Question

The heights (in cm) of students of a class is tabulated below.
$$\begin{array}{cc}\text{Height}& \text{Number of students}\\ 150-154& 4\\ 155-159& 3\\ 160-164& 2\\ 165-169& 1\\ 170-174& 2\\ 175-179& 2\\ 180-184& 4\\ 185-190& 2\\ \text{Total}& 20\end{array}$$
Identify the correct option(s).

• A. The class distribution is discontinuous
• B. Number of students having height in range of 160-174 cm is 5
• C. The data can not be changed into continuous class interval form
• D. The range of data is 40

Answer 1

Answer: (A), (B), (D)

The correct options are
A

The class distribution is discontinuous

B

Number of students having height in range of 160-174 cm is 5

D

The range of data is 40

In the given table, the upper limit of a class does not coincide with the lower limit of the succeeding class,

so the class intervals are not continuous and option A is correct.

Also the number of students in the range of 160-174 cm= 2+1+2=5. Hence, option B is correct.

Also, any data having discontinuous class intervals can be converted into one with continuous class intervals. Hence, C is incorrect.

Range of data = Total width of data = 190 - 150 = 40.