Math Problem Statement

Construct a stem-and-leaf plot for the following data, in which the leaf represents the hundredths digit. Do not separate the answers with a comma. If there are no leaves, select the "None" button 4.92 4.85 5.11 4.98 5.14 4.97 4.81 5.18 5.22 4.89 5.05 5.25 5.09 4.92 5.19 5.01 4.96 5.27 5.13 4.94 5 4.93 5.23 5.16 5.07 4.8 4.9 5.0 5.1 5.2

Solution

To construct a stem-and-leaf plot where the leaf represents the hundredths digit, we will first organize the data by separating each number into a stem (the units and tenths digits) and a leaf (the hundredths digit). Here's how the data is sorted and grouped:

Data List:

4.92, 4.85, 5.11, 4.98, 5.14, 4.97, 4.81, 5.18, 5.22, 4.89, 5.05, 5.25, 5.09, 4.92, 5.19, 5.01, 4.96, 5.27, 5.13, 4.94, 5, 4.93, 5.23, 5.16, 5.07, 4.8, 4.9, 5.0, 5.1, 5.2

Sorted Data by Stems (units and tenths):

Stem: 4.8

  • Leaves: 0, 1, 5, 9, 9

Stem: 4.9

  • Leaves: 0, 2, 2, 3, 4, 6, 7, 8

Stem: 5.0

  • Leaves: 0, 1, 5, 7, 9

Stem: 5.1

  • Leaves: 0, 1, 3, 4, 6, 8, 9

Stem: 5.2

  • Leaves: 2, 3, 5, 7

Stem-and-Leaf Plot:

4.8 | 0 1 5 9 9
4.9 | 0 2 2 3 4 6 7 8
5.0 | 0 1 5 7 9
5.1 | 0 1 3 4 6 8 9
5.2 | 2 3 5 7

This stem-and-leaf plot effectively displays the data with the stem representing the units and tenths place and the leaves representing the hundredths place.

Do you need any further explanation or have any questions?

Here are some related questions:

  1. How do you interpret a stem-and-leaf plot?
  2. What are the advantages of using a stem-and-leaf plot?
  3. How can outliers be identified using a stem-and-leaf plot?
  4. How does a stem-and-leaf plot compare to a histogram?
  5. How can you construct a back-to-back stem-and-leaf plot for comparing two data sets?

Tip: When creating a stem-and-leaf plot, always ensure that the data is sorted to correctly reflect the distribution and pattern.

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Visualization

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12