A biology aptitude test of 50 students was recorded as follows:
Marks50−6060−7070−8080−9090−100No. of students4814195
Draw a histogram from the above data using a graph paper and find the mode value.
A biology aptitude test of 50 students was recorded as follows:
Marks50−6060−7070−8080−9090−100No. of students4814195
Draw a histogram from the above data using a graph paper and find the mode value.
The correct option is A 83(approx)
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:
i) 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.
ii) 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.
iii) The x-value of the point H is the mode. Thus, mode of the given data is approximately 83.
83(approx)
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:
i) 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.
ii) 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.
iii) The x-value of the point H is the mode. Thus, mode of the given data is approximately 83.
