Gathering Data Quick Check
5 of 55 of 5 Items
Question
Use the table to answer the question.
Math Test Scores (%)
Test #1 Test #2 Test #3 Test #4 Test #5 Test #6 Test #7
70 82 95 81 78 82 93
The table shows the percentages of Mario’s math test scores so far this year. If Mario wants his average to increase to an 85 after he takes the next test, what does he need to score?
(1 point)
Responses
73
73
85
85
99
99
680
680
To find out what Mario needs to score on the next test in order to achieve an average of 85, we need to calculate the sum of his current test scores and find the difference between that sum and the desired average multiplied by 8 (since there are a total of 8 tests).
Sum of the current test scores = 70 + 82 + 95 + 81 + 78 + 82 + 93 = 581
Difference = (85 * 8) - 581 = 680 - 581 = 99
Therefore, Mario needs to score a 99 on the next test in order to achieve an average of 85.
To find out what score Mario needs to achieve on the next test to increase his average to 85, we can use the formula:
Average = sum of scores / number of scores
Let's calculate the sum of the scores that Mario already has:
70 + 82 + 95 + 81 + 78 + 82 + 93 = 581
Since there are 7 test scores so far, we divide the sum by 7 to get the current average:
581 / 7 ≈ 83
To increase his average to 85, we need to find out what Mario's total score should be after taking the next test:
Let's call the score on the next test "x."
(581 + x) / 8 = 85
Now, we can solve for x:
581 + x = 85 * 8
581 + x = 680
x = 680 - 581
x ≈ 99
Therefore, Mario needs to score approximately 99 on his next test to increase his average to 85.