the average marks for statistics in a class of 30 were 52. the top six students had an average of 31 marks. what were the average marks of the other students?.
It would help if you proofread your questions before you posted them. If the mean for 30 students was 52, how could the top 6 students only average 31?
The following is a partial relative frequency distribution of consumer preferences for four products—W, X, Y, and Z.
Product
Relative
Frequency
W
0.19
X
—
Y
0.11
Z
0.15
--------------------------------------------------------------------------------
(a)
Find the relative frequency for product X. (Round your answer to 2 decimal places.)
Relative frequency
.24
0.9
To find the average marks of the other students, we first need to find the total marks of the top six students. We can then subtract this total from the total marks of the entire class to find the total marks of the other students.
Let's calculate the total marks of the top six students:
Total marks of the top six students = Average marks of the top six students × Number of top six students
= 31 marks × 6 students
= 186 marks
Next, we subtract this total from the total marks of the entire class to find the total marks of the other students:
Total marks of the other students = Total marks of the entire class - Total marks of the top six students
= Average marks of statistics × Number of students - Total marks of the top six students
The total marks of the entire class can be calculated by multiplying the average marks by the number of students:
Total marks of the entire class = Average marks of statistics × Number of students
= 52 marks × 30 students
= 1560 marks
Now we can substitute the values into the equation to find the total marks of the other students:
Total marks of the other students = 1560 marks - 186 marks
= 1374 marks
Since the average marks are calculated by dividing the total marks by the number of students, we can find the average marks of the other students by dividing the total marks by the number of other students:
Average marks of the other students = Total marks of the other students ÷ Number of other students
= 1374 marks ÷ (30 students - 6 students)
= 1374 marks ÷ 24 students
= 57.25 marks
Therefore, the average marks of the other students in the class is 57.25.