0:00:00.003,0:00:04.735 Find the range and the midrange of the following sets of numbers 0:00:04.735,0:00:06.923 So what the range tells us is essentially 0:00:06.923,0:00:08.738 how spread apart these numbers are 0:00:08.738,0:00:10.258 And the way that you calculate it is 0:00:10.258,0:00:12.044 You just take the difference between the 0:00:12.044,0:00:14.506 the largest of these numbers and the smallest 0:00:14.506,0:00:15.833 of these numbers 0:00:15.833,0:00:17.187 And so if we look at the largest 0:00:17.187,0:00:18.055 of these numbers 0:00:18.055,0:00:20.562 I'll circle it in magenta, it looks like it is 94 0:00:20.562,0:00:23.191 94 is larger than every other number here 0:00:23.191,0:00:25.418 So that's the largest of the numbers 0:00:25.418,0:00:27.481 And from that we want to subtract 0:00:27.481,0:00:29.466 the smallest of the numbers 0:00:29.466,0:00:31.131 And the smallest of the numbers in our set 0:00:31.131,0:00:32.320 right over here is 65 0:00:32.320,0:00:33.959 (Circled in green) 0:00:33.959,0:00:36.408 So you want to subtract 65 from 94 0:00:36.408,0:00:38.133 and this is equal to... 0:00:38.133,0:00:40.822 if this was 95 minus 65, it would be 30 0:00:40.822,0:00:42.562 94 is one less than 95 0:00:42.562,0:00:44.426 so it is 29 0:00:44.426,0:00:48.165 So the larger this number is that means the more spread out the larger the 0:00:48.165,0:00:50.969 difference between the largest and the smallest number 0:00:50.969,0:00:54.194 the smaller this is, that means, the [tighter?] 0:00:54.194,0:00:58.557 the range [just to use the word itself?] of the numbers actually are, so that's the range 0:00:58.557,0:01:01.552 the midrange is one way of thinking 0:01:01.552,0:01:05.297 to some degree of kind of central tendency, so midrange, 0:01:05.297,0:01:09.744 midrange, and would you do with the midrange is to take the average 0:01:09.744,0:01:12.987 of the largest number and the smallest number 0:01:12.987,0:01:17.786 so, here we took the difference that's the range. The midrange would be the average of this two numbers 0:01:17.786,0:01:27.272 so 94 plus 65 when we talk about average and [talk about] arithmetic mean over 2 so this is going to be what... 0:01:27.272,0:01:32.532 90 plus 60 is 150, 150 plus... 0:01:32.532,0:01:39.697 4 plus 5 is 159, 159 divided by 2 is equal to 0:01:39.697,0:01:45.273 150 divided by 2, is 75, 9 divided by 2 is 4.5, 0:01:45.273,0:01:49.996 so this would be 79.5 0:01:49.996,0:01:52.810 so is one kind [of way?] of thinking about the middle of these numbers, 0:01:52.810,0:01:57.556 another way is obviously the arithmetical mean we [] to take [] 0:01:57.556,0:01:59.886 obviously you can also look at things as the median and the mode 0:01:59.886,0:02:02.600 so range and midrange