Answer:
(a) The average grade point is 2.5.
(b) The relative frequency table is show below.
(c) The mean of the relative frequency distribution is 0.3333.
Step-by-step explanation:
The given data set is
4, 4, 4, 3, 3, 3, 1, 1, 1, 1
(a)
The average grade point is
[tex]Average=\frac{\sum x}{n}[/tex]
[tex]Average=\frac{4+4+4+3+3+3+1+1+1+1}{10}[/tex]
[tex]Average=2.5[/tex]
Therefore the average grade point is 2.5.
(b)
[tex]\text{Relative frequency}=\frac{\text{Frequency of number}}{\text{Total frequency}}[/tex]
The relative frequency table is show below:
x f Relative frequency
4 3 [tex]\frac{3}{10}=0.3[/tex]
3 3 [tex]\frac{3}{10}=0.3[/tex]
1 4 [tex]\frac{4}{10}=0.4[/tex]
(c)
Mean of the relative frequency distribution is
[tex]Average=\frac{0.3+0.3+0.4}{3}[/tex]
[tex]Average=0.3333[/tex]
Therefore the mean of the relative frequency distribution is 0.3333.
