- 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).
- 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.
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