A Mathematics aptitude test of 50 students was recorded as follows:
|Marks||50 - 60||60 - 70||70 - 80||80 - 90||90 – 100|
|No. of Students||4||8||14||19||5|
Draw a histogram from the above data using a graph paper and locate the mode.
The histogram for the given data can be drawn by taking the marks on the x-axis and the number of students on the y-axis.
To locate the mode from the histogram, we proceed as follows:
1) Find the modal class. Rectangle ABCD is the largest rectangle. It represents the modal class, that is, the mode lies in this rectangle. The modal class is 80 – 90.
2) Draw two lines diagonally from the vertices C and D to the upper corners of the two adjacent rectangles. Let these rectangles intersect at point H.
3) The x-value of the point H is the mode. Thus, mode of the given data is approximately 83.