Question:
The mean and standard deviation of marks obtained by 50 students of a class in three subjects, Mathematics, Physics and Chemistry are given below: Subject Mathematics Physics Chemistry Mean 42 32 40.9 Standard 12 15 20 deviation which of the three subjects shows the highest ariability in marks and which shows the lowest?
Answer:
Total number of students = 50
For finding the variability in marks, we have to calculate coefficient of variance for each subject
1. For mathematics:
Mean M = 42
Standard deviation SD = 12
coefficient of variance = (SD/M) * 100
= (12/42) * 100
= (6*100)/7
= 600/7
= 28.57
2. For Physics:
Mean M = 32
Standard deviation SD = 15
coefficient of variance = (Sd/M) * 100
= (15/32) * 100
= (15*100)/32
= (15*25)/8
= 375/8
= 46.88
3. For Chemistry:
Mean M = 40.9
Standard deviation SD = 20
coefficient of variance = (SD/M) * 100
= (20/40.9) * 100
= (20*100*10)/409
= 20000/409
= 48.89
Highest coefficient of varience shows highest viability and lowest coefficient of varience shows lowest viability.
So chemistry subject shows the highest variability and mathematics subject shows the least variability.
Not what you are looking for? Go ahead and submit the question, we will get back to you.
