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Rodriguez Graham

07/31/2024 · Junior High School

Select the correct answer from each drop-down menu.

The table shows data from a survey on college enrollment.

The marginal total 4.293 is _____ . The relative frequency of females in the 35 -plus age group compared with the total number of students, expressed as a percentage, is ____

Answer
expertExpert-Verified Answer

Rogers Wade
Qualified Tutor
5.0 (24votes)

The marginal total 4,293 is the total number of students in the 25-34 age group. The relative frequency of females in the 35-plus age group compared with the total number of students, expressed as a percentage, is 10.86%.

 

Solution

  1. Marginal Total 4,293:
    • The marginal total of 4,293 represents the total number of students in the 25-34 age group (1,843 males + 2,450 females = 4,293).
  2. Relative Frequency of Females in the 35-Plus Age Group:
    • The number of females in the 35-plus age group is 2,124.
    • The total number of students is 19,558.
    • The relative frequency is calculated as:
      \[\left ( \frac { 2,124} { 19,558} \right ) \times 100 \approx 10.86\% \]

 

Supplemental Knowledge

In statistics, a marginal total refers to the sum of the frequencies in a row or column of a contingency table. This helps in understanding the overall distribution of data across different categories. For instance, in your table, the marginal total for the 25-34 age group is 4,293, which is the sum of males and females in that age group.
The relative frequency is a measure that shows how often a particular value occurs compared to the total number of observations. It can be expressed as a percentage by multiplying the relative frequency by 100. For example, if you have 2,124 females in the 35-plus age group out of a total of 19,558 students, you calculate their relative frequency as follows: (2,124 / 19,558) * 100.
Understanding these concepts helps you analyze data effectively and make informed decisions based on statistical evidence.

 

Life in Context 

Imagine you're hosting a community event and need a better understanding of who will attend it. By creating a table like the one shown here with age groups and gender categories, it will allow you to identify how many from each are attending; using this data effectively may enable activities and resources tailored towards meeting audience requirements more successfully.
Assuming your target demographic of 18-24-year-old female attendees are predominantly aged between 18-24, you might adapt activities accordingly. Understanding relative frequencies also can assist businesses in making strategic marketing campaign decisions by identifying customer key demographics.

 

To deepen your understanding of statistics and enhance your ability to analyze data effectively, explore UpStudy’s live tutor question bank or AI-powered problem-solving services. These resources offer personalized assistance tailored to your learning needs. Dive into real-world applications and master statistical concepts with ease through UpStudy's comprehensive support system!

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