the average score on a math test for 16 students was 66. six more students took the test. the average of the six was 74. What was the average of all of the students?
The total of the first 16 students' marks was
16x66 or 1056
the total of the new students' marks was
6x74 or 444
so the total of the 22 students was 1500
giving an average of 1500/22 or appr 68.2
To find the average of all the students, including the additional six, we need to calculate the total score and the total number of students.
We know that the average score of the initial 16 students was 66. To find the total score of these students, we can multiply the average by the number of students: 16 * 66 = 1056.
Next, we also know that the average score of the additional six students was 74. Multiplying this average by the number of students gives us the total score of the additional six: 6 * 74 = 444.
To find the total score of all the students, we add the total score of the initial 16 students to the total score of the additional six students: 1056 + 444 = 1500.
Lastly, we need to find the total number of students. Since there were initially 16 students and an additional six, the total number of students is 16 + 6 = 22.
To find the average, we divide the total score by the total number of students: 1500 / 22 = 68.18.
Therefore, the average score of all the students, including the additional six, is approximately 68.18.