Question

State whether the following statement is true or​ false, and explain why. If the statement is​ false, state the true change. A high school reports that its​ students' SAT scores were down by 12​% in one year. The next​ year, however, the test scores rose by 20​%. The high school principal​ announces, "Overall, test scores have improved by 8​% over the past two​ years."

Answer 1

Answer:

False

Step-by-step explanation:

Given that a high school reports that its​ students' SAT scores were down by 12​% in one year. The next​ year, however, the test scores rose by 20​%.

Let score initially be 100

Down by                     12

Next year score         88

For succeedingyear

increase is 20%        =$20% of 88=17.6$

Score in the 2nd year = $88+17.6 = 105.6$

Hence overall scores improvement is 5.6% and not 8%