Questions: The following data represents the age of 30 lottery winners. 24, 28, 34, 36, 37, 39, 39, 43, 43, 49, 50, 51, 54, 55, 56, 57, 59, 61, 61, 65, 67, 70, 73, 75, 75, 76, 76, 78, 80, 82 Complete the frequency distribution for the data. Age Frequency 20-29 30-39 40-49 50-59 60-69 70-79 80-89

The following data represents the age of 30 lottery winners.
24, 28, 34, 36, 37, 39, 39, 43, 43, 49, 50, 51, 54, 55, 56, 57, 59, 61, 61, 65, 67, 70, 73, 75, 75, 76, 76, 78, 80, 82

Complete the frequency distribution for the data.
Age Frequency
20-29
30-39
40-49
50-59
60-69
70-79
80-89

Transcript text: The following data represents the age of 30 lottery winners. \begin{tabular}{|l|l|l|l|l|l|} \hline 24 & 28 & 34 & 36 & 37 & 39 \\ \hline 39 & 43 & 43 & 49 & 50 & 51 \\ \hline 54 & 55 & 56 & 57 & 59 & 61 \\ \hline 61 & 65 & 67 & 70 & 73 & 75 \\ \hline 75 & 76 & 76 & 78 & 80 & 82 \\ \hline \end{tabular} Complete the frequency distribution for the data. \begin{tabular}{|c|l|} \hline Age & Frequency \\ \hline $20-29$ & $\square$ \\ \hline $30-39$ & $\square$ \\ \hline $40-49$ & $\square$ \\ \hline $50-59$ & $\square$ \\ \hline $60-69$ & $\square$ \\ \hline $70-79$ & $\square$ \\ \hline $80-89$ & $\square$ \\ \hline \end{tabular}

Solution

Solution Steps

To complete the frequency distribution for the given data, we need to count the number of ages that fall within each specified age range.

Step 1: Organize the Data

We are given the ages of 30 lottery winners. The data is as follows: \[ \{24, 28, 34, 36, 37, 39, 39, 43, 43, 49, 50, 51, 54, 55, 56, 57, 59, 61, 61, 65, 67, 70, 73, 75, 75, 76, 76, 78, 80, 82\} \]

Step 2: Define Age Ranges

We need to categorize the ages into the following ranges: \[ 20-29, 30-39, 40-49, 50-59, 60-69, 70-79, 80-89 \]

Step 3: Count Frequencies

We count the number of ages that fall within each range:

$20-29$: 2
$30-39$: 5
$40-49$: 3
$50-59$: 7
$60-69$: 4
$70-79$: 7
$80-89$: 2

Final Answer

The frequency distribution for the given data is: \[ \begin{array}{|c|c|} \hline \text{Age} & \text{Frequency} \\ \hline 20-29 & 2 \\ \hline 30-39 & 5 \\ \hline 40-49 & 3 \\ \hline 50-59 & 7 \\ \hline 60-69 & 4 \\ \hline 70-79 & 7 \\ \hline 80-89 & 2 \\ \hline \end{array} \]

$\boxed{\text{Frequency Distribution Completed}}$

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