For the sample data shown here, which one of the following correctly lists the value for the sample standard deviation? Data: 18, 19, 22, 20, 64, 24, 18, 23

To determine the sample standard deviation for the given dataset, you first need to understand the process for calculating it.

Start by calculating the mean (average) of the data points. In this case, the data set is composed of the values 18, 19, 22, 20, 64, 24, 18, and 23. The mean is the sum of all these values divided by the total number of values.

Next, subtract the mean from each individual data point to find the deviation of each point from the mean. Then, square each of these deviations to eliminate negative values.

After squaring, calculate the average of these squared deviations. Since we are calculating the sample standard deviation (not the population standard deviation), you divide this sum by the number of data points minus one (N-1) to account for the degrees of freedom.

Finally, take the square root of this average to get the sample standard deviation. The result from these calculations will yield a value of approximately 15.52, which aligns with the correct answer.

This value reflects the degree of variation or dispersion from the mean value of the dataset. It is a crucial statistic in understanding the spread of the data and provides insight into the reliability of