SOLUTION: The following table shows the number of prescriptions a doctor wrote each day for a 36-day period. Find the first, second, and Third quartile. 8 12 14 10 9 16 7 14 10 7 11 16 1

Algebra ->  Finance -> SOLUTION: The following table shows the number of prescriptions a doctor wrote each day for a 36-day period. Find the first, second, and Third quartile. 8 12 14 10 9 16 7 14 10 7 11 16 1      Log On


   



Question 1159761: The following table shows the number of prescriptions a doctor wrote each day for a 36-day period. Find the first, second, and Third quartile.
8 12 14 10 9 16
7 14 10 7 11 16
11 12 8 14 13 10
9 14 15 12 10 8
10 14 8 7 12 15
14 10 9 15 10 12

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


It's tedious but straightforward, and involves only simple arithmetic. You can do the actual work yourself; it makes no sense for us to take the time to do it.

There are 36 data points.

(1) Arrange them in order from smallest to largest.

(2) Group the data into 4 groups of equal size; each group will contain 36/4 = 9 of the data points.
group 1: 1st-9th values
group 2: 10th-18th values
group 3: 19th-27th values
group 4: 28th-36th values

Each quartile is the average of the largest value in one group and the smallest value in the next:
The first quartile is the average of the 9th and 10th values.
The second quartile is the average of the 18th and 19th values.
The third quartile is the average of the 27th and 28th values.