If the mean score on a set of 24 tests is 81and two more students took the test and score a 70 and a 59 what would be the new mean?
easy way
26 tests, 24 *81 + 70 + 59 = 2073
2073/26 = 79.7
24 * 81 = 1944
(1,944 + 70 + 59)/26 = ?
Thank you both for helping me with this problem.
You're very welcome.
To find the new mean, we need to incorporate the scores of the additional two students.
First, let's calculate the sum of the scores on the 24 tests:
Sum of the scores = Mean × Number of tests = 81 × 24 = 1944
Now let's include the scores of the two additional students:
New sum of the scores = Sum of the scores + Additional scores = 1944 + 70 + 59 = 2073
To find the new mean, we divide the new sum of scores by the total number of tests:
New mean = New sum of scores ÷ Total number of tests = 2073 ÷ (24 + 2) = 2073 ÷ 26 = 79.73
Therefore, the new mean score, rounded to two decimal places, would be approximately 79.73.