Question

Identify the first quartile 5,7,9,4,3,2,1,0,11,12,6,3,4,3,2,1

Answer 1

To identify the first quartile, we need to first arrange the numbers in ascending order:

0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 5, 6, 7, 9, 11, 12

The total number of values is 16.

The formula to find the first quartile (Q1) is (n+1)/4 where n is the total number of values.

Substitute the value of n:

(16+1)/4 = 17/4 = 4.25

Since 4.25 is not a whole number, the first quartile will be the average of the values at the 4th position and the 5th position:

Q1 = (2 + 2)/2 = 2

Therefore, the first quartile of the given set of numbers is 2.