Question
Determine graphically the value of median, D3, and P35 for the data given below:
Class | 10-15 | 15-20 | 20-25 | 25-30 | 30-35 | 35-40 | 40-45 |
Frequency | 8 | 14 | 8 | 25 | 15 | 14 | 6 |
Class | 10-15 | 15-20 | 20-25 | 25-30 | 30-35 | 35-40 | 40-45 |
Frequency | 8 | 14 | 8 | 25 | 15 | 14 | 6 |
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| X | 1 | 3 | 5 | 7 | 9 | 11 | 13 |
| Y | 12 | 10 | 8 | 6 | 4 | 2 | 0 |
\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}
\begin{aligned}
& f(x)=\left(\frac{5 x-8}{8-3 x}\right)^{\frac{3}{2 x-4}} \text { for } x \neq 2 \\
& =k \text { for } x=2 \text { at } x=2
\end{aligned}
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 |