He list shows the growth in centimeters of 12 plants during one week. 6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14 Which box plot best displays a summary of these data?

Step-by-step explanation:

Hello!

You have the growth of 12 plants over a week (cm)

To construct a box plot you have to identify the 1st, 2nd, and 3rd Quartiles for the box and the maximum and minimum values for the whiskers.

Box

1st Quartile (Q₁)

Is the value of the data set that separates the bottom 25% from the top 75%. First, you need to calculate its position:

PosQ₁= n/4= 12/4= 3

So the first quartile is the third value.

6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14

Q₁= 7

2nd Quartile/ Median (Q₂/Me)

PosMe= 12/2= 6

The second quartile in the 6th value.

6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14

Q₂=Me= 8

3rd Quartile (Q₃)

PosQ₃= n*(3/4)= 12*(3/4)= 9

The third quartile is the 9th value.

6, 7, 7, 8, 8, 8, 9, 9, 10, 11, 11, 14

Q₃= 10

The left whisker extends from the Q₁ to the minimum value.

The right whisker extends from the Q₃ to the maximum value.

Min= 6

Max= 14

'------|     |      |-------'

6     7    8    10    14

The box plot that best displays a summary of the data, is C.

I hope this helps!

5104.38 inches

step-by-step explanation: