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Is there a maximum variance?
Similarly, given only the mean for a set of data, the maximum possible variance is infinite, since there is no limit upon how far the observations may be located from the mean.
What is the smallest value a variance can be?
The smallest value variance can reach is exactly zero. This is when all the numbers in the data set are the same, therefore all the deviations from the mean are zero, all squared deviations are zero and their average (variance) is also zero.
Which set has the maximum variance?
The set of numbers in d) has the largest variance. It is 16.81.
What is a high value of variance?
A high variance indicates that the data points are very spread out from the mean, and from one another. Variance is the average of the squared distances from each point to the mean. The process of finding the variance is very similar to finding the MAD, mean absolute deviation.
Which is true about the minimal value of variance?
For the minimal value of variance, think about the very word variance. Variance measures how much a random variable varies in its values. So, intuitively, a random variable with low variance does not vary a lot, i.e. it sticks to the same value most of the time.
What is the difference between minimum and maximum values?
Minimum value, lower hinge, median, upper hinge, and maximum. The difference between the 3rd and 1st Quartiles. An extremely high or low value when compared to the rest of the values. Values which lie between 1.5 and 3.0 times the InterQuartile Range below the 1st Quartile or above the 3rd Quartile.
How to find the maximum value of variance?
For the maximum, to make a variable with large variance, you need a variable that swings very much between two very different values, so you want a lot of values to be either 0 or 10 Not the answer you’re looking for? Browse other questions tagged probability probability-theory random-variables or ask your own question.
What’s the minimum value of the number V?
Well, the minimum value of V is 0 as Daniel Lopez’s comment points out, and it occurs if and only if all the N numbers have the same value. At the other end, every finite set of real numbers has a (finite) upper bound (call it b) and a (finite) lower bound (call it a ), and