Question

suppose the data represent the inches of rainfall in april for a certain city over the course of 20 years. given the quartiles $q_1 = 2.340$, $q_2 = 3.595$, and $q_3 = 4.905$, compute the interquartile range, iqr.
iqr = (square) (round to three decimal places as needed.)
0.99 2.49 3.77 4.96
1.37 2.61 3.91 5.24
1.49 2.92 4.27 5.57
1.72 3.23 4.58 5.76
2.19 3.42 4.85 5.94

Explanation:

Step1: Recall IQR formula

The inter - quartile range (IQR) is given by the formula $IQR = Q_3 - Q_1$.

Step2: Substitute values

We are given $Q_1 = 2.340$ and $Q_3=4.905$. Substituting these values into the formula, we get $IQR=4.905 - 2.340$.

Step3: Calculate result

$4.905-2.340 = 2.565$

Answer:

$2.565$