Range and Mid-range

u08_l2_t1_we2 Range and Mid-range

Find the range and the midrange of the following sets of numbers

So what the range tells us is essentially

how spread apart these numbers are

And the way that you calculate it is

You just take the difference between the

the largest of these numbers and the smallest

of these numbers

And so if we look at the largest

of these numbers

I'll circle it in magenta, it looks like it is 94

94 is larger than every other number here

So that's the largest of the numbers

And from that we want to subtract

the smallest of the numbers

And the smallest of the numbers in our set

right over here is 65

(Circled in green)

So you want to subtract 65 from 94

and this is equal to...

if this was 95 minus 65, it would be 30

94 is one less than 95

so it is 29

So the larger this number is that means the more spread out the larger the

difference between the largest and the smallest number

the smaller this is, that means, the [tighter?]

the range [just to use the word itself?] of the numbers actually are, so that's the range

the midrange is one way of thinking

to some degree of kind of central tendency, so midrange,

midrange, and would you do with the midrange is to take the average

of the largest number and the smallest number

so, here we took the difference that's the range. The midrange would be the average of this two numbers

so 94 plus 65 when we talk about average and [talk about] arithmetic mean over 2 so this is going to be what...

90 plus 60 is 150, 150 plus...

4 plus 5 is 159, 159 divided by 2 is equal to

150 divided by 2, is 75, 9 divided by 2 is 4.5,

so this would be 79.5

so is one kind [of way?] of thinking about the middle of these numbers,

another way is obviously the arithmetical mean we [] to take []

obviously you can also look at things as the median and the mode

so range and midrange