Jordan Michael runs a basketball camp. A group of randomly selected camp participants were asked to give their shirt size. The table below shows the results of the survey. There are 308308308 camp participants this year.
Shirt size Number of participants
Small 666
Medium 151515
Large 232323
Extra large 121212
Double extra large 444
Based on the data, what is the most reasonable estimate for the number of this year's camp participants who will need a medium shirt?

Respuesta :

Answer:77

Step-by-step explanation:

The most reasonable estimate for the number of this year's basketball camp participants run by Jordan Michael, who will need a medium shirt is 77.

How to find the estimate value?

The estimate value is the product of population size and sample production. The formula to find the estimate value is,

[tex]E(X)=\rm Population \;Size\times Sample\; Production[/tex]

Jordan Michael runs a basketball camp. A group of randomly selected camp participants were asked to give their shirt size.

There are 308 camp participants this year. Thus, the estimate size is 308.

The table below shows the results of the survey.

  • Shirt size            Number of participants
  • Small                            6
  • Medium                       15
  • Large                          23
  • Extra large                  12
  • Double extra large     4

The sample production for medium shirt is,

[tex]\rm Sample\; Production=\dfrac{15}{6+15+23+12+4}\\\rm Sample\; Production=\dfrac{15}{60}\\\rm Sample\; Production=\dfrac{1}{4}[/tex]

The value of estimate is,

[tex]E(X)=308\times\dfrac{1}{4}\\E(X)=77[/tex]

The most reasonable estimate for the number of this year's basketball camp participants run by Jordan Michael, who will need a medium shirt is 77.

Learn more about the estimate value here;

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