Questions: The following data represents the age of 30 lottery winners. 22, 28, 29, 29, 30, 32, 33, 36, 36, 37, 38, 40, 43, 46, 46, 47, 48, 51, 58, 58, 59, 59, 64, 64, 72, 73, 73, 75, 78, 82 Complete the frequency distribution for the data. Bin 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.

22, 28, 29, 29, 30, 32, 33, 36, 36, 37, 38, 40, 43, 46, 46, 47, 48, 51, 58, 58, 59, 59, 64, 64, 72, 73, 73, 75, 78, 82

Complete the frequency distribution for the data.

Bin 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 22 & 28 & 29 & 29 & 30 & 32 \\ \hline 33 & 36 & 36 & 37 & 38 & 40 \\ \hline 43 & 46 & 46 & 47 & 48 & 51 \\ \hline 58 & 58 & 59 & 59 & 64 & 64 \\ \hline 72 & 73 & 73 & 75 & 78 & 82 \\ \hline \end{tabular} Complete the frequency distribution for the data. \begin{tabular}{|c|l|} \hline Bin & Frequency \\ \hline $20-29$ & \\ \hline $30-39$ & \\ \hline $40-49$ & \\ \hline $50-59$ & \\ \hline $60-69$ & \\ \hline $70-79$ & \\ \hline $80-89$ & \\ \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 bin range. The bins are: 20-29, 30-39, 40-49, 50-59, 60-69, 70-79, and 80-89. We will iterate through the list of ages and increment the count for the appropriate bin.

Step 1: Data Overview

We have a dataset representing the ages of 30 lottery winners: \[ \text{ages} = [22, 28, 29, 29, 30, 32, 33, 36, 36, 37, 38, 40, 43, 46, 46, 47, 48, 51, 58, 58, 59, 59, 64, 64, 72, 73, 73, 75, 78, 82] \]

Step 2: Define Bins

We will categorize the ages into the following bins:

\(20-29\)
\(30-39\)
\(40-49\)
\(50-59\)
\(60-69\)
\(70-79\)
\(80-89\)

Step 3: Count Frequencies

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

For \(20-29\): \(4\) ages
For \(30-39\): \(7\) ages
For \(40-49\): \(6\) ages
For \(50-59\): \(5\) ages
For \(60-69\): \(2\) ages
For \(70-79\): \(5\) ages
For \(80-89\): \(1\) age

Step 4: Frequency Distribution Summary

The frequency distribution can be summarized as follows: \[ \begin{align_} 20-29 & : 4 \\ 30-39 & : 7 \\ 40-49 & : 6 \\ 50-59 & : 5 \\ 60-69 & : 2 \\ 70-79 & : 5 \\ 80-89 & : 1 \\ \end{align_} \]

Final Answer

The completed frequency distribution is: \[ \boxed{ \begin{array}{|c|c|} \hline \text{Bin} & \text{Frequency} \\ \hline 20-29 & 4 \\ 30-39 & 7 \\ 40-49 & 6 \\ 50-59 & 5 \\ 60-69 & 2 \\ 70-79 & 5 \\ 80-89 & 1 \\ \hline \end{array} } \]

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Snoring has long been considered an irritating but benign habit. However, "even isolated snoring might not be harmless," according to new research reported in the Forbes article "Snoring: A New Tip-Off to Stroke" (Haiken). The American Academy of Head and Neck Surgery defines snoring as "what you hear as a result of a form of blockage that obstructs the flow of air through the mouth or nose. The blockage causes the tissues of the airway to vibrate and flap." However, it is not the vibration and flapping of airway tissues that makes Henry Ford Hospital researchers Robert Deeb, MD, and Karen Yaremchuk, MD, so concerned. "Snoring can reveal damage to the carotid arteries-the arteries that supply oxygen-rich blood to the brain." In their study, Deeb and Yaremchuk found that the damage to the carotid arteries could be due to the trauma and inflammation caused by the vibrations of snoring. Deeb said that snorers should seek treatment since they could be at risk for coronary artery diseases. Deeb said, "Patients need to seek treatment in the same way they would if they had sleep apnea, high blood pressure or other risk factors for cardiovascular disease." Early detection of cardiovascular disease indicated by snoring can lead people toward an earlier diagnosis and treatment of heart disease. Deeb said, "Snoring is generally regarded as a cosmetic issue by health insurance, requiring significant out-of-pocket expenses by patients. We're hoping to change that thinking so patients can get the early treatment they need, before more serious health issues arise" (Haiken). Sources: "Don't Ignore the Snore: Snoring May Be Early Sign of Future Health Risks." Science Daily, 24 Jan. 2013, www.sciencedaily.com/releases/2013/01/130124122741.htm; Haiken, Melanie. "Snoring: A New Tip-Off to Stroke and Heart Disease." Forbes, 28 Jan. 2013, www.forbes.com/sites/melaniehaiken/2013/01/28/snoring-is-a-tip-off-to-stroke-and-heart-disease-new-research-shows/#f5a21ea56c19.

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