SOLUTION: Calculate Lower quartile and median. For the data 2,4,5,6,12,19,21,10,2

Algebra ->  Probability-and-statistics -> SOLUTION: Calculate Lower quartile and median. For the data 2,4,5,6,12,19,21,10,2      Log On


   



Question 176894: Calculate Lower quartile and median. For the data 2,4,5,6,12,19,21,10,2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's order the data set
2,2,4,5,6,10,12,19,21
.
.
.
Number of data points, N, is 9.
The lower (first) quartile Q%5B1%5D would be the Mth data point in the ordered data set,
M=%28N%2B1%29%2A%2825%2F100%29=%289%2B1%29%2A.25=2.5
Since it's not an integer, we round up to 3 or the third data point.
Q%5B1%5D=4
.
.
.
Since it's an odd numbered data set, choose the middle value from the ordered data set, that's the median.
M=6