document.write( "Question 720799: Joey received a report that he scored in the 97th percentile on a national standardized math test but in the 72nd percentile on the reading portion of the test. What do these numbers mean? Can we determine Joey's z-scores for his math and reading performances? Why or why not? \n" ); document.write( "

Algebra.Com's Answer #441979 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
Joey received a report that he scored in the 97th percentile on a national standardized math test but in the 72nd percentile on the reading portion of the test.
\n" ); document.write( "What do these numbers mean?
\n" ); document.write( "----
\n" ); document.write( "95th %ile means Joey's national test is better than 97% other who took the test.
\n" ); document.write( "--------------------------------------
\n" ); document.write( "72%ile mean his math test results are better than 72% others who took the test.
\n" ); document.write( "-------------------------\r
\n" ); document.write( "\n" ); document.write( " Can we determine Joey's z-scores for his math and reading performances?
\n" ); document.write( " Why or why not?
\n" ); document.write( "Yes
\n" ); document.write( "The z-score for 97%ile is invNorm(0.97) = 1.8808
\n" ); document.write( "The z-score fo 72%ile is invNomr(0.72) = 0.5828\r
\n" ); document.write( "\n" ); document.write( "----------------------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );