Question

Draw histogram from the following data. Estimate mode.
Scores
80-90
90-100100-110110-120120-130130-140

No. of Students6
9
16
13
4
2

Answer 1

Hey mate here is your answer ........
MODE =16
This is your answer..&histogram is not draw at phone...
sorry!!!!!!!!
hope this helps you......

Answer 2

Solution: Given data is tabulated as under

$\begin{table}[] \begin{tabular}{|l|l|} \cline{1-2} \begin{tabular}[c]{@{}l@{}}Observation\\ \\ \\ (x)\end{tabular} & \begin{tabular}[c]{@{}l@{}}Frequency\\ ( f)\end{tabular} \\ \cline{1-2} 80-90 & 6 \\ \cline{1-2} 90-100 & 9 \\ \cline{1-2} 100-110 & 16 \\ \cline{1-2} 110-120 & 13 \\ \cline{1-2} 120-130 & 4 \\ \cline{1-2} 130-140 & 2 \\ \cline{1-2} Total & 50 \\ \cline{1-2} \end{tabular} \end{table}$

As there is equal distance between each class so size of rectangles in the histogram remains same.

Mode:

Mode of grouped data is calculated by the formula
$Mode= l+\bigg(\frac{f1-fo}{2f1-fo-f2}\bigg)h$
Highest frequency class is modal class i.e.100-110

$Mode= 100+\bigg(\frac{16-9}{32-9-13}\bigg)10\\\\=100+\bigg(\frac{5}{10}\bigg)10\\\\Mode=105$

2) Mode can be calculated graphically by calculating the class Mark of the highest frequency class

Highest frequency class 100-110

Class Mark = (100+110)/2= 105

Hope it helps you.