Question

consider the following data set: 69 41 43 54 50 83 52 78 73 41 52 86 52 69 65 63 87 42 below is a partially completed stem - and - leaf diagram for this data set: stem - and - leaf diagram with stem 4, a middle stem with a symbol, stem 6, a middle stem with a symbol and number 38, and a bottom stem with a symbol determine the correct values for the missing entries, and fill them in. if no value is needed for a given entry, then enter x.

Explanation:

Step1: Analyze the stem "4"

The numbers with tens digit 4 are 41, 43, 41, 42. So the leaves for stem 4 are 1, 3, 1, 2 (sorted: 1, 1, 2, 3).

Step2: Analyze the missing stem (tens digit 5)

The numbers with tens digit 5 are 54, 50, 52, 52, 52. So the stem is 5, and leaves are 0, 2, 2, 2, 4 (sorted).

Step3: Analyze stem "6"

The numbers with tens digit 6 are 69, 65, 63, 69. So leaves are 3, 5, 9, 9 (sorted).

Step4: Analyze the missing stem (tens digit 7)

The numbers with tens digit 7 are 78, 73. So stem is 7, leaves are 3, 8 (sorted).

Step5: Analyze the missing stem (tens digit 8)

The numbers with tens digit 8 are 83, 86, 87. So stem is 8, leaves are 3, 6, 7 (sorted).

Answer:

• Stem 4: leaves 1, 1, 2, 3
• Stem (missing, tens=5): stem 5, leaves 0, 2, 2, 2, 4
• Stem 6: leaves 3, 5, 9, 9
• Stem (missing, tens=7): stem 7, leaves 3, 8
• Stem (missing, tens=8): stem 8, leaves 3, 6, 7

Filling the diagram:

• Stem 4: $\boxed{1, 1, 2, 3}$
• Stem (above 4, below 6): Stem 5, Leaves $\boxed{0, 2, 2, 2, 4}$
• Stem 6: $\boxed{3, 5, 9, 9}$
• Stem (below 6, above 8): Stem 7, Leaves $\boxed{3, 8}$
• Stem (below 7): Stem 8, Leaves $\boxed{3, 6, 7}$