Mrs. Hall records the heights of 50 students in a spreadsheet. The mean height is 68 inches. After looking at the data again, she realized that two of the 50 observations were outliers that must have been typos, 82 and 86 inches. She deleted these two observations. What is the new mean, rounded to the nearest hundredth?

We have to determine the value of the new mean height of the students. The old mean was 68 inches based on the 50 observations. It means that the sum of the heights of all 50 students was: 50 * 68 = 3,400 inches. Then Mrs. Hall deleted two observations: 82 and 86 inches. Now we have: 3,400 - (82 + 86) = 3,232 inches. And the mean is: 3,232 : 48 = 67.3333 ... (or 67.33 rounded ot the nearest hundredth). Answer: The new mean is 67.33.