identify the first quartile in the following data set 5,7,9,4,3,2,1,0,11,12, 6,3,4,3,2,6,
To find the first quartile (Q1), we first need to arrange the data set in ascending order:
0, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 6, 7, 9, 11, 12
There are 16 numbers in the data set. The formula to find the first quartile is:
Q1 = (n+1)/4
Q1 = (16+1)/4 = 17/4 = 4.25
Since the result is not a whole number, we need to find the average of the 4th and 5th values which are 3 and 3 respectively.
Therefore, the first quartile (Q1) is (3 + 3) / 2 = 3.