Question

The heights (in cm) of students of a class is tabulated below.
$\begin{array}{cc}\text{Height}& \text{Number of students}\\ 150-154& 4\\ 155-159& 3\\ 160-164& 2\\ 165-169& 1\\ 170-174& 2\\ 175-179& 2\\ 180-184& 4\\ 185-189& 2\\ Total& 20\end{array}$

i) What type of frequency distribution is this?
ii) Find the umber of students having height in the range of 160-174 cm.

Answer 1

i) 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.Hence this is a discontinuous frequency distribution table.

ii) The number of students whose height is in the range of
160 cm - 174 cm = 2 + 1 + 2 = 5.