Math Problem Statement

Create a dot plot for the given set of data.

1 1 1 2 2 2 2 2 3 4 5 5 6 7 7 7 7 8 8 9 9 9

Solution

A dot plot visually represents the frequency of values in a data set by plotting dots above each value on a number line. Here's how it would look for your dataA dot plot visually represents the frequency of values in a data set by plotting dots above each value on a number line. Here's how it would look for your

Data Summary:

  • Data Set:
    • Values: 1,1,1,2,2,2,2,2,3,4,5,5,6,7,7,7,7,8,8,9,9,91, 1, 1, 2, 2, 2, 2, 2, 3, 4, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9, 9, 9
    • Range: 1 to 9

To create the dot plot, place each number on a number line and stack dots above each value according to how many times each value appears in the data.


1: • • •
2: • • • • •
3: •
4: •
5: • •
6: •
7: • • • •
8: • •
9: • • •

Each dot represents one occurrence of a value in your data set.

Would you like more details or have any questions?

Expanding Questions

  1. How would you interpret this dot plot in terms of data distribution?
  2. Can you calculate the mode of this data set using the dot plot?
  3. What does this dot plot suggest about the most frequent values?
  4. How would you represent this data on a bar chart for comparison?
  5. How might this dot plot differ from a histogram of the same data?

Tip:

Dot plots are most effective for small data sets or when comparing frequencies for each individual data value.

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Math Problem Analysis

Mathematical Concepts

Data Visualization
Dot Plot
Frequency Distribution

Formulas

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Theorems

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Suitable Grade Level

Grades 5-7