noj has the following test scores 69 74 76 84 91 his teacher will allow him to retake the test on which he scored lowest noj wants an average of at least 82 determine the least number of additional points noj must score on the retest

5 tests at 82 pts each requires 410 points.

So, remove the lowest score, add up the others, and see how much more he needs to get to 410.

85

To determine the least number of additional points Noj must score on the retest, we need to find the test score he needs to achieve an average of at least 82.

Step 1: Calculate the current average of Noj's test scores.
Add up all the test scores: 69 + 74 + 76 + 84 + 91 = 394.
Divide the sum by the total number of tests (5): 394 / 5 = 78.8.

Step 2: Determine the lowest test score.
From the given test scores, we can see that Noj's lowest test score is 69.

Step 3: Calculate the additional points needed.
To find the additional points Noj needs on the retest, we subtract the current average from the desired average and round it up to the nearest whole number.

Additional points needed = (Desired average - Current average) * Total number of tests
Additional points needed = (82 - 78.8) * 5
Additional points needed = 3.2 * 5
Additional points needed = 16

Therefore, Noj must score at least 16 additional points on the retest to achieve an average of at least 82.