Question

If the frequencies of the observations are doubled, then the mode will:

• A. Increase
• B. Decrease
• C. Not change
• D. Can't be determined

Answer 1

The correct option is C Not change

e.g. $\begin{array}{cccccc}Class& 2& 3& 4& 7& 8\\ f& 4& 2& 9& 5& 3\end{array}$
Here, Mode = 4
If frequencies are doubled
$\begin{array}{cccccc}Class& 2& 3& 4& 7& 8\\ f& 8& 4& 18& 10& 6\end{array}$
Here, observation '4' has maximum frequency, i.e., 18.
$\therefore$ Mode = 4.