Math / Data & Statistics

QuestionThe prices of the 19 top-rated all-season tires for a specific tire size, are as follows. Answer parts (a) - (c). \begin{tabular}{llllllllll} $\$ 88$ & $\$ 118$ & $\$ 97$ & $\$ 79$ & $\$ 82$ & $\$ 92$ & $\$ 94$ & $\$ 89$ & $\$ 94$ & $\$ 81$ \\ $\$ 109$ & $\$ 115$ & $\$ 103$ & $\$ 95$ & $\$ 85$ & $\$ 92$ & $\$ 75$ & $\$ 99$ & $\$ 91$ & \end{tabular} a) Determine $Q_{2}$ . $\mathrm{Q}_{2}=$ $\square$ b) Determine $Q_{1}$ . $Q_{1}=$ $\square$ c) Determine $Q_{3}$ . $Q_{3}=$ $\square$

Studdy Solution
Determine $Q_3$ , the median of the second half of the dataset (last 9 values):
$94, 94, 95, 97, 99, 103, 109, 115, 118$
The median is the 5th value.
$Q_3 = 99$
The quartiles are:
$Q_2 = \boxed{92}$ $Q_1 = \boxed{85}$ $Q_3 = \boxed{99}$

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