After six biology tests, Ruben has a mean score of 75. What score does Ruben need on the next test to raise his average (mean) to 77?
Question
After six biology tests, Ruben has a mean score of 75. What score does Ruben need on the next test to raise his average (mean) to 77?
Solution
To solve this problem, we need to understand that the mean (average) is calculated by summing all the values and then dividing by the number of values.
Step 1: Calculate the total score Ruben has currently. Ruben's mean score is 75 after 6 tests, so his total score is 75 * 6 = 450.
Step 2: Determine the total score Ruben needs to have an average of 77 after 7 tests. To have a mean score of 77 after 7 tests, Ruben's total score needs to be 77 * 7 = 539.
Step 3: Subtract Ruben's current total score from the desired total score to find out what score he needs on the next test. So, the score Ruben needs on the next test is 539 - 450 = 89.
Therefore, Ruben needs to score 89 on his next test to have an average of 77.
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