Question

Question 9 of 10 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?

Answer 1

Answer: 67.33

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Explanation:

S = sum of the 50 heights
Dividing the sum S over 50 gets us the average height
S/50 = 68
S = 50*68
S = 3400

So adding up the 50 heights leads to 3400
The two values 82 and 86 are kicked out, so we subtract them off 3400
3400-82-86 = 3232

Now divide by 48 since we excluded 2 values from the initial 50
3232/48 = 67.333333
which is approximate
This rounds to 67.33