Question

# There are 40 students in Joe's class. In a 20 marks class test, 10 students got 16 marks, 20 students got 15 marks and rest 10 students got 10 marks. The weighted average of marks in Joe's class is .

Open in App
Solution

## As per the question, in a 20 marks class test ∙ number of students got 16 marks= 10 ∙ number of students got 15 marks= 20 ∙ number of students got 10 marks= 10 The above data can be represented in table format as Number of students Marks 10(w1) 16(x1) 20(w2) 15(x2) 10(w3) 10(x3) In the above table, the weighted factors (w1,w2,w3) are the number of students (10,20,10), and the corresponding data points (x1,x2,x3) are the student's marks (16,15,10). ∴ Weighted average of marks =(w1×x1)+(w2×x2)+(w3×x3)w1+w2+w3 =(10×16)+(20×15)+(10×10)10+20+10 =160+300+10040 =56040=14 ∴ The weighted average of marks in Joe's class is 14.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Weighted Average
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program