| Class intervals | Mid-values | Frequency |
| \[{{x}_{1}}-{{x}_{2}}\] | 15 | 10 |
| \[{{x}_{2}}-{{x}_{3}}\] | 30 | 40 |
| \[{{x}_{3}}-{{x}_{4}}\] | M | 30 |
| \[{{x}_{4}}-{{x}_{5}}\] | 75 | 10 |
| \[{{x}_{5}}-100\] | 90 | 10 |
A) \[(0,20,40,60,80)\]
B) \[(40,50,60,70,80)\]
C) \[(10,20,40,70,80)\]
D) \[(0,19.5,39.5,69.5,80)\]
Correct Answer: C
Solution :
[c] \[\frac{\Sigma {{x}_{i}}{{f}_{i}}}{\Sigma {{f}_{i}}}=46.5\] \[\Rightarrow \frac{15\times 10+30\times 40+M\times 30+75\times 10+90\times 10}{10+40+30+10+10}=46.5\]\[\therefore M=55.\] so the class intervals can be \[10-20,20-40,40-70,70-80,80-100\]
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