Question

Consider the following data:

1,1,−12,10,10,10,1
Copy Data
Step 1 of 3:
Calculate the value of the sample variance. Round your answer to one decimal place.
Consider the following data:
1,1,−12,10,10,10,1
Copy Data
Step 2 of 3:
Calculate the value of the sample standard deviation. Round your answer to one decimal place.
Consider the following data:
1,1,−12,10,10,10,1
Copy Data
Step 3 of 3:
Calculate the value of the range.

Answer 1

To calculate the sample variance, find the mean, subtract the mean from each data point, square the differences, sum up the squared differences, and divide by the total number of data points minus 1. The sample standard deviation is the square root of the variance. The range is the difference between the largest and smallest values in the data set.

Step-by-step explanation:

Step 1: Calculate the sample variance

To find the sample variance, we need to calculate the mean of the data set first. Adding up all the numbers and dividing by the total number of data points gives us a mean of 3.1. Next, we subtract the mean from each data point, square the result, and sum up all the squared differences. Finally, we divide the sum by the total number of data points minus 1 to get the variance.

Step 2: Calculate the sample standard deviation

The sample standard deviation is the square root of the variance. Taking the square root of the variance gives us a sample standard deviation of 4.2.

Step 3: Calculate the range

The range is the difference between the largest and smallest values in the data set. In this case, the largest value is 10 and the smallest value is -12, so the range is 22.