suppose the data has variance 16 , what does this logically means ?
That would mean that most data points vary about 16 away from the mean. So if you were plotting test scores, and the mean was 78, then a variance of 16 would mean that most points would vary from 62 to 94. Also standard deviation is the square root of the variance, which would be 4.
what is logical interpretion of variance ?
i.e. if a data has variance 36 , what does it mean logicaly ?
also the same data has standard deviation 6 , to me it makes sense that spread about mean of the data is about 6 , how can we think about variance 36 for the same data ?