Questions: On the basis of a population survey, there were 85.5 million males and 98.3 million females 25 years old or older Educational Attainment for Men and Women Educational Attainment Males (in millions) Females (in millions) Not a high school graduate (A) 14.8 14.9 High school graduate (B) 27.2 34.2 Some college, but no degree (C) 14.8 15.3 Associate's degree (D) 6.1 7.3 Bachelor's degree (E) 15.5 18.2 Advanced degree (F) 7.1 8.4 Relative Frequency (males)

On the basis of a population survey, there were 85.5 million males and 98.3 million females 25 years old or older Educational Attainment for Men and Women Educational Attainment Males (in millions) Females (in millions) Not a high school graduate (A) 14.8 14.9 High school graduate (B) 27.2 34.2 Some college, but no degree (C) 14.8 15.3 Associate's degree (D) 6.1 7.3 Bachelor's degree (E) 15.5 18.2 Advanced degree (F) 7.1 8.4 Relative Frequency (males)
Transcript text: On the basis of a population survey, there were 85.5 million males and 98.3 million females 25 years old or older Educational Attainment for Men and Women \begin{tabular}{|l|c|c|} \hline \begin{tabular}{l} Educational \\ Attainment \end{tabular} & \begin{tabular}{c} Males \\ (in millions) \end{tabular} & \begin{tabular}{c} Females \\ (in \\ millions) \end{tabular} \\ \hline Not a high school graduate (A) & 14.8 & 14.9 \\ \hline High school graduate (B) & 27.2 & 34.2 \\ \hline Some college, but no degree (C) & 14.8 & 15.3 \\ \hline Associate's degree (D) & 6.1 & 7.3 \\ \hline Bachelor's degree (E) & 15.5 & 18.2 \\ \hline Advanced degree (F) & 7.1 & 8.4 \\ \hline \end{tabular} \begin{tabular}{||c|} \hline Relative Frequency (males) \\ \hline$\square$ \\ \hline$\square$ \\ \hline$\square$ \\ \hline$\square$ \\ \hline$\square$ \\ \hline$\square$ \\ \hline$\square$ \\ \hline \end{tabular}
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Solution

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Solution Steps

To find the relative frequency distribution for males, we need to calculate the proportion of males in each educational attainment category relative to the total number of males. This involves dividing the number of males in each category by the total number of males and expressing the result as a decimal.

Step 1: Total Males

The total number of males surveyed is given as \( 85.5 \) million.

Step 2: Educational Attainment Data

The number of males in each educational attainment category is as follows:

  • Not a high school graduate: \( 14.8 \) million
  • High school graduate: \( 27.2 \) million
  • Some college, but no degree: \( 14.8 \) million
  • Associate's degree: \( 6.1 \) million
  • Bachelor's degree: \( 15.5 \) million
  • Advanced degree: \( 7.1 \) million
Step 3: Calculate Relative Frequencies

The relative frequency for each category is calculated using the formula:

\[ \text{Relative Frequency} = \frac{\text{Number in Category}}{\text{Total Males}} \]

Calculating each relative frequency:

  1. Not a high school graduate: \[ \frac{14.8}{85.5} \approx 0.1731 \]

  2. High school graduate: \[ \frac{27.2}{85.5} \approx 0.3181 \]

  3. Some college, but no degree: \[ \frac{14.8}{85.5} \approx 0.1731 \]

  4. Associate's degree: \[ \frac{6.1}{85.5} \approx 0.0713 \]

  5. Bachelor's degree: \[ \frac{15.5}{85.5} \approx 0.1813 \]

  6. Advanced degree: \[ \frac{7.1}{85.5} \approx 0.0830 \]

Final Answer

The relative frequencies for males in each educational attainment category are:

  • Not a high school graduate: \( 0.1731 \)
  • High school graduate: \( 0.3181 \)
  • Some college, but no degree: \( 0.1731 \)
  • Associate's degree: \( 0.0713 \)
  • Bachelor's degree: \( 0.1813 \)
  • Advanced degree: \( 0.0830 \)

Thus, the final answers are: \[ \boxed{ \begin{align_} \text{Not a high school graduate} & : 0.1731 \\ \text{High school graduate} & : 0.3181 \\ \text{Some college, but no degree} & : 0.1731 \\ \text{Associate's degree} & : 0.0713 \\ \text{Bachelor's degree} & : 0.1813 \\ \text{Advanced degree} & : 0.0830 \\ \end{align_} } \]

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