Final answer:
To calculate the standard deviation of a data set, divide the sum of the squared deviations by the number of values and then take the square root. In this case, the standard deviation is approximately 4.8.
Step-by-step explanation:
To calculate the standard deviation of a data set, we need to first calculate the variance. The variance is the average of the squared deviations from the mean. In this case, the sum of the squared deviations is given as 184. Since there are 8 values in the data set, we divide 184 by 8 to get the variance. The square root of the variance is the standard deviation. So, the standard deviation of the data set is the square root of 23, which is approximately 4.8. Therefore, the correct option is none of the provided options.