Which box-and-whisker plot represents the data set?

12, 10, 16, 19, 18, 14, 4, 18, 4

a box and whisker plot. the whiskers range from 4 to 19 and the box ranges from 5 to 12.5 with the vertical bar inside the box at 6.

a box and whisker plot. the whiskers range from 4 to 19 and the box ranges from 7 to 18 with the vertical bar inside the box at 14.

a box and whisker plot. the whiskers range from 4 to 19 and the box ranges from 5 to 14 with the vertical bar inside the box at 7.5.

a box and whisker plot. the whiskers range from 4 to 19 and the box ranges from 6 to 14 with the vertical bar inside the box at 10.

A box and whisker plot. The whiskers range from 4 to 19 and the box ranges from 7 to 18 with the vertical bar inside the box at 14.

step-by-step-explanation:

We are given a set of data points by:

                      12, 10, 16, 19, 18, 14, 4, 18, 4

On arranging these data points in the increasing order or ascending order we get:

4, 4, 10, 12, 14, 16, 18, 18, 19.

Hence, based on the data points we have:

The range of the whisker plot is form 4-19

( Since the minimum value is 4 and the maximum value is 19)

The median of the data is the middle value of the data which is also known as the central tendency of the data .

Hence, the Median=14

Also, the lower set of data is:

        4, 4, 10, 12

so, the lower quartile lies between 4 and 10.

So, the lower quartile i.e.

Hence, the start of the box is at 7.

Also, the upper set of data is:

          16 ,18, 18, 19.

So, the upper quartile lie between 18 and 18

Hence, the upper quartile i.e.

Hence, the box range between 7 to 18.

Hence, the correct statement is:

A box and whisker plot. The whiskers range from 4 to 19 and the box ranges from 7 to 18 with the vertical bar inside the box at 14.

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is