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Question

The heights (in cm) of students of a class is tabulated below.
HeightNumber of students15015441551593160164216516911701742175179218018441851902Total20
Identify the correct option(s).


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

Mathematics

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