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Using data from the 2006 MTF survey, you find the following distribution for the average number of friends that drink alcohol after looking at the 2006 MTF survey

Answer :

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The median class which contains the middle 50% of the distribution in the survey belongs to the MOST category

Creating a frequency distribution table :

Category ___ Frequency ___ Cummulative frequency

Some ______ 120 _________ 120

A few ______ 181 __________301

Some ______ 264 _________ 565

Most _______517 _________ 1082

All _________257 _________1339

  • The median is the 50th percentile of the distribution

  • The median class is the class where 50% of the total frequency of the distribution falls

  • Median class = 50% × 1339 = 669.5

  • From the Cummulative frequency column, 669.5 falls within the MOST category

  • Therefore, the median category belongs to the MOST class.

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