Maths-
General
Easy
Question
If the standard deviation of 0,1,2,3…..9 is K, then the standard deviation of 10,11,12,13…. 19 is
- K + 10
- K
-
-
Hint:
The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Here we have to find the standard deviation of 10,11,12,13…. 19.
The correct answer is: K
The two key areas in statistics are variance and standard deviation. It is a metric for statistical data dispersion. The degree to which values in a distribution deviate from the distribution's average is known as the dispersion.
The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread.
Variance is a measurement of how widely distributed a set of data is. The variance is said to be zero if all the data values are the same.
Both sequences have the same standard deviation because the standard deviation only considers the total number of values and the difference between the mean and each value.
If 1st sequence is xi and 2nd sequence is yi, then, we get:
yi = 10 + xi
y = 10 + x
So, y − yi = x − xi
If 1st sequence is xi and 2nd sequence is yi, then, we get:
yi = 10 + xi
y = 10 + x
So, y − yi = x − xi
Here we used the concept of standard deviation, we also understood how standard deviation is related to variance. When each element is raised by the same constant, the standard deviation remains the same. So here if the standard deviation of 0,1,2,3…..9 is K, then the standard deviation of 10,11,12,13…. 19 is also K.
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