Practice Solutions

$$\begin{gathered} \mathrm{Min}: 68 \\ \mathrm{Q}1: 71 \\ \mathrm{Q}2: 75 \\ \mathrm{Q}3: 81 \\ \mathrm{Max}: 92 \\ \mathrm{IQR}: 81–71 = 10 \\ \mathrm{Range}: 92–68 = 24 \end{gathered}$$

$$\begin{gathered} \mathrm{Min}: 57 \\ \mathrm{Q}1: 58 \\ \mathrm{Q}2: 63 \\ \mathrm{Q}3: 69 \\ \mathrm{Max}: 72 \\ \mathrm{IQR}: 69–58=11 \\ \mathrm{Range}: 72–57=15 \end{gathered}$$

3. Yana and her family went on a fishing trip. The data set shows the number of fish caught each day over a ten day period. $\left\{15, 5, 9, 17, 8, 13, 11, 12, 11, 10\right\}$

$$\begin{gathered} \mathrm{Q}2:\hspace{0.17em}\left\{5, 8, 9, 10, \boxed{11, \overline{)11}}, 12, 13, 15, 17\right\} \\ \frac{11+11 }{2}=11 \\ \mathrm{Q}1: \left\{\boxed{5, 8, \overline{)9}, 10, 11}, 11, 12, 13, 15, 17\right\} \\ \mathrm{Q}3: \left\{5, 8, 9, 10, 11, \boxed{11, 12, \overline{)13}, 15, 17}\right\} \\ \mathrm{Min}: 5 \\ \mathrm{Max}: 17 \end{gathered}$$

4. A car company listed the miles per gallon ratings for ten different car models. The data set for the gas mileage of each car model: $\left\{32, 40, 36, 35, 26, 21, 30, 28, 30\right\}$

$$\begin{gathered} \mathrm{Q}2:\hspace{0.17em}\left\{21, 26, 28, 30, \overline{)30}, 32, 35, 36, 40\right\} \\ \mathrm{Q}1: \left\{\boxed{21, \overline{)26, \overline{)28}}, 30,} 30, 32, 35, 36, 40\right\} \\ \frac{26+28}{2}=27 \\ \mathrm{Q}3: \left\{21, 26, 28, 30, 30, \boxed{32, \overline{)35, \overline{)36}}, 40}\right\} \\ \frac{35+36}{2}=35.5 \\ \mathrm{Min}: 21 \\ \mathrm{Max}: 40 \end{gathered}$$

5. Mr. Vasquez’s history class made the following scores on his latest test:$\left\{75, 80, 90, 87, 92, 77, 85, 80, 85, 90\right\}$

$$\begin{gathered} \mathrm{Q}2:\hspace{0.17em}\left\{75, 77, 80, 80, \boxed{85, \overline{)85}}, 87, 90, 90, 92\right\} \\ \frac{85+85}{2}=85 \\ \mathrm{Q}1: \left\{\boxed{75, 77,\overline{) 80}, 80, 85}, 85, 87, 90, 90, 92\right\} \\ \mathrm{Q}3: \left\{75, 77, 80, 80, 85, \boxed{85, 87, \overline{)90}, 90, 92}\right\} \\ \mathrm{Min}: 75 \\ \mathrm{Max}: 92 \end{gathered}$$

6. Longfellow Middle School’s players scored the following number of points in a game: $\left\{20, 21, 32, 26, 30, 32, 24\right\}$

$$\begin{gathered} \mathrm{Q}2:\hspace{0.17em}\left\{20, 21, 24, \overline{)26}, 30, 32, 32\right\} \\ \mathrm{Q}1: \left\{\boxed{20, \overline{)21}, 24}, 26, 30, 32, 32\right\} \\ \mathrm{Q}3: \left\{20, 21, 24, 26, \boxed{30, \overline{)32}, 32}\right\} \\ \mathrm{Min}: 20 \\ \mathrm{Max}: 32 \end{gathered}$$