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:
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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)
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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
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Count the frequency of each value:
- 56: 2
- 57: 2
- 59: 1
- 60: 2
- 63: 3
- 65: 2
- 66: 1
- 67: 2
- 69: 1
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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:
- How would you construct a stem-and-leaf plot for this same data?
- What is the mode of this data set?
- How do you find the median of the given data?
- How would the dot plot change if the data set included decimals?
- 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
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