Math Problem Statement

The following data set is given:

69 66 63 57 65 65 56 63 60 59 67 56 60 67 57 63 Construct a dot plot

Solution

To construct a dot plot for the given data set, follow these steps:

  1. List the data values:

    • 69, 66, 63, 57, 65
    • 65, 56, 63, 60, 59
    • 67, 56, 60, 67, 57
    • 63 (only one number in this row)
  2. Sort the data values: When you combine all the values from the rows, you get the following list:

    • 69, 66, 63, 57, 65, 65, 56, 63, 60, 59, 67, 56, 60, 67, 57, 63

    Let's sort them in ascending order:

    • 56, 56, 57, 57, 59, 60, 60, 63, 63, 63, 65, 65, 66, 67, 67, 69
  3. Count the frequency of each value:

    • 56: 2
    • 57: 2
    • 59: 1
    • 60: 2
    • 63: 3
    • 65: 2
    • 66: 1
    • 67: 2
    • 69: 1
  4. Draw the dot plot: A dot plot places each number on a horizontal axis and stacks a dot for each occurrence of that number.

    56: ●●
    57: ●●
    59: ●
    60: ●●
    63: ●●●
    65: ●●
    66: ●
    67: ●●
    69: ●
    

Each dot represents a data point, and the number of dots above each value corresponds to the frequency of that value in the data set.


Would you like a more detailed explanation, or do you have any questions about this process?

Here are 5 related questions for practice:

  1. How would you construct a stem-and-leaf plot for this same data?
  2. What is the mode of this data set?
  3. How do you find the median of the given data?
  4. How would the dot plot change if the data set included decimals?
  5. Can a dot plot be used for continuous data?

Tip: In a dot plot, data values that occur more frequently will have more dots stacked above them, making it easy to visually spot patterns or the mode.

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Visualization
Dot Plot

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8