[Video] Q33: If a is the mean and b is the median on nine consecutive integers, what is the value of |a-b|?

Explanation for Question 33 From the Math (Calc) Section on the 2019 March Sat

Question 33 says if a is the mean, 2 and B is the median of nine consecutive integers. 3 What is the value of the absolute value of a minus B? 4 So when you have non-consecutive integers or any odd amount of consecutive 5 integers, the mean, and the median are going to equal the same value. 6 Um, but just to illustrate that, let's just take the integers one through nine, 7 as an example, six, 8 seven a nine. 9 If we went from the media, we would find that it's the value five. 10 That's just the number in the center of these nine integers. 11 Um, and if we were at, if we were to add all these numbers 12 together, we get 45 and, 13 um, there are nine integers. 14 So to find the mean we would do nine over 45, 15 which is also equal to five. So if you ever have a set of 16 odd integers and you're looking, sorry, 17 odd consecutive integers, the mean, 18 and the median are going to be equal to each other. 19 Um, and so the answer to this question is zero.

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