Question

of the split stem-and-leaf plot for these data.

1. technology salaries: the following table presents the annual salaries for the employees of a small technology firm. round each number to the nearest thousand, and then construct a stem-and-leaf plot.

91,808 118,625 131,092 60,763
36,463 37,187 45,870 50,594
98,302 123,973 182,255 59,186
44,889 164,861 71,082 69,695
28,098 157,110 50,461 98,132
49,742 25,339 24,164 107,878
136,690 129,514 99,254 57,468

1. tennis and golf: following are the ages of the winners of the mens wimbledon tennis championship and the masters golf championship for the years 1969 through 2016.

ages of wimbledon winners
30 26 27 25 27 21 31 20 21 22 23
24 22 29 24 25 17 18 22 22 21 24 22
22 21 22 23 26 25 26 27 28 31 21 21
22 23 24 25 22 27 24 24 30 26 27 28 29
ages of masters winners
29 38 33 32 36 38 35 33 27 42 27
23 31 28 26 32 27 46 28 30 31 32 33
32 35 28 43 38 23 41 33 37 25 26 32
31 29 33 31 28 39 39 26 33 32 35 21 28
a. construct back-to-back split stem-and-leaf plots for these data sets.
b. how do the ages of wimbledon champions differ from the ages of masters champions?

Explanation:

For Problem 20:

Step1: Round salaries to nearest thousand

• 91,808 → 92,000; 118,625 → 119,000; 131,092 → 131,000; 60,763 → 61,000
• 36,463 → 36,000; 37,187 → 37,000; 45,870 → 46,000; 50,594 → 51,000
• 98,302 → 98,000; 123,973 → 124,000; 182,255 → 182,000; 59,186 → 59,000
• 44,889 → 45,000; 164,861 → 165,000; 71,082 → 71,000; 69,695 → 70,000
• 28,098 → 28,000; 157,110 → 157,000; 50,461 → 50,000; 98,132 → 98,000
• 49,742 → 50,000; 25,339 → 25,000; 24,164 → 24,000; 107,878 → 108,000
• 136,690 → 137,000; 129,514 → 130,000; 99,254 → 99,000; 57,468 → 57,000

Step2: Group by stem (ten-thousands place)

Stems = 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 15, 16, 18
Leaves = last two digits of rounded salaries (divided by 1000, so hundreds/ones place of the rounded value's thousands digit)

Step1: Split stems (tens place: 1,2,3,4)

Split each stem into two: lower (0-4) and upper (5-9) leaves

Step2: Assign leaves to stems

For Wimbledon (ages 17-31) and Masters (ages 21-46), map each age to stem/leaf

Compare central tendency, spread, and distribution shape of the two data sets. Wimbledon ages cluster in the 20s with a smaller range, while Masters ages are more spread out with higher values extending into the 40s.

Answer:

Stem	Leaves
3	6, 7
4	5, 6, 9
5	0, 0, 1, 7, 9
6	1
7	0, 1
9	2, 8, 8, 9
10	8
11	9
12	4
13	0, 1, 7
15	7
16	5
18	2

*Key: Stem = ten-thousands place, Leaf = thousands place (e.g., 2 | 4 = $24,000$)

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For Problem 21:

Part a