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A high school reports that its students SAT scores were down by 20% for one year. The next year, however, SAT scores rose by 30%.The high school principal announces, "Overall test scores have improved by 10% over the past two years." ---------- State whether this statement is true or false, and explain why. If a statement is false, state the true change(answer).

 Jan 17, 2017
 #1
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False. Only up 4%. From 100 down to 80 up to 104.

 Jan 17, 2017
 #2
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That statemanet is false...here is why

say the average score is 'x'     then the scores go down 20%  to   0.8 x 

now the scores go up 30% from 0.8x to   1.04 x  

that shows that in two years scores went from

   1.0 x to 1.04 x     and increase of only .04 x  which correlates to only 4%  increase (not 10%)

 Jan 17, 2017

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