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Statistics, STD2 S1 2024 GEN1* 6

More than 11 000 athletes from more than 200 countries competed in the Tokyo Summer Olympic Games.

An analysis of the number of athletes per country produced the following five-number summary.

Find the smallest number of athletes per country that would display as an outlier on a boxplot of this dataset.   (2 marks)

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Statistics, STD2 S1 2016 VCE-G 2*

A weather station records daily maximum temperatures

The five-number summary for the distribution of maximum temperatures for the month of February is displayed in the table below. 


  1. Use the five-number summary above to construct a boxplot on the grid below.   (1 mark)
      


  1. Show, using calculations, that there are no outliers in the dataset.   (2 marks)

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a.   

 

b.   

 
 

 

 
 

 

Statistics, STD2 S1 2019 VCE-G 2*

The five-number summary below was determined from the sleep time, in hours, of a sample of 59 types of mammals.

  1. Show with calculations, that a boxplot constructed from this five-number summary will not include outliers.   (2 marks)

  2. Construct the boxplot below.   (1 mark)

     

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  2.  
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a.   

 
 

 

 
 

 


 

b.