20precisely%2C%20it%20is%20a,a%20large%20range%20of%20values.
Standard aeviation is one of measures of dispersion and it represent the extent to wich values from their arithmetic mean.
- Badges
- Science topic
- Similar topics
- Mathematical Sciences
- Statistics
- Statistical Software
- SPSS