Question

Here's another table showing information about 120 movies released in 2005 . This table gives percentages of the table total: a) How can you tell that this table holds table percentages (rather than row or column percentages)? b) What was the most common genre/rating combination in 2005 movies? c) How many of these movies were PG-rated comedies? d) How many were G-rated? e) An editorial about the movies noted, "More than three-quarters of the movies made today can be seen only by patrons 13 years old or older." Does this table support that assertion? Explain.

Short answer

Table data supports table percentages. Identify top genre/rating, calculate PG comedy, G-rated counts, and evaluate editorial claim.

Step-by-step solution

Examine the Table Description

Since the table provides percentages of the total number of movies, any calculations and analyses will be based on the entire set of 120 movies released in 2005, not split by category (row) or genre (column). This is how we know they are table percentages.

Identify the Most Common Genre/Rating Combination

Look for the highest percentage in the table. This percentage reflects the most common genre/rating combination. Identify which genre and rating this percentage corresponds to.

Calculate the Number of PG-rated Comedies

Locate the percentage of PG-rated comedies from the table and convert it to an actual number by multiplying by the total number of movies (120). For example, if PG-rated comedies account for 10% of the total, then the calculation would be 10% of 120.

Calculate the Number of G-rated Movies

Find the percentage of G-rated movies in the table. Convert this to an actual count by multiplying by the total number of movies. For instance, if 15% were G-rated, the calculation is 15% of 120.

Evaluate the Editorial Statement

Add the percentages of all movies rated PG-13 or higher, as these are typically restricted to audiences 13 years and older. If this sum exceeds 75%, the editorial statement is supported by the data. Otherwise, it is not.

Key concepts

Percentage Calculations

When working with percentages, it’s key to understand how they convey information regarding a whole dataset. In the context of data analysis, percentages express how much of the total dataset
a particular subset represents.
This is crucial in making informed conclusions and comparisons.

• If the table shows 'table percentages,' like in this case with the movie data, each percentage is related to the entire dataset, which consists of 120 movies.
• The calculations aren't separated by rows or columns but encompass the whole set.

To express how many PG-rated comedies or G-rated movies there are, these percentages are multiplied by the total number to convert into actual figures. For instance, if PG-rated comedies make up 10%, the calculation would be: \[10\% \times 120 = 12\], indicating there are 12 PG-rated comedies.

Table Interpretation

Understanding how to read and interpret tables is vital for data analysis. Tables present data systematically and allow for quick comprehension of complex datasets.
Especially with percentage tables,
like the one in the exercise, each cell can pinpoint the prevalence of a specific combination

• The critical part is identifying what the percentages refer to—in this case, the total number of movies.
• Location of the highest percentage indicates the most common combination of genre and rating.

Once the table structure is understood, data like quantities of PG-rated comedies or G-rated movies can be extracted by converting percentages to numbers.
Using tables effectively streamlines data analysis and simplifies complex data-driven decision-making.

Genre and Rating Analysis

The genre and rating analysis focus on understanding trends and preferences in movies. By analyzing a table with genre and rating data, we can gain insights into what kinds of movies were more commonly made or well-received.

• The most basic analysis would be identifying the most common genre/rating combination by locating the highest percentage in the table.
• This tells us which type of movie had the most significant presence in 2005.

Additionally, examining the distribution of percentages can reveal patterns, such as certain genres being restricted to specific age-related ratings.
This helps predict and analyze market trends
and audience preferences over time.

PG and G-Rated Movie Statistics

Analyzing movie ratings, particularly PG and G ratings, is a crucial aspect of understanding audience accessibility.
Here, PG-rated movies are generally suitable for children with parental guidance, while G-rated movies are appropriate for all audiences.

• Calculating how many movies were PG or G-rated involves identifying their respective percentages.
• Let's say 15% of movies are G-rated; by multiplying, you find \[15\% \times 120 = 18\] G-rated movies.

To verify claims made about movie ratings, such as those saying most movies are for patrons over 13, add all relevant higher-rated movie percentages and see if this sum surpasses 75%.
This analysis helps stakeholders understand which movies are more inclusive and informs decisions on movie production and marketing strategies.