Questions: listribution for the given data.
when award was won Frequency
25
37
11
9 3
9 5
9 2
1
Age (years) of Best Actress when award was won Cumulative Frequency
Less than 30
Less than 40
Less than 50
Less than 60
Less than 70
Transcript text: listribution for the given data.
\begin{tabular}{l|c}
when award was won & Frequency \\
\hline & 25 \\
& 37 \\
11 \\
9 & 3 \\
9 & 5 \\
9 & 2 \\
1
\end{tabular}
\begin{tabular}{cr}
Age (years) of Best Actress when award was won & Cumulative Frequency \\
\hline Less than 30 & $\square$ \\
\hline Less than 40 & $\square$ \\
\hline Less than 50 & $\square$ \\
\hline Less than 60 & $\square$ \\
\hline Less than 70 & $\square$
\end{tabular}
Solution
Solution Steps
To solve this problem, we need to calculate the cumulative frequency for each age group. The cumulative frequency is the sum of the frequencies for all age groups up to and including the current group.
Solution Approach
Extract the frequency data from the given table.
Calculate the cumulative frequency for each age group by summing the frequencies up to that point.
Store the cumulative frequencies in a list and print the results.
Step 1: Extract Frequency Data
We start by extracting the frequency data from the given table. The frequencies are:
\[ 25, 37, 11, 9, 3, 5, 2, 1 \]
Step 2: Calculate Cumulative Frequencies
Next, we calculate the cumulative frequencies by summing the frequencies up to each point. The cumulative frequencies are:
\[ 25, 62, 73, 82, 85, 90, 92, 93 \]
Step 3: Define Age Groups
We define the age groups as follows:
Less than 30
Less than 40
Less than 50
Less than 60
Less than 70
Step 4: Assign Cumulative Frequencies to Age Groups
We assign the calculated cumulative frequencies to the corresponding age groups:
Less than 30: \(25\)
Less than 40: \(62\)
Less than 50: \(73\)
Less than 60: \(82\)
Less than 70: \(85\)
Final Answer
\(\boxed{\text{Less than 30: } 25, \text{ Less than 40: } 62, \text{ Less than 50: } 73, \text{ Less than 60: } 82, \text{ Less than 70: } 85}\)