NDA 2022
- Exam
- NDA
- Year
- 2022
- Subject
- Mathematics
- Chapter
- Statistics
NDA 2022 · Mathematics · Statistics
Class 0-20 20-40 40-60 60-80 80-100 Frequency 17 p+q 32 p-3 q 19...
| Class | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 |
| Frequency | 17 | p+q | 32 | p-3 q | 19 |
Options
- A1
- B2
- C3
- D4
Correct answer
A. 1
Step-by-step solution
\begin{array}{|c|c|c|c|}\hline C.I & \mathrm{f}_{\mathrm{i}} & \mathrm{x}_{\mathrm{i}}& \mathrm{f}_{\mathrm{i}} \mathrm{X}_{\mathrm{i}} \hline 0-20 & 17 & 10 & 170 \hline 20-40 & \mathrm{P}+\mathrm{q} & 30 & 30(\mathrm{P}+8) \hline 40-60 & 32 & 50 & 1600 \hline 60-80 & \mathrm{P}-3 \mathrm{q} & 70 & 70 \mathrm{P}-210 \mathrm{q} \hline 80-100 & 19 & 90 & 1710 \hline\end{array}68+2 P-2 q \quad 3480+100 p-180 q\therefore 68+2 P-2 q=120\Rightarrow 26 and (ii) we get \mathrm{P}=\mathrm{q}=$1