[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:00.00,0:00:04.74,Default,,0000,0000,0000,,Find the range and the midrange of the following sets of numbers Dialogue: 0,0:00:04.74,0:00:06.92,Default,,0000,0000,0000,,So what the range tells us is essentially Dialogue: 0,0:00:06.92,0:00:08.74,Default,,0000,0000,0000,,how spread apart these numbers are Dialogue: 0,0:00:08.74,0:00:10.26,Default,,0000,0000,0000,,And the way that you calculate it is Dialogue: 0,0:00:10.26,0:00:12.04,Default,,0000,0000,0000,,You just take the difference between the Dialogue: 0,0:00:12.04,0:00:14.51,Default,,0000,0000,0000,,the largest of these numbers and the smallest Dialogue: 0,0:00:14.51,0:00:15.83,Default,,0000,0000,0000,,of these numbers Dialogue: 0,0:00:15.83,0:00:17.19,Default,,0000,0000,0000,,And so if we look at the largest Dialogue: 0,0:00:17.19,0:00:18.06,Default,,0000,0000,0000,,of these numbers Dialogue: 0,0:00:18.06,0:00:20.56,Default,,0000,0000,0000,,I'll circle it in magenta, it looks like it is 94 Dialogue: 0,0:00:20.56,0:00:23.19,Default,,0000,0000,0000,,94 is larger than every other number here Dialogue: 0,0:00:23.19,0:00:25.42,Default,,0000,0000,0000,,So that's the largest of the numbers Dialogue: 0,0:00:25.42,0:00:27.48,Default,,0000,0000,0000,,And from that we want to subtract Dialogue: 0,0:00:27.48,0:00:29.47,Default,,0000,0000,0000,,the smallest of the numbers Dialogue: 0,0:00:29.47,0:00:31.13,Default,,0000,0000,0000,,And the smallest of the numbers in our set Dialogue: 0,0:00:31.13,0:00:32.32,Default,,0000,0000,0000,,right over here is 65 Dialogue: 0,0:00:32.32,0:00:33.96,Default,,0000,0000,0000,,(Circled in green) Dialogue: 0,0:00:33.96,0:00:36.41,Default,,0000,0000,0000,,So you want to subtract 65 from 94 Dialogue: 0,0:00:36.41,0:00:38.13,Default,,0000,0000,0000,,and this is equal to... Dialogue: 0,0:00:38.13,0:00:40.82,Default,,0000,0000,0000,,if this was 95 minus 65, it would be 30 Dialogue: 0,0:00:40.82,0:00:42.56,Default,,0000,0000,0000,,94 is one less than 95 Dialogue: 0,0:00:42.56,0:00:44.43,Default,,0000,0000,0000,,so it is 29 Dialogue: 0,0:00:44.43,0:00:48.16,Default,,0000,0000,0000,,So the larger this number is that means the more spread out the larger the Dialogue: 0,0:00:48.16,0:00:50.97,Default,,0000,0000,0000,,difference between the largest and the smallest number Dialogue: 0,0:00:50.97,0:00:54.19,Default,,0000,0000,0000,,the smaller this is, that means, the [tighter?] Dialogue: 0,0:00:54.19,0:00:58.56,Default,,0000,0000,0000,,the range [just to use the word itself?] of the numbers actually are, so that's the range Dialogue: 0,0:00:58.56,0:01:01.55,Default,,0000,0000,0000,,the midrange is one way of thinking Dialogue: 0,0:01:01.55,0:01:05.30,Default,,0000,0000,0000,,to some degree of kind of central tendency, so midrange, Dialogue: 0,0:01:05.30,0:01:09.74,Default,,0000,0000,0000,,midrange, and would you do with the midrange is to take the average Dialogue: 0,0:01:09.74,0:01:12.99,Default,,0000,0000,0000,,of the largest number and the smallest number Dialogue: 0,0:01:12.99,0:01:17.79,Default,,0000,0000,0000,,so, here we took the difference that's the range. The midrange would be the average of this two numbers Dialogue: 0,0:01:17.79,0:01:27.27,Default,,0000,0000,0000,,so 94 plus 65 when we talk about average and [talk about] arithmetic mean over 2 so this is going to be what... Dialogue: 0,0:01:27.27,0:01:32.53,Default,,0000,0000,0000,,90 plus 60 is 150, 150 plus... Dialogue: 0,0:01:32.53,0:01:39.70,Default,,0000,0000,0000,,4 plus 5 is 159, 159 divided by 2 is equal to Dialogue: 0,0:01:39.70,0:01:45.27,Default,,0000,0000,0000,,150 divided by 2, is 75, 9 divided by 2 is 4.5, Dialogue: 0,0:01:45.27,0:01:49.100,Default,,0000,0000,0000,,so this would be 79.5 Dialogue: 0,0:01:49.100,0:01:52.81,Default,,0000,0000,0000,,so is one kind [of way?] of thinking about the middle of these numbers, Dialogue: 0,0:01:52.81,0:01:57.56,Default,,0000,0000,0000,,another way is obviously the arithmetical mean we [] to take [] Dialogue: 0,0:01:57.56,0:01:59.89,Default,,0000,0000,0000,,obviously you can also look at things as the median and the mode Dialogue: 0,0:01:59.89,0:02:02.60,Default,,0000,0000,0000,,so range and midrange