jee-advanced 2023 Q15

jee-advanced · India · paper1 3 marks Measures of Location and Spread
Consider the given data with frequency distribution
$x _ { i }$38111054
$f _ { i }$523244

Match each entry in List-I to the correct entries in List-II.
List-I
(P) The mean of the above data is
(Q) The median of the above data is
(R) The mean deviation about the mean of the above data is
(S) The mean deviation about the median of the above data is
List-II
(1) 2.5
(2) 5
(3) 6
(4) 2.7
(5) 2.4
The correct option is:
(A) $( P ) \rightarrow ( 3 )$ $( Q ) \rightarrow ( 2 )$ $( R ) \rightarrow ( 4 )$ $( S ) \rightarrow ( 5 )$
(B) $( P ) \rightarrow ( 3 )$ $( Q ) \rightarrow ( 2 )$ $( R ) \rightarrow ( 1 )$ $( S ) \rightarrow ( 5 )$
(C) $( P ) \rightarrow ( 2 )$ $( Q ) \rightarrow ( 3 )$ $( R ) \rightarrow ( 4 )$ $( S ) \rightarrow ( 1 )$
(D) $( P ) \rightarrow ( 3 )$ $( Q ) \rightarrow ( 3 )$ $( R ) \rightarrow ( 5 )$ $( S ) \rightarrow ( 5 )$
Consider the given data with frequency distribution

\begin{center}
\begin{tabular}{ c c c c c c c }
$x _ { i }$ & 3 & 8 & 11 & 10 & 5 & 4 \\
$f _ { i }$ & 5 & 2 & 3 & 2 & 4 & 4 \\
\end{tabular}
\end{center}

Match each entry in List-I to the correct entries in List-II.

\textbf{List-I}

(P) The mean of the above data is

(Q) The median of the above data is

(R) The mean deviation about the mean of the above data is

(S) The mean deviation about the median of the above data is

\textbf{List-II}

(1) 2.5

(2) 5

(3) 6

(4) 2.7

(5) 2.4

The correct option is:

(A) $( P ) \rightarrow ( 3 )$ $( Q ) \rightarrow ( 2 )$ $( R ) \rightarrow ( 4 )$ $( S ) \rightarrow ( 5 )$

(B) $( P ) \rightarrow ( 3 )$ $( Q ) \rightarrow ( 2 )$ $( R ) \rightarrow ( 1 )$ $( S ) \rightarrow ( 5 )$

(C) $( P ) \rightarrow ( 2 )$ $( Q ) \rightarrow ( 3 )$ $( R ) \rightarrow ( 4 )$ $( S ) \rightarrow ( 1 )$

(D) $( P ) \rightarrow ( 3 )$ $( Q ) \rightarrow ( 3 )$ $( R ) \rightarrow ( 5 )$ $( S ) \rightarrow ( 5 )$