SOLUTION: For the data set: 21,24,19,32,15,43,38,39, I don't understand how the lower quartile is 20 and how the upper is 35. Since the median would be (24+29)/2 = 26.5, wouldn't that mea

Algebra ->  Probability-and-statistics -> SOLUTION: For the data set: 21,24,19,32,15,43,38,39, I don't understand how the lower quartile is 20 and how the upper is 35. Since the median would be (24+29)/2 = 26.5, wouldn't that mea      Log On


   



Question 1189156: For the data set: 21,24,19,32,15,43,38,39,
I don't understand how the lower quartile is 20 and how the upper is 35. Since the median would be (24+29)/2 = 26.5, wouldn't that mean Q1 = 19 and Q3 = 38? Please just explain that part!

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

21,24,19,32,15,43,38,39

To find the lower quartile of a set of data, we can find the median of the data and then find the median of the first half.

15,19,21,24,......32,38,39,43
median=%2824%2B32%29%2F2=28
15,19....,21,24
Q1=%2819%2B21%29%2F2=20
32,38....,39,43
Q3=%2838%2B39%29%2F2=38.5
Interquartile Range: IQR = Q3 - Q1=38.5-20=18.5

Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
.

Read from this source, including examples

https://www150.statcan.gc.ca/n1/edu/power-pouvoir/ch12/5214890-eng.htm