Q: Using the data in the third image, what percentage of the crew died when the Titanic sank?

$$\frac{673}{885} \times 100 \approx 76.05\%$$

Question 1

Refer to the first image (Figure 2.2). What is the main problem with using the ship diagram to display the number of people in each class on the Titanic?

Accepted Answer

It violates the area principle by making the area of the ships misleading, exaggerating the number of crew members.

Question 2

Based on the contingency table in the second image, what is the marginal distribution of survival status (Alive vs. Dead) for all passengers and crew on the Titanic?

Accepted Answer

$$\frac{711}{2201}$$ alive, $$\frac{1490}{2201}$$ dead

Question 3

Using the data in the third image, what percentage of the crew died when the Titanic sank?

Accepted Answer

$$\frac{673}{885} 	imes 100 \approx 76.05\%$$

Question 4

Refer to the fourth image (Tabulated Statistics: Class, Survival Status). What does the value 9.22 in the 'Alive' row and 'First' column represent?

Accepted Answer

The percentage of all Titanic passengers who were first class and survived.

Question 5

In the sixth image (Tabulated Statistics: Survival Status, Class), what does the value 62.46 in the 'Alive' row and 'First' column represent?

Accepted Answer

The percentage of first class passengers who survived.

Question 6

Based on the pie charts in the twelfth image, which class had the highest proportion among those who died on the Titanic?

Accepted Answer

Crew

Question 7

In the thirteenth image (pie chart of alcohol and drug use), what is the main error in interpreting the percentages shown?

Accepted Answer

The percentages add up to more than 100%, indicating that categories are not mutually exclusive.

Question 8

Refer to the fourteenth image (Centreville sign). What is the statistical issue with reporting the 'Average' on this sign?

Accepted Answer

The sign does not specify what the 'Average' refers to, making the statistic meaningless without context.

Question 9

In the histogram of earthquake magnitudes (sixteenth image), what does the gap at the interval 4.4 to 4.6 indicate?

Accepted Answer

There were no earthquakes with magnitudes in that interval in the data set.

Question 10

Based on the stem-and-leaf display of pulse rate (eighteenth image), what is the median pulse rate for the 24 women?

Accepted Answer

72

Displaying and Describing Categorical Data: Contingency Tables, Conditional Distributions, and Graphical Summaries

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