2. A smartphone manufacturer is advertising that its new smartphone has the best battery life. Thirty smartphones were randomly selected and the number of hours each smartphone lasted before reaching 0% battery is recorded below. A. Using the following distribution of battery life (in hours) of the latest new smartphone, construct a box & whisker plot on the graph paper and display the 5-number summary on the boxplot. BATTERY LIFE (IN NUMBER OF HOURS) 50, 25, 39, 37, 49, 48, 62, 44, 41, 34, 38, 39, 40, 49, 32, 36, 44, 49, 47, 44, 49, 46, 39, 38, 44, 45, 50, 43, 40, 42 (Σx- 1283 md Σχ 56261 ) B. State the 5-Number Summary: Min: Lower Quartile: Median: Upper Quartile: Мах: C. State the shape of the Box Plot. D. What does the shape of the Box Plot indicate about the battery lives of the new smartphone? E. Using the modified box plot function of your TI Calculator modified box plot, determine if there are any outliers or potential outliers. If outlier(s) exist, then state the value of the outlier(s).

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### Battery Life Analysis of the Latest Smartphone

**2.** A smartphone manufacturer is advertising that its new smartphone has the best battery life. Thirty smartphones were randomly selected and the number of hours each smartphone lasted before reaching 0% battery is recorded below.

#### A. Construct a Box & Whisker Plot
Using the following distribution of battery life (in hours) of the latest new smartphone, construct a box & whisker plot on the graph paper and display the 5-number summary on the boxplot.

**Battery Life (in Number of Hours):**
\[50, 25, 39, 37, 49, 48, 62, 44, 41, 34, 38, 39, 40, 49, 32, 36, 44, 49, 47, 4, 49, 46, 39, 38, 44, 45, 50, 43, 40, 42\]

\[
\sum x = 1283 \quad \text{and} \quad \sum x^2 = 56261
\]

\[ \begin{array}{|c|}
\hline
\text{BATTERY LIFE (IN NUMBER OF HOURS)} \\
50, 25, 39, 37, 49, 48, 62, 44, 41, 34, 38, 39, 40, 49, 32, 36, 44, 49, 47, 4, 49, 46, 39, 38, 44, 45, 50, 43, 40, 42 \\
\hline
\end{array} \]

*Include a Box & Whisker Plot here based on the above data points on the provided graph paper.*

#### B. State the 5-Number Summary:
1. Minimum: __________
2. Lower Quartile: __________
3. Median: __________
4. Upper Quartile: __________
5. Maximum: __________

#### C. State the shape of the Box Plot.
__________________________________________________________

#### D. Interpretation of the Box Plot:
What does the shape of the Box Plot indicate about the battery lives of the new smartphone?
__________________________________________________________
__________________________________________________________
__________________________________________________________

#### E. Identifying Outliers:
Using the modified box plot function of your TI Calculator modified box
Transcribed Image Text:--- ### Battery Life Analysis of the Latest Smartphone **2.** A smartphone manufacturer is advertising that its new smartphone has the best battery life. Thirty smartphones were randomly selected and the number of hours each smartphone lasted before reaching 0% battery is recorded below. #### A. Construct a Box & Whisker Plot Using the following distribution of battery life (in hours) of the latest new smartphone, construct a box & whisker plot on the graph paper and display the 5-number summary on the boxplot. **Battery Life (in Number of Hours):** \[50, 25, 39, 37, 49, 48, 62, 44, 41, 34, 38, 39, 40, 49, 32, 36, 44, 49, 47, 4, 49, 46, 39, 38, 44, 45, 50, 43, 40, 42\] \[ \sum x = 1283 \quad \text{and} \quad \sum x^2 = 56261 \] \[ \begin{array}{|c|} \hline \text{BATTERY LIFE (IN NUMBER OF HOURS)} \\ 50, 25, 39, 37, 49, 48, 62, 44, 41, 34, 38, 39, 40, 49, 32, 36, 44, 49, 47, 4, 49, 46, 39, 38, 44, 45, 50, 43, 40, 42 \\ \hline \end{array} \] *Include a Box & Whisker Plot here based on the above data points on the provided graph paper.* #### B. State the 5-Number Summary: 1. Minimum: __________ 2. Lower Quartile: __________ 3. Median: __________ 4. Upper Quartile: __________ 5. Maximum: __________ #### C. State the shape of the Box Plot. __________________________________________________________ #### D. Interpretation of the Box Plot: What does the shape of the Box Plot indicate about the battery lives of the new smartphone? __________________________________________________________ __________________________________________________________ __________________________________________________________ #### E. Identifying Outliers: Using the modified box plot function of your TI Calculator modified box
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