Question

question
part 1 of 3 completed: 8 of 9 | my score: 7.67/9 pts (85.19%)
suppose the data represent the inches of rainfall in april for a certain city over the course of 20 years.
determine the quartiles.
0.73 2.55 4.09 5.46
1.18 2.98 4.29 5.81
1.61 3.45 4.77 5.94
1.79 3.56 4.98 6.16
2.19 3.87 5.32 6.66
what are the quartiles?
$q_1 = \square$
(round to three decimal places as needed.)

Explanation:

Step1: Sort all data ascendingly

0.73, 1.18, 1.61, 1.79, 2.19, 2.55, 2.98, 3.45, 3.56, 3.87, 4.09, 4.29, 4.77, 4.98, 5.32, 5.46, 5.81, 5.94, 6.16, 6.66

Step2: Find position of $Q_1$

Position = $\frac{1}{4}(n+1) = \frac{1}{4}(20+1) = 5.25$

Step3: Calculate $Q_1$ value

$Q_1 = 2.19 + 0.25\times(2.55-2.19) = 2.19 + 0.09 = 2.280$

Answer:

$Q_1 = 2.280$