Questions: Given the following Grouped Frequency Distribution Table, how many individual partiers were at least 41 years-old?
Age of partier How many?
21-25 32
26-30 48
31-35 27
36-40 24
41-45 21
46-50 13
34
13
131
144
21
Transcript text: Given the following Grouped Frequency Distribution Table, how many individual partiers were at least 41 years-old?
\begin{tabular}{|c|c|}
\hline Age of partier & How many? \\
\hline $21-25$ & 32 \\
\hline $26-30$ & 48 \\
\hline $31-35$ & 27 \\
\hline $36-40$ & 24 \\
\hline $41-45$ & 21 \\
\hline $46-50$ & 13 \\
\hline
\end{tabular}
34
13
131
144
21
Solution
Solution Steps
To find the number of individual partiers who were at least 41 years old, we need to sum the frequencies of the age groups that start from 41 years old and above. Specifically, we will add the frequencies of the age groups 41-45 and 46-50.
Step 1: Identify Relevant Age Groups
To determine the number of partiers who are at least 41 years old, we focus on the age groups \(41-45\) and \(46-50\).
Step 2: Sum the Frequencies
We sum the frequencies of the identified age groups:
\[
\text{Total} = \text{Frequency of } (41-45) + \text{Frequency of } (46-50) = 21 + 13
\]
Step 3: Calculate the Total
Calculating the total gives:
\[
\text{Total} = 21 + 13 = 34
\]
Final Answer
The number of individual partiers who were at least 41 years old is \\(\boxed{34}\\).