A movie producer conducted a survey after the screening of his movie to find out how the film would be received by viewers from different age groups. The columns in the two-way table indicate the numbers of viewers who rated the film on a four-point scale: excellent, good, average, and poor.
| Viewer's Age Group | Excellent | Good | Average | Poor | Marginal Totals |
|---|---|---|---|---|---|
| 16-25 | 52 | 42 | 12 | 7 | 113 |
| 26-35 | 33 | 50 | 5 | 9 | 97 |
| 36-45 | 58 | 12 | 28 | 34 | 132 |
| 46-55 | 25 | 17 | 22 | 12 | 76 |
| 56 and Above | 12 | 5 | 3 | 8 | 28 |
| Marginal Totals | 180 | 126 | 70 | 70 | 446 |
Select the correct answer.
What was the most common rating in the $26-35$ age group?
A. Excellent
B. Good
C. Average
D. Poor
E. both Average and Poor
Answer (1)
Identify the ratings for the 26-35 age group: Excellent (33), Good (50), Average (5), Poor (9).
Compare the ratings to find the highest value.
The highest value is 50, which corresponds to the 'Good' rating.
The most common rating in the 26-35 age group is \boxed{Good}.
Explanation
Analyze the problem and data The problem asks for the most common rating given by the 26-35 age group. We need to look at the row corresponding to the 26-35 age group in the table and find the highest number among the 'Excellent', 'Good', 'Average', and 'Poor' ratings.
Identify the ratings for the 26-35 age group Looking at the table, the ratings for the 26-35 age group are:
Excellent: 33
Good: 50
Average: 5
Poor: 9
Compare the ratings Comparing these numbers, we see that 50 is the largest. This corresponds to the 'Good' rating.
Determine the most common rating Therefore, the most common rating in the 26-35 age group is 'Good'.
Examples
Understanding viewer preferences through surveys is crucial in the movie industry. For instance, a producer might use this type of analysis to tailor future movies to appeal to specific age groups, potentially increasing viewership and revenue. If the 26-35 age group consistently rates movies as 'Good', the producer might focus on making more movies that cater to the tastes of this demographic. This could involve specific genres, actors, or themes that resonate with this age group. This ensures that marketing efforts are targeted effectively, maximizing the impact of advertising campaigns.
