Question

select the correct answer.

which stem and leaf plot represents the given data set?

57, 28, 15, 20, 21, 13, 36,
42, 14, 52, 15, 29, 39, 13, 57

w.
1 | 3, 4, 5
2 | 0, 1, 8, 9
3 | 6, 9
4 | 2
5 | 2, 7

x.
1 | 3, 3, 4, 5, 5
2 | 0, 1, 8, 9
3 | 6, 9
4 | 2
5 | 2, 7, 7

y.
1 | 3, 3, 5, 5, 5
2 | 0, 1, 8, 9
3 | 6, 9
4 | 2
5 | 2, 2, 7

z.
1 | 3, 3, 4, 5, 5
2 | 1, 8, 9
3 | 6, 9
4 | 2
5 | 2, 7, 7

• w
• x
• y
• z

Explanation:

🆕 New Concept Discovered: Stem-and-Leaf Plots
Organizing data by splitting numbers into stems and leaves.

Step 1: Sort the data set

We list the given numbers in ascending order to easily group them by their tens digits (stems) and ones digits (leaves):

Given data:
\(57, 28, 15, 20, 21, 13, 36, 42, 14, 52, 15, 29, 39, 13, 57\)

Sorted data:

• 10s: \(13, 13, 14, 15, 15\)
• 20s: \(20, 21, 28, 29\)
• 30s: \(36, 39\)
• 40s: \(42\)
• 50s: \(52, 57, 57\)

Step 2: Match with the options

Now we write down the stems and leaves:

• Stem 1 (tens place) has leaves: 3, 3, 4, 5, 5
• Stem 2 has leaves: 0, 1, 8, 9
• Stem 3 has leaves: 6, 9
• Stem 4 has leaves: 2
• Stem 5 has leaves: 2, 7, 7

Comparing this with the given choices:

• W is missing duplicate values (like the second \(13\), \(15\), and \(57\)).
• X matches our list perfectly:
• Stem 1: \(3, 3, 4, 5, 5\)
• Stem 2: \(0, 1, 8, 9\)
• Stem 3: \(6, 9\)
• Stem 4: \(2\)
• Stem 5: \(2, 7, 7\)
• Y has incorrect leaves for stem 1 and stem 5.
• Z is missing the \(0\) leaf in stem 2.

Answer:

X