Final answer:
To compute the range, interquartile range, variance, and standard deviation of the given data set, first find the smallest and largest values to find the range. Then find the first and third quartiles to calculate the interquartile range. To calculate the variance, find the mean of the data set and compute the squared differences from the mean. Finally, find the square root of the variance to find the standard deviation.
Step-by-step explanation:
To compute the range, we subtract the smallest value from the largest value: Range = 33 - 17 = 16.
To find the interquartile range, we first need to determine the first quartile (Q1) and the third quartile (Q3). Q1 is the median of the lower half of the data set, and Q3 is the median of the upper half of the data set.
To find the variance, we first compute the mean of the data set. The variance is the average of the squared differences between each data value and the mean.
Finally, the standard deviation is the square root of the variance.