Question

Consider the following data: 4,0,1,0,1,1,0 Step 1 of 3: Calculate the value of the sample variance. Round your answer to one decimal place.

Answer 1

To calculate the sample variance, find the mean of the data, subtract the mean from each value and square the result, find the sum of all the squared differences, and divide by the total number of values minus 1.

Step-by-step explanation:

To calculate the sample variance, follow these steps:

1. Find the mean (average) of the given data by adding all the values and dividing by the total number of values. In this case, (4 + 0 + 1 + 0 + 1 + 1 + 0) / 7 = 0.7143 (rounded to four decimal places).
2. Subtract the mean from each data value and square the result. For example, 4 - 0.7143 = 3.2857, and squaring it gives 10.7992.
3. Find the sum of all the squared differences. Add up the squared differences from step 2. In this case, the sum is 103.8056.
4. Divide the sum from step 3 by the total number of values minus 1. Since there are 7 values, the sample variance is 103.8056 / (7 - 1) = 14.8294 (rounded to one decimal place).