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

5.16

4.94

4.83

5.1

5.03

4.96

5.15

5.25

4.81

4.91

5.19

5.01

4.98

5.16

5.22

5.04

5.18

4.95

5.12

5.22

4.97

4.82

5.17

5.16

4.94   4.8

4.9

5.0

5.1

5.2

Solution

To create a stem-and-leaf plot with the leaf representing the hundredths digit, let's first sort the data and organize it by the stem (units and tenths digits) and leaves (hundredths digit).

Data List:

5.16, 4.94, 4.83, 5.1, 5.03, 4.96, 5.15, 5.25, 4.81, 4.91, 5.19, 5.01, 4.98, 5.16, 5.22, 5.04, 5.18, 4.95, 5.12, 5.22, 4.97, 4.82, 5.17, 5.16, 4.94, 4.8, 4.9, 5.0, 5.1, 5.2

Sorted Data by Stems (units and tenths):

Stem: 4.8

  • Leaves: 0, 1, 2, 3

Stem: 4.9

  • Leaves: 0, 1, 4, 4, 5, 6, 7, 8

Stem: 5.0

  • Leaves: 0, 1, 3, 4

Stem: 5.1

  • Leaves: 0, 2, 5, 6, 6, 7, 8, 9

Stem: 5.2

  • Leaves: 2, 2, 5

Stem-and-Leaf Plot:

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

This stem-and-leaf plot represents the data with the stem being the units and tenths place, and the leaves being the hundredths place.

Would you like more details or have any questions?

Here are some related questions:

  1. How can a stem-and-leaf plot be used to find the median of a data set?
  2. What are the key differences between a stem-and-leaf plot and a box plot?
  3. How can we adjust the stem-and-leaf plot for larger data sets?
  4. How do you handle decimals when constructing a stem-and-leaf plot?
  5. What does the spread of the leaves tell you about the data?

Tip: Always double-check the placement of leaves to ensure that every data point is accurately represented in the stem-and-leaf plot.

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Analysis
Stem-and-Leaf Plot

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9