A data set contains the values {30, 32, 35, 35, 38, 40}. A new data set is formed by subtracting 10 from each value in the original data set. How do the mean and the interquartile range (IQR) of the new data set compare to those of the original data set?
The mean of the new data set is 10 less than the original mean, and the IQR of the new data set is 10 less than the original IQR.
The mean of the new data set is 10 less than the original mean, and the IQR of the new data set is equal to the original IQR.
The mean of the new data set is equal to the original mean, and the IQR of the new data set is 10 less than the original IQR.
The mean of the new data set is equal to the original mean, and the IQR of the new data set is equal to the original IQR.
