WEBVTT 00:00:00.003 --> 00:00:04.735 Find the range and the midrange of the following sets of numbers 00:00:04.735 --> 00:00:06.923 So what the range tells us is essentially 00:00:06.923 --> 00:00:08.738 how spread apart these numbers are 00:00:08.738 --> 00:00:10.258 And the way that you calculate it is 00:00:10.258 --> 00:00:12.044 You just take the difference between the 00:00:12.044 --> 00:00:14.506 the largest of these numbers and the smallest 00:00:14.506 --> 00:00:15.833 of these numbers 00:00:15.833 --> 00:00:17.187 And so if we look at the largest 00:00:17.187 --> 00:00:18.055 of these numbers 00:00:18.055 --> 00:00:20.562 I'll circle it in magenta, it looks like it is 94 00:00:20.562 --> 00:00:23.191 94 is larger than every other number here 00:00:23.191 --> 00:00:25.418 So that's the largest of the numbers 00:00:25.418 --> 00:00:27.481 And from that we want to subtract 00:00:27.481 --> 00:00:29.466 the smallest of the numbers 00:00:29.466 --> 00:00:31.131 And the smallest of the numbers in our set 00:00:31.131 --> 00:00:32.320 right over here is 65 00:00:32.320 --> 00:00:33.959 (Circled in green) 00:00:33.959 --> 00:00:36.408 So you want to subtract 65 from 94 00:00:36.408 --> 00:00:38.133 and this is equal to... 00:00:38.133 --> 00:00:40.822 if this was 95 minus 65, it would be 30 00:00:40.822 --> 00:00:42.562 94 is one less than 95 00:00:42.562 --> 00:00:44.426 so it is 29 00:00:44.426 --> 00:00:48.165 So the larger this number is that means the more spread out the larger the 00:00:48.165 --> 00:00:50.969 difference between the largest and the smallest number 00:00:50.969 --> 00:00:54.194 the smaller this is, that means, the [tighter?] 00:00:54.194 --> 00:00:58.557 the range [just to use the word itself?] of the numbers actually are, so that's the range 00:00:58.557 --> 00:01:01.552 the midrange is one way of thinking 00:01:01.552 --> 00:01:05.297 to some degree of kind of central tendency, so midrange, 00:01:05.297 --> 00:01:09.744 midrange, and would you do with the midrange is to take the average 00:01:09.744 --> 00:01:12.987 of the largest number and the smallest number 00:01:12.987 --> 00:01:17.786 so, here we took the difference that's the range. The midrange would be the average of this two numbers 00:01:17.786 --> 00:01:27.272 so 94 plus 65 when we talk about average and [talk about] arithmetic mean over 2 so this is going to be what... 00:01:27.272 --> 00:01:32.532 90 plus 60 is 150, 150 plus... 00:01:32.532 --> 00:01:39.697 4 plus 5 is 159, 159 divided by 2 is equal to 00:01:39.697 --> 00:01:45.273 150 divided by 2, is 75, 9 divided by 2 is 4.5, 00:01:45.273 --> 00:01:49.996 so this would be 79.5 00:01:49.996 --> 00:01:52.810 so is one kind [of way?] of thinking about the middle of these numbers, 00:01:52.810 --> 00:01:57.556 another way is obviously the arithmetical mean we [] to take [] 00:01:57.556 --> 00:01:59.886 obviously you can also look at things as the median and the mode 00:01:59.886 --> 00:02:02.600 so range and midrange