![\[\begin{tabular}{|l|l|} \hline Height (in cm) & No. of Students \\ \hline $140-145$ & 12 \\ \hline $145-150$ & 20 \\ \hline $150-155$ & 30 \\ \hline $155-160$ & 38 \\ \hline $160-165$ & 24 \\ \hline $165-170$ & 16 \\ \hline $170-175$ & 12 \\ \hline $175-180$ & 8 \\ \hline \end{tabular}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-f8f9b3e65602583d450f3c94de7d5ead_l3.png "Rendered by QuickLaTeX.com")
of height on one axis and 
students on the other axis. Using the graph, determine: 
.Solution:
![\[\begin{tabular}{|l|l|l|} \hline \text { Height (in cm) } & \text { No. of Students } & \text { Cumulative frequency } \\ \hline 140-145 & 12 & 12 \\ \hline 145-150 & 20 & 32 \\ \hline 150-155 & 30 & 62 \\ \hline 155-160 & 38 & 100 \\ \hline 160-165 & 24 & 124 \\ \hline 165-170 & 16 & 140 \\ \hline 170-175 & 12 & 152 \\ \hline 175-180 & 8 & 160 \\ \hline & N =160& \\ \hline \end{tabular}\\\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-bb7204c6f46a28566aba510957eb2071_l3.png "Rendered by QuickLaTeX.com")
Let’s now draw an ogive taking height of student along 
and cumulative frequency along 
.
(i) Draw a vertical line through mark for 
on 
which meets the curve; then from the curve draw a horizontal line which meets the 
at the mark of 
.
So now,
No. of students whose height is above 
![\[\begin{array}{l} \square \vec{r}=(\hat{i}+\hat{j})+\lambda(2 \hat{i}-\hat{j}+\hat{k}) \\ \vec{r}=(2 \hat{i}+\hat{j}-\hat{k})+\mu(3 \hat{i}-5 \hat{j}+2 \hat{k}) \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-2f8ab5b81e582387cb9ae472791476e4_l3.png "Rendered by QuickLaTeX.com")
![\left[\mathrm{Ni}(\mathrm{CN})_{4}\right]^{-2}](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-c5a91864ba7e1e0ed1b5d273d822f5e5_l3.png "Rendered by QuickLaTeX.com")
(b) ![\left[\mathrm{Pd}(\mathrm{CN})_{4}\right]^{2-}](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-ffda616d3dbe7dc8925722e87005924e_l3.png "Rendered by QuickLaTeX.com")
(c) ![\left[\mathrm{PdCl}_{4}\right]^{2-}](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-90cc6a4f4d42dee46e06d6f8ed516b7a_l3.png "Rendered by QuickLaTeX.com")
(d) ![\left[\mathrm{NiCl}_{4}\right]^{2}](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-149ee5c95bd9cfcc4405704fba2e1bab_l3.png "Rendered by QuickLaTeX.com")
(d) all of these