ANSWER ALL QUESTIONS IN THIS PAPER.
Seclect the correct LETTER for each question. Eg. 26. F
Using the information provided below, answer questions \( 1-9 \).
INFORMATION
During the first quarter of 2023, fitty (50) Bachelor of Commerce in Informatics graduates were recruited into the graduate internship programme of a prominent JSE-listed Technology company, anonymised as ABC Ltd. Each graduate intern rotated through each of the 5 departments of ABC Ltd and sat for five separate departmental assessments at the end of each of the rotations. The HR department captured the final consolidated marks of the 50 graduates for potential employment offers at ABC.
The sample data below represents the final marks (in \%) obtained by 20 randomly selected graduates who participated in the intemship at ABC Ltd.
\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|}
\hline 56 & 78 & 66 & 82 & 52 & 72 & 62 & 64 & 59 & 79 \\
\hline 74 & 61 & 53 & 64 & 45 & 68 & 77 & 84 & 96 & 88 \\
\hline
\end{tabular}
QUESTION 1
(4 Marks)
Based on the raw data above, determine the measures of central tendency of the sample data.
1. The mean, median, and mode are \( 69 \%, 67 \% \), and \( 64 \% \), respectively.
B. The mean, median, and mode are \( 68 \%, 66 \% \), and \( 64 \% \), respectively.
c. The mean, median, and mode are \( 64 \%, 65 \% \), and \( 69 \% \), respectively.
2. The mean, median, and mode are \( 64 \%, 66 \% \), and \( 68 \% \), respectively.
QUESTION 2
(4 Marks)
The group frequency distribution below represents the sample data of the 20 graduate interns.
\begin{tabular}{|c|c|}
\hline Marks (\%) & Number of Interns \\
\hline \( 40<50 \) & 1 \\
\hline \( 50<60 \) & \( \mathbf{W} \) \\
\hline \( 60<70 \) & \( \mathbf{X} \) \\
\hline \( 70<80 \) & \( \mathrm{Y} \) \\
\hline \( 80<90 \) & \( \mathrm{Z} \) \\
\hline \( 90<100 \) & 1 \\
\hline
\end{tabular}
What values are represented by \( W, X, Y \), and \( Z \) ?
2. \( W=3, X=6, Y=5 \), and \( Z=4 \)
B. \( W=4, X=6, Y=5 \), and \( Z=3 \)
c. \( W=2, X=7, Y=6 \), and \( Z=3 \)
D. \( W=3, X=5, Y=6 \), and \( Z=4 \)