Question

find the mode of the following data?
Class intervals 30-39 40-49 50-59 60-69 70-79 80-89 90-99
frequency 2 3 20 31 17 10 4​

Answer 1

Question:-

Find the mode of Following data.

Required Answer:-

Table:-

$\boxed {\begin{array}{|c|c|c|c|c|c|c|c|} \cline {1-8}\sf {class\:intervals (x):-} & 30-39 & 40-49 & 50-59 & 60-69 & 70-79 & 80-89 & 90-99 \\ \cline {1-8}\sf{Frequency(f):-} & 2 & 3 & 20 & 31 & 17 & 10 & 4 \end{array}}$

Here according to frequency table

$31 {\gt}20 {\gt}17 {\gt}10 {\gt}4 {\gt}3 {\gt}2$

Hence

$Mode =M {}_{(d)}=31$

$\therefore$$\sf {Mode\;of\;the\;data=31}$