Question

The two consecutive class marks of a distribution are 52 and 57. Find the class limits of the two intervals.

Answer 1

As, the two consecutive class marks of the distribution are 52 and 57.

So, the class size or class width of the distribution = 57 $-$ 52 = 5

$$\begin{gathered} \mathrm{Now}, \\ \mathrm{The}\mathrm{lower}\mathrm{class}\mathrm{limit}\mathrm{of}\mathrm{the}\mathrm{first}\mathrm{interval}=52-\frac{5}{2}=52-2.5=49.5; \\ \mathrm{the}\mathrm{upper}\mathrm{class}\mathrm{limit}\mathrm{of}\mathrm{the}\mathrm{first}\mathrm{interval}=52+\frac{5}{2}=52+2.5=54.5; \\ \mathrm{the}\mathrm{lower}\mathrm{class}\mathrm{limit}\mathrm{of}\mathrm{the}\mathrm{second}\mathrm{interval}=57-\frac{5}{2}=57-2.5=54.5\mathrm{and} \\ \mathrm{the}\mathrm{upper}\mathrm{class}\mathrm{limit}\mathrm{of}\mathrm{the}\mathrm{second}\mathrm{interval}=57+\frac{5}{2}=57+2.5=59.5 \end{gathered}$$

So, the class limits of the two intervals are: 49.5-54.5 and 54.5-59.5