Question

Find the quartiles for the given dataset.

35, 40, 40, 45, 45, 50, 50, 50, 55, 60, 60, 65, 70

(2 points)
Q1:
; Q2 or the median:
; Q3:

Answer 1

To find the quartiles, we need to arrange the data in ascending order:

35, 40, 40, 45, 45, 50, 50, 50, 55, 60, 60, 65, 70

Q1 is the median of the lower half of the data. Since there are 13 numbers, the lower half has 6 numbers. The median of the lower half is the 3rd number in the lower half, which is 45.

Q2 or the median is the middle number of the dataset. Since there are 13 numbers, the median is the 7th number, which is 50.

Q3 is the median of the upper half of the data. Again, there are 13 numbers, so the upper half has 6 numbers. The median of the upper half is the 3rd number in the upper half, which is 60.

Therefore, the quartiles are:

Q1: 45
Q2 (median): 50
Q3: 60