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Question

The heights (in cm) of students of a class is tabulated below.
HeightNumber of students15015441551593160164216516911701742175179218018441851892Total20
Identify the correct option (s).


  1. The class distribution is discontinuous

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

  3. The data can not be changed into continuous class interval form

  4. The range of data is 40


Solution

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 cm -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 = 189-150 = 39.

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