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The two-way table shows the number of ninth and tenth graders who prefer going to sporting events or going to the movies. Among tenth graders, what is the relative frequency of preferring sporting events? Express your answer as a decimal, and round it to the nearest hundredth if necessary. Enter your answer in the box. Sporting events Movies 9th graders 9 4 10th graders 6 8.

Respuesta :

Relative frequency is the ratio of the number of times a data or outcome occurs to the total outcomes. The relative frequency among the tenth grades students of preferring sporting events round to the nearest tenth is 0.43.

Given information-

In the given table,

The number of ninth grade student who prefer going to sporting events is 9.

The number of ninth grade student who prefer going to movie is 4.

The number of tenth grade student who prefer going to sporting event is 6.

The number of tenth grade student who prefer going to movie is 8.

Relative frequency

Relative frequency is the ratio of the number of times a data or outcome occurs to the total outcomes. It can be calculated dividing the number of times an event occurs by the total number of times event occurs.

The total time the combined sporting event and the movies is preferred by the 10th grade student,

[tex]6+8=14[/tex]

The total time the sporting event is preferred by the 10th grade student is 6. Thus among tenth graders students, the relative frequency [tex]f_r[/tex] of preferring sporting events can be calculated as,

[tex]f_r=\dfrac{6}{14}[/tex]

[tex]f_r=0.4285[/tex]

Round to the nearest tenth,

[tex]f_r=0.43[/tex]

Thus the relative frequency among the tenth grades students of preferring sporting events round to the nearest tenth is 0.43.

Learn more about the relative frequency here;

https://brainly.com/question/10453208

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