The variance of 1, 0, 1 and 0 isA. 0.0625B. 0.25C. 0.5D. 1

To calculate the variance of a set of numbers, follow these steps:

1. Find the mean (average) of the numbers: (1+0+1+0)/4 = 0.5
2. Subtract the mean from each number and square the result: (1-0.5)^2 = 0.25, (0-0.5)^2 = 0.25, (1-0.5)^2 = 0.25, (0-0.5)^2 = 0.25
3. Find the mean of these squared differences: (0.25+0.25+0.25+0.25)/4 = 0.25

So, the variance of 1, 0, 1, and 0 is 0.25. Therefore, the correct answer is B. 0.25.

To calculate the variance of a set of numbers, follow these steps:

1. Find the mean (average) of the numbers. In this case, (1+0+1+0)/4 = 0.5
2. Subtract the mean from each number to get the list of deviations. This gives us 0.5, -0.5, 0.5, -0.5.
3. Square each deviation to get 0.25, 0.25, 0.25, 0.25.
4. Find the mean of these squared deviations. (0.25+0.25+0.25+0.25)/4 = 0.25

So, the variance of 1, 0, 1, and 0 is 0.25, which corresponds to option B.