To calculate the standard deviation of the box, we first need to calculate the mean and the variance.

Step 1: Calculate the mean (average)
The mean is calculated by adding all the numbers in the box and dividing by the total number of numbers. In this case, we have one 1 and nine 0s, so the mean is (1+0+0+0+0+0+0+0+0+0+0) / 10 = 0.1

Step 2: Calculate the variance
The variance is calculated by subtracting the mean from each number in the box, squaring the result, and then averaging these squares.

For the nine 0s, this is (0-0.1)^2 = 0.01. For the one 1, this is (1-0.1)^2 = 0.81.

The variance is then (9*0.01 + 1*0.81) / 10 = 0.09.

Step 3: Calculate the standard deviation
The standard deviation is the square root of the variance. So, the standard deviation is sqrt(0.09) = 0.3.

So, the standard deviation of the box is 0.3.

Question

To calculate the standard deviation of the box, we first need to calculate the mean and the variance.

Step 1: Calculate the mean (average)
The mean is calculated by adding all the numbers in the box and dividing by the total number of numbers. In this case, we have one 1 and nine 0s, so the mean is (1+0+0+0+0+0+0+0+0+0+0) / 10 = 0.1

Step 2: Calculate the variance
The variance is calculated by subtracting the mean from each number in the box, squaring the result, and then averaging these squares.

For the nine 0s, this is (0-0.1)^2 = 0.01. For the one 1, this is (1-0.1)^2 = 0.81.

The variance is then (9*0.01 + 1*0.81) / 10 = 0.09.

Step 3: Calculate the standard deviation
The standard deviation is the square root of the variance. So, the standard deviation is sqrt(0.09) = 0.3.

So, the standard deviation of the box is 0.3.

Knowee AI · Accepted Answer

To calculate the standard deviation of the box, we first need to calculate the mean and the variance.

Step 1: Calculate the mean (average)
The mean is calculated by adding all the numbers in the box and dividing by the total number of numbers. In this case, we have one 1 and nine 0s, so the mean is (1+0+0+0+0+0+0+0+0+0+0) / 10 = 0.1

Step 2: Calculate the variance
The variance is calculated by subtracting the mean from each number in the box, squaring the result, and then averaging these squares.

For the nine 0s, this is (0-0.1)^2 = 0.01. For the one 1, this is (1-0.1)^2 = 0.81.

The variance is then (9*0.01 + 1*0.81) / 10 = 0.09.

Step 3: Calculate the standard deviation
The standard deviation is the square root of the variance. So, the standard deviation is sqrt(0.09) = 0.3.

So, the standard deviation of the box is 0.3.

Consider a box model with one 1 and nine 0s.What is the standard deviation of the box?Group of answer choices0.20.10.30.5

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Consider a box model with one 1 and nine 0s. What is the standard deviation of the box?

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