(a)
| Company A |
Stem |
Company B |
|
2 |
6
|
|
0
2
5
|
3 |
0
1
5
8
|
|
1
1
2
7
9
|
4 |
1
2
2
7
9
|
|
2
3
|
5 |
2
|
|
4
|
6 |
|
Key: \( 1 \mid 4 \mid 2 \) means \(\$41{,}000 \)(Company A) and \(\$42{,}000\) (Company B).
(b) Ordered salaries (A): 30, 32, 35, 41, 41, 42, 47, 49, 52, 53, 64.
Median \(=\) 6th value \(= \$42{,}000\).
Lower quartile \(Q_1 = \$35{,}000\); upper quartile \(Q_3 = \$52{,}000\).
Interquartile range \( \text{IQR} = Q_3 - Q_1 = \$52{,}000 - \$35{,}000 = \$17{,}000 \).
(c) Sum of given 11 salaries (B): \(\$433{,}000\).
Total for 12 employees: \(38{,}500 \times 12 = \$462{,}000\).
New employee’s salary: \( \$462{,}000 - \$433{,}000 = \$29{,}000 \).