Question

In a psychology class, 32 students have a mean score of 93.2 on a test. Then 16 more students take the test and their mean score is 63.4.What is the mean score of all of these students together? Round to one decimal place.mean of the scores of all the students =​

Answer 1

Answer:  83.3

Step-by-step explanation:

Formula :

$\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}$                   (1)

$\Rightarrow\ \text{Sum of all observations}=\text{Mean x (Number of observations)}$           (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

$=\dfrac{3996.8}{48}=83.2666666667\approx83.3$

Hence, the mean score of all of these students together is 83.3.