1 00:00:00,003 --> 00:00:04,735 Find the range and the midrange of the following sets of numbers 2 00:00:04,735 --> 00:00:06,923 So what the range tells us is essentially 3 00:00:06,923 --> 00:00:08,738 how spread apart these numbers are 4 00:00:08,738 --> 00:00:10,258 And the way that you calculate it is 5 00:00:10,258 --> 00:00:12,044 You just take the difference between the 6 00:00:12,044 --> 00:00:14,506 the largest of these numbers and the smallest 7 00:00:14,506 --> 00:00:15,833 of these numbers 8 00:00:15,833 --> 00:00:17,187 And so if we look at the largest 9 00:00:17,187 --> 00:00:18,055 of these numbers 10 00:00:18,055 --> 00:00:20,562 I'll circle it in magenta, it looks like it is 94 11 00:00:20,562 --> 00:00:23,191 94 is larger than every other number here 12 00:00:23,191 --> 00:00:25,418 So that's the largest of the numbers 13 00:00:25,418 --> 00:00:27,481 And from that we want to subtract 14 00:00:27,481 --> 00:00:29,466 the smallest of the numbers 15 00:00:29,466 --> 00:00:31,131 And the smallest of the numbers in our set 16 00:00:31,131 --> 00:00:32,320 right over here is 65 17 00:00:32,320 --> 00:00:33,959 (Circled in green) 18 00:00:33,959 --> 00:00:36,408 So you want to subtract 65 from 94 19 00:00:36,408 --> 00:00:38,133 and this is equal to... 20 00:00:38,133 --> 00:00:40,822 if this was 95 minus 65, it would be 30 21 00:00:40,822 --> 00:00:42,562 94 is one less than 95 22 00:00:42,562 --> 00:00:44,426 so it is 29 23 00:00:44,426 --> 00:00:48,165 So the larger this number is that means the more spread out the larger the 24 00:00:48,165 --> 00:00:50,969 difference between the largest and the smallest number 25 00:00:50,969 --> 00:00:54,194 the smaller this is, that means, the [tighter?] 26 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 27 00:00:58,557 --> 00:01:01,552 the midrange is one way of thinking 28 00:01:01,552 --> 00:01:05,297 to some degree of kind of central tendency, so midrange, 29 00:01:05,297 --> 00:01:09,744 midrange, and would you do with the midrange is to take the average 30 00:01:09,744 --> 00:01:12,987 of the largest number and the smallest number 31 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 32 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... 33 00:01:27,272 --> 00:01:32,532 90 plus 60 is 150, 150 plus... 34 00:01:32,532 --> 00:01:39,697 4 plus 5 is 159, 159 divided by 2 is equal to 35 00:01:39,697 --> 00:01:45,273 150 divided by 2, is 75, 9 divided by 2 is 4.5, 36 00:01:45,273 --> 00:01:49,996 so this would be 79.5 37 00:01:49,996 --> 00:01:52,810 so is one kind [of way?] of thinking about the middle of these numbers, 38 00:01:52,810 --> 00:01:57,556 another way is obviously the arithmetical mean we [] to take [] 39 00:01:57,556 --> 00:01:59,886 obviously you can also look at things as the median and the mode 40 00:01:59,886 --> 00:02:02,600 so range and midrange