The data represent the number of ounces of water that 26 students drank before donating blood: 8, 8, 8, 16, 16, 16, 32, 32, 32, 32, 32, 32, 64, 64, 64,
64, 64, 64, 64, 80, 80, 80, 80, 88, 88, 88.
Create a box plot for the data

a) Minimum value = 8

b) Maximum value = 88

c) Median(Q2) = 64

d) First Quartile (Q1) = 32

e) Third Quartile (Q3) =  80

Step-by-step explanation:

Before we can create Box plot for any given data, we have to find out certain parameters

8, 8, 8, 16, 16, 16, 32, 32, 32, 32, 32, 32, 64, 64, 64, 64, 64, 64, 64, 80, 80, 80, 80, 88, 88, 88.

a) Minimum value = 8

b) Maximum value = 88

c) Median(Q2)

The formula is given as:

1/2(n + 1)th value

n = 26

Median = 1/2(26 + 1)

= 1/2(27)the value

= 13.5th value

This means the median is average the 13th value and 14th value

= 64 + 64/2 = 128/2 = 64

d) The First Quartile

The formula is given as:

1/4(n + 1)th value

n = 26

Median = 1/4(26 + 1)

= 1/4(27)th value

= 6.75th value

Approximately = 7th value

This means the first quartile isn 7th value

e).The Third  Quartile

The formula is given as:

3/4(n + 1)th value

n = 26

Median = 3/4(26 + 1)

= 3/4(27)th value

= 20.25th value

Approximately = 20.25th value

This means the Third quartile is the 20th value

= 80

Now we can draw the box plot. Please kindly find attached the diagram of the box plot.

d

gimmee one of those gold crowns!

~coco

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is