91影视

The grouped frequency distributions of the ages of the best actors and best actresses are provided.

The relative frequency of a class interval in a grouped frequency distribution is obtained using the formula given below.

$\text{Relative}\text{frequency}\text{of}\text{a}\text{class}\text{interval}=\frac{\text{Frequency}\text{of}\text{a}\text{class}\text{interval}}{\text{Sum}\text{of}\text{all}\text{frequencies}}脳100\%$

A combined relative frequency distribution table is to be constructed for the given frequency distributions.

The table below shows the frequencies of the ages of the best actresses.

The sum of all frequencies is calculated below.

$$\begin{gathered} \text{Sum}\text{of}\text{all}\text{frequencies}=29+34+14+3+5+1+1 \\ =87 \end{gathered}$$

Using the formula mentioned above, the relative frequencies for the different classes are calculated as shown below.

$$\begin{gathered} \text{Relative}{\text{freq}}_1=\frac{29}{87}脳100\% \\ =33.33\% \\ \text{Relative}{\text{freq}}_2=\frac{34}{87}脳100\% \\ =39.08\% \\ \text{Relative}{\text{freq}}_3=\frac{14}{87}脳100\% \\ =16.09\% \\ \text{Relative}{\text{freq}}_4=\frac{3}{87}脳100\% \\ =3.45\% \end{gathered}$$

$$\begin{gathered} \text{Relative}{\text{freq}}_5=\frac{5}{87}脳100\% \\ =5.75\% \\ \text{Relative}{\text{freq}}_6=\frac{1}{87}脳100\% \\ =1.15\% \\ \text{Relative}{\text{freq}}_7=\frac{1}{87}脳100\% \\ =1.15\% \end{gathered}$$

The table below shows the frequencies of the ages of the best actors.

The sum of the frequencies is calculated below.

$$\begin{gathered} \text{Sum}\text{of}\text{all}\text{frequencies}=1+28+36+15+6+1 \\ =87 \end{gathered}$$

Using the formula mentioned above, the relative frequencies for the different classes are calculated as shown below.

$$\begin{gathered} \text{Relative}{\text{freq}}_1=\frac{1}{87}脳100\% \\ =1.15\% \\ \text{Relative}{\text{freq}}_2=\frac{28}{87}脳100\% \\ =32.18\% \\ \text{Relative}{\text{freq}}_3=\frac{36}{87}脳100\% \\ =41.38\% \\ \text{Relative}{\text{freq}}_4=\frac{15}{87}脳100\% \\ =17.24\% \\ \text{Relative}{\text{freq}}_5=\frac{6}{87}脳100\% \\ =6.90\% \\ \text{Relative}{\text{freq}}_6=\frac{1}{87}脳100\% \\ =1.15\% \end{gathered}$$

The combined relative frequency table is obtained as follows.

• The majority of actresses were in the age interval of 30-39 years when they won the Oscar, while the majority of actors were in the age interval of 40-49 years when they won the Oscar.
• The range of age for both actors and actresses isapproximately between 30-70 years.
• A substantial number of actresses have won the Oscar at an early age as compared to the actors.
• On the other hand, a greater number of actors, as compared to actresses, have won the Oscar after the age of 50 years.