Question

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

Answer 1

Noj must score at least 85 on the retest to raise his average to at least 82.

Step-by-step explanation:

Noj's current test scores are 76, 84, 69, 74, and 91. To calculate the minimum score Noj needs on the retest to achieve an average score of at least 82, we have to first find the sum of his current scores, subtract the lowest score (which he will retake), and then set up an equation to find the unknown retest score (let's call it x).

The sum of the current scores is 76 + 84 + 69 + 74 + 91 = 394. Removing the lowest score, which is 69, the sum is now 394 - 69 = 325. Noj has taken 4 tests (excluding the retest), and he wants the average of all 5 tests to be at least 82. So, the total points required for an average of 82 across 5 tests is 82 × 5 = 410.

The equation to find the minimum retest score is therefore 325 + x = 410, where x represents the new score on the lowest test. Solving for x gives us x = 410 - 325, which means x = 85. This tells us that Noj must score at least 85 on the retest to achieve an average of 82.

Answer 2

74 because it is the farthest number from 84