Answer asap i will give brainliest
3. consider the following box plot.

(a) find the interquartile range.
(b) what percent of values is included in the interquartile range?

Part 1)

Box-and-whisker plots split the data into four sections. Each section contains 25% of the data.

The upper quartile lies at 75%, which is at 4.75.

The lower quartile lies at 25%, which is at 2.25.

Interquartile range = The upper quartile - The lower quartile

Interquartile range = 4.75 - 2.25

Interquartile range =  2.5

Part 2)

Percent of values is included within the range = (2.5 ÷ 6) × 100%

percent of values is included within the range = 0.4166 × 100%

percent of values is included within the range =  41.66%

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

answer: 5

step-by-step explanation: