For the scores in the following table,what is the value of ?X²? $$\begin{array} { c c }
\ X & \mathrm { f } \
\hline 4 & 1 \
3 & 2 \
2 & 1 \
1 & 3
\end{array}$$
A)30
B)41
C)65
D)225

Question

For the scores in the following table,what is the value of ?X²? $$\begin{array} { c c } 
\ X   & \mathrm { f } \
\hline 4 & 1 \
3 & 2 \
2 & 1 \
1 & 3
\end{array}$$
A)30
B)41
C)65
D)225

Quizplus · Accepted Answer

The value of $X^2$ is calculated by squaring each score and then multiplying by its frequency, followed by summing these products. For the given table:- For $X = 4$, $X^2 = 4^2 = 16$, and with $f = 1$, the product is $16 \times 1 = 16$.- For $X = 3$, $X^2 = 3^2 = 9$, and with $f = 2$, the product is $9 \times 2 = 18$.- For $X = 2$, $X^2 = 2^2 = 4$, and with $f = 1$, the product is $4 \times 1 = 4$.- For $X = 1$, $X^2 = 1^2 = 1$, and with $f = 3$, the product is $1 \times 3 = 3$.Adding these products together: $16 + 18 + 4 + 3 = 41$.

For the Scores in the Following Table,what Is the Value Xf41322113\begin{array} { c c } \ X & \mathrm { f } \\\hline 4 & 1 \\3 & 2 \\2 & 1 \\1 & 3\end{array} X4321​f1213​​

For the Scores in the Following Table,what Is the Value $\begin{array} { c c } \ X & \mathrm { f } \\\hline 4 & 1 \\3 & 2 \\2 & 1 \\1 & 3\end{array}$