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Martin collected data from students about whether they played a musical instrument. The table shows his results. Instrument No Instrument TOTAL Boys 32 60 92 Girls 38 68 TOTAL 70 90 160 What is the relative frequency of a boy playing an instrument? Write the answer as a decimal, rounded to the nearest hundredth.

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Answer:

Step-by-step explanation:

For the data collected by Martin from students about whether they played a musical instrument, the relative frequency of a boy playing an instrument is 0.348.

What is relative frequency?

Relative frequency of an event is the measure of something happens relative to the total outcomes of that event.

The relative frequency can be given as,

[tex]f_r=\dfrac{f}{n}[/tex]

Here, (f) is the frequency of the number of times data occurred in an event and (n) is the total number of outcomes.

The relative frequency can also be defined as, it is the ratio of subgroup frequency to the total frequency of any event.

Martin collected data from students about whether they played a musical instrument.

The table shows his results.

  •            Instrument   No Instrument  TOTAL
  • Boys           32                60                  92
  • Girls            38                68
  • TOTAL        70                90                  160

Here, the total number of boys are 92 and the total number of boys who play instrument is 32. Thus, the relative frequency is,

[tex]f_r=\dfrac{32}{92}\\f_r=0.348[/tex]

Thus, for the data collected by Martin from students about whether they played a musical instrument, the relative frequency of a boy playing an instrument is 0.348.

Learn more about the relative frequency here;

https://brainly.com/question/3857836

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