Question

What is the minimum height possible of the tallest student?

A.170
B.175
C.180
D.165

Answer 1

Hint: This question is of statistics. By statistics we mean the collection and interpretation of data. Statistics also involve the organisation of the data in a simpler way. In our problem height of the students and number of students are represented on a graph. We will need to convert this data into the continuous data frequency form so that study of this data becomes easier. We will write the height in the class interval form and then we will write the respective number of students in that class interval. In statistics we can call the number of students as the frequency. Then we will choose the class interval with maximum height of the students.

Complete step-by-step answer:
This question is of statistics. By statistics we mean the collection and interpretation of data. Statistics also involve the organisation of the data in a simpler way. In our problem height of the students and number of students are represented on a graph. We will need to convert this data into the continuous data frequency form so that study of this data becomes easier.
In order to solve this question, we will convert the data given in the graphical form into the continuous data frequency in a tabular form.

Height in cm	Number of students
150-155	5
155-160	1
160-165	5
165-170	5
170-175	9
175-180	5

 From the table, we can see that the tallest students are in the class interval of range 175-180. In this interval the minimum height of the tallest student is $ 175\;{\rm{cm}} $ and the maximum height of the tallest student is \[180\;{\rm{cm}}\].

Hence we can say that the correct answer is option B, that is, the minimum height possible of the tallest student is \[175\;{\rm{cm}}\].

Note: The most important thing in this question is the interpretation of the data from the graph. We will have to read the information given in the questions in the graphical form and then we will interpret the desired information from the graph. The tabular form makes it easier to read the data in the continuous data frequency.