The data below represents the number of hours an office assistant spends on the phone every week for 15 weeks. 19, 6, 10, 7, 9, 5, 8, 9, 12, 9, 17, 14, 17, 18, 19 which box plot represents this data?

Refer the attached figure.

Step-by-step explanation:

Given : The data below represents the number of hours an office assistant spends on the phone every week for 15 weeks.

{ 19, 6, 10, 7, 9, 5, 8, 9, 12, 9, 17, 14, 17, 18, 19 }  

To find : Box plot of the data set?

Solution :

Step 1- Arranging the data from lowest to highest,

{5,6,7,8,9,9,9,10,12,14,17,17,18,19,19}  

Step 2 - Find the median of the data  

As the data is odd numbers so the median is th term.

term.

8th term is 10 ⇒ Median =10

Step 3 - To find Upper quartile and lower quartile  

Lower quartile data set is the median of the upper terms from median

{5,6,7,8,9,9,9}

Median of the set is 8

∴  

Upper quartile data set is the median of the lower terms from median

{12,14,17,17,18,19,19}

Median of the set is 17

∴  

Now, the box plot is created with the data above.

Refer the attached figure below.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3