document.write( "Question 1184073: The box-and-whisker plots below show the results of a History test and a
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document.write( "Geography test.
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document.write( "A box-and-whisker plot separates data into 4 quartiles meaning each quartile
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document.write( "represents 25%.
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document.write( "In History, a total of 112 students completed the test. The number of students
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document.write( "who scored above 30 marks was the same for both the History, and Geography,
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document.write( "test.
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document.write( "Using this information, calculate how many students completed the Geography
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document.write( "Test. \n" );
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Algebra.Com's Answer #849880 by CPhill(1959)![]() ![]() You can put this solution on YOUR website! Here's how to solve this problem:\r \n" ); document.write( "\n" ); document.write( "**1. Students above 30 in History:**\r \n" ); document.write( "\n" ); document.write( "* The box plot shows that 75% of students scored above 30 in History (since 30 is the lower quartile, or Q1). \n" ); document.write( "* Number of students above 30 in History = 0.75 * 112 = 84 students\r \n" ); document.write( "\n" ); document.write( "**2. Students above 30 in Geography:**\r \n" ); document.write( "\n" ); document.write( "* The problem states that the number of students above 30 is the same for both tests. \n" ); document.write( "* Therefore, 84 students scored above 30 in Geography.\r \n" ); document.write( "\n" ); document.write( "**3. Total students in Geography:**\r \n" ); document.write( "\n" ); document.write( "* The box plot shows that 30 is also the lower quartile (Q1) for Geography, meaning 75% of the students scored above 30. \n" ); document.write( "* Let 'x' be the total number of students who took the Geography test. \n" ); document.write( "* 0.75 * x = 84 \n" ); document.write( "* x = 84 / 0.75 = 112\r \n" ); document.write( "\n" ); document.write( "**Answer:** 112 students completed the Geography Test. \n" ); document.write( " \n" ); document.write( " |