Question

the data from a survey are given in the table below:

\

$$\begin{tabular}{|c|c|c|} \\hline & soccer & basketball \\\\ \\hline age (10 - 15) & 18 & 14 \\\\ \\hline age (16 - 20) & 22 & 19 \\\\ \\hline \\end{tabular}$$

the table shows the preferred sport of a group of individuals based on age group.
what is the value of \\(b_{12} + b_{22}\\)?

33
18

Explanation:

Represent the table as a matrix

$$ B =
LATEXBLOCK0
$$

Identify the required matrix elements

$$
LATEXBLOCK1
$$

Calculate the sum

$$ b_{12} + b_{22} = 14 + 19 = 33 $$

Answer:

• (A) 33 (Correct answer)
• (B) 18