[Video] Q14: The table above lists the lengths, to the nearest inch, of a random sample of 21 brown bullhead fish. the outlier measurement of 24 inches is an error. of the mean, median, and range of the values listed, which will change the most if the 24-inch measurement is removed from the data?

Explanation for Question 14 From the Math (Calc) Section on the Official Sat Practice Test 1

So number 14 tells us that the table above list, 2 the links to the nearest inch of a random sample of 21 fish, 3 right? So our total has 21 fish and the outlier 4 of 24 inches is an air, right? 5 So right here, this data point that says 24, 6 we notice an air of the mean median and range values listed, 7 which will change the most if the 24 is removed. 8 Right. And so just right off the bat, 9 we should immediately eliminate median. 10 Something we should know is that the median is really resistant to 11 change. Whenever you add a really big value or really low value, 12 the median will only change a little bit if it changes at all. 13 So the one that will change the most will never be the median. 14 So that also eliminates D right? So we're thinking here between the median or 15 the mean, and the range. 16 So now let's look at what the range would be with 24. 17 So with 24, our range would be 24 minus eight, 18 right? The difference between our largest value and our smallest value. 19 And that's going to be 16 now, 20 our mean, right. We can add all of our numbers together. 21 So eight plus nine times three, 22 since we have three nines plus 20 right, 23 10 times two plus 22 from the two Eleven's plus 12 24 times 1, 2, 3, 4 plus 13 times 25 1, 2, 3 plus 14 times two, 26 which is 28 plus 15 times two, 27 which is 30 plus 16 plus 24. 28 And when you can divide all of those by 21, 29 and we get a mean of about 12. 30 So that's what the 24 value. Now without 24, 31 we know that...