Question

SSSSSSSSSSSSS below

Answer 1

So you have a whole list of numbers

what's the smallest number?

what's the largest number?

Answer 2

1 and 16

Answer 3

so in your box plot, the left most one is the minimum value which is 1

and the right most would be the maximum value which is 16

Answer 4

Do you follow so far?

Answer 5

ya

Answer 6

Okay, now the center of the box, that's the median

Do you know how to find the median?

It's going to be the middle number of the set so what number is in the middle?

1, 4, 4, 5, 5, 7, 8, 8, 10, 11, 11, 11, 14, 15, 16

Answer 7

8

Answer 8

Good! So that's the middle number

So far we have

Answer 9

That wasn't so hard, was it?

Now to find the rest

Answer 10

The lower end of the box is called the lower quartile

and to find that, we just have to find the median of the first half

so remember how you said 8 was the median?

Let's separate the entire list in to two

1, 4, 4, 5, 5, 7, 8, 8, 10, 11, 11, 11, 14, 15, 16

8 was the median

now the lower quartile is going to be the median of of the first half of numbers
the median of 1, 4, 4, 5, 5, 7, 8,

and the upper quartile is the upper end of the box and that's going to be the median of the other half of numbers

so the median of
10, 11, 11, 11, 14, 15, 16

Answer 11

Does that make sense?

Can you find the medians of those two sets of numbers?

Answer 12

5 and 11?

Answer 13

You got it!!

Answer 14

ty

Answer 15

You're welcome!