Question
$2 x+y \geq 8, x+2 y \geq 10$
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\begin{aligned}
& f(x)=\frac{45^x-9^x-5^x+1}{\left(k^x-1\right)\left(3^x-1\right)} \text { for } x \neq 0 \\
& =\frac{2}{3} \text { for } x=0, \text { at } x=0
\end{aligned}
| Indiffer- | Oppose | |
Male | 68 | 46 | 36 |
Female | 27 | 49 | 24 |
| X | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
| F | 6 | 5 | 3 | 2 | 4 | 7 | 3 |
| Weight (Kg) | 40-45 | 45-50 | 50-55 | 55-60 | 60-65 | 65-70 | 70-75 | 75-80 |
| No. of persons | 4 | 15 | 20 | 30 | 20 | 10 | 8 | 4 |
For the above data, find all quartiles and number of persons weighing between 57 kg and 72 kg.
| Daily wages (in ₹) | No. of employees |
| Above 300 | 520 |
| Above 400 | 470 |
| Above 500 | 399 |
| Above 600 | 210 |
| Above 700 | 105 |
| Above 800 | 45 |
| Above 900 | 7 |
| Height in inches | No. of Females |
| Less than 60 | 10 |
| 60-64 | 20 |
| 64-68 | 40 |
| 68-72 | 10 |
| 72-76 | 2 |
| Aptitude score | 40 | 50 | 55 | 60 | 70 | 80 |
| grade points | 1.8 | 3.8 | 2.8 | 1.7 | 3.2 |
Height (in cms.) | No. of students |
| 145-150 | 2 |
| 150-155 | 5 |
| 155-160 | 9 |
| 160-165 | 15 |
| 165-170 | 16 |
| 170-175 | 7 |
| 175-180 | 5 |
| 180-185 | 1 |