Identify the lower quartile (Q1), the median (Q2), and the upper quartile (Q3) for this data set. {6, 7, 9, 10, 12, 14, 15, 17, 19, 21}

A) Q1 = 9, Q2 = 13, Q3 = 17
B) Q1 = 6, Q2 = 13, Q3 = 21
C) Q1 = 6, Q2 = 14, Q3 = 19
D) Q1 = 9.5, Q2 = 12.5, Q3 = 18.5

A

Step-by-step explanation:

6,7,9,10,12,14,15,17,19,21

number of terms=10

median Q2=average of 5th +6th term=(12+14)/2=13

`Q1=9

Q3=17

So to find the answer you need to use SOHCAHTOA 
Sine= Opposite/ Adjacent
Cosine= Adjacent/Hypotenuse
Tan = opposite/adjacent

angle ADC is 60 so to find the length of line ABC we would use the angle and the line DC. 
We would use Tan with opposite over adjacent
Tan 60 = opp. / 5 root 3 
opp. = 15 
so that is the length of the entire thing, all you need to do now is find the length of the single line of BC which we can use the same equation with just Tan 30 now.
Tan 30 = opp. / 5 root 3 
opp. = 5 
next you need to take the entire ABC length and subtract the length of BC to get AB
15-5 = 10 
so the answer would be C