contestada

Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; seventeen generally sell four cars; thirteen generally sell five cars; eleven generally sell six cars; ten generally sell seven cars. Find the relative and cumulative frequency.

Respuesta :

Relative frequency = frequency of the class total.

Cumulative relative frequency is the accumulation of the previous relative frequencies.

Let us write the given data, then find them

3 cars: 14

4 cars: 17

5 cars: 13

6 cars: 11

7 cars: 10

1. find the total number of cars by adding all numbers above

[tex]\begin{gathered} T=14+17+13+11+10 \\ T=65 \end{gathered}[/tex]

2. divide each number by 65 to find the relative frequency

[tex]\begin{gathered} 3\rightarrow\frac{14}{65} \\ 4\rightarrow\frac{17}{65} \\ 5\rightarrow\frac{13}{65} \\ 6\rightarrow\frac{11}{65} \\ 7\rightarrow\frac{10}{65} \end{gathered}[/tex]

3. To find the cumulative frequency add each fraction by the previous fraction

[tex]\begin{gathered} 3\rightarrow\frac{14}{65} \\ 4\rightarrow\frac{31}{65} \\ 5\rightarrow\frac{44}{65} \\ 6\rightarrow\frac{55}{65} \\ 7\rightarrow\frac{65}{65}=1 \end{gathered}[/tex]

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