  Question

The heights (in cm) of students of a class is tabulated below. HeightNumber of students150−1544155−1593160−1642165−1691170−1742175−1792180−1844185−1902Total20 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  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 40In 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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