Given:
The frequency distribution table.
To find:
The mean average score on a test.
Solution:
The frequency distribution table is
[tex]Marks (x_i)[/tex] [tex]Frequency(f_i)[/tex] [tex]f_ix_i[/tex]
x a xa
y b yb
z c zc
Sum a+b+c xa+yb+zc
Now, the mean average score on the test is
[tex]Mean=\dfrac{\sum f_ix_i}{\sum f_i}[/tex]
[tex]Mean=\dfrac{xa+yb+zc}{a+b+c}[/tex]
Therefore, the mean average score on the test is [tex]\dfrac{xa+yb+zc}{a+b+c}[/tex].
