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The two-way table shows the number of people whose hobbies are reading or solving puzzles and who either ride a motorcycle or don’t ride a motorcycle. Among people whose hobby is reading, what is the relative frequency of not riding a motorcycle? Express your answer as a decimal, and round it to the nearest hundredth if necessary. Enter your answer in the box. Reading Solving puzzles Ride a motorcycle 7 3 Don't ride a motorcycle 5 9.

Respuesta :

Relative frequency is the ratio of the number of times a value of the data occurs form the total number of outcomes in the set of the data. The relative frequency [tex]f_r[/tex] of not riding a motorcycle among people whose hobby is reading is 5/12 or 0.42.

Given information-

Ride a motorcycle and reading 7.

Ride a motorcycle and solving puzzle 3.

Don't ride a motorcycle but reading 5.

Don't ride a motorcycle but solving puzzle 9.

Relative frequency

Relative frequency is the ratio of the number of times a value of the data occurs form the total number of outcomes in the set of the data.

The people who like to reading are,

[tex]7+5=12[/tex]

The number of people not riding a motorcycle among people whose hobby is reading are 5.

The relative frequency [tex]f_r[/tex] of not riding a motorcycle among people whose hobby is reading,

[tex]f_r=\dfrac{5}{12} \\[/tex]

[tex]f_r=0.42[/tex]

Thus the relative frequency [tex]f_r[/tex] of not riding a motorcycle among people whose hobby is reading is 5/12 or 0.42.

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