jee-main 2024 Q69

jee-main · India · session2_09apr_shift2 Measures of Location and Spread
If the variance of the frequency distribution
$x$$c$$2c$$3c$$4c$$5c$$6c$
$f$211111

is 160, then the value of $c \in N$ is
(1) 7
(2) 8
(3) 5
(4) 6
If the variance of the frequency distribution

\begin{center}
\begin{tabular}{ | c | c | c | c | c | c | c | }
\hline
$x$ & $c$ & $2c$ & $3c$ & $4c$ & $5c$ & $6c$ \\
\hline
$f$ & 2 & 1 & 1 & 1 & 1 & 1 \\
\hline
\end{tabular}
\end{center}

is 160, then the value of $c \in N$ is\\
(1) 7\\
(2) 8\\
(3) 5\\
(4) 6