Answer: 83.3
Step-by-step explanation:
Formula :
[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}[/tex] (1)
[tex]\Rightarrow\ \text{Sum of all observations}=\text{Mean x (Number of observations)}[/tex] (2)
Given : In a psychology class, 32 students have a mean score of 93.2 on a test.
By Using (2) , Sum of scores of 32 students = 93.2 x 32 =2982.4 (3)
Then 16 have a mean score of 63.4.
Again, By Using (2) , Sum of scores of 16 students = 63.4 x 16 =1014.4 (4)
Total students = 32+16 = 48
Add (3) and (4) , we get combined score of 48 students = 2982.4+ 1014.4
=3996.8
Now , by using (2) , the mean score of all of these students together
[tex]=\dfrac{3996.8}{48}=83.2666666667\approx83.3[/tex]
Hence, the mean score of all of these students together is 83.3.
