Answer :
- Identify the outlier: 0.
- Remove the outlier from the data.
- Determine the frequency of each remaining value.
- Create a dot plot with the frequencies: 10 (2), 12 (2), 14 (1), 15 (3), 16 (3), 17 (1), 18 (4), 19 (1), 20 (2).
### Explanation
1. Analyze the data
We are given a set of quiz scores out of 20, and we need to create a dot plot, excluding the outlier. The data is: 16, 15, 16, 14, 12, 18, 18, 19, 20, 18, 17, 18, 20, 15, 16, 15, 0, 12, 10, 10.
2. Identify and remove the outlier
First, we identify the outlier. An outlier is a data point that is significantly different from other data points. In this case, 0 is an outlier. We remove it from the dataset.
3. Find the minimum and maximum values
The data without the outlier is: 16, 15, 16, 14, 12, 18, 18, 19, 20, 18, 17, 18, 20, 15, 16, 15, 12, 10, 10. We need to find the minimum and maximum values in this data set. The minimum value is 10, and the maximum value is 20.
4. Determine the frequency of each value
Now, we determine the frequency of each value from 10 to 20 in the data set:
- 10: 2
- 11: 0
- 12: 2
- 13: 0
- 14: 1
- 15: 3
- 16: 3
- 17: 1
- 18: 4
- 19: 1
- 20: 2
5. Create the dot plot
Finally, we create a dot plot. The x-axis will range from 10 to 20. Above each number, we place a number of dots equal to its frequency.
### Examples
Dot plots are useful for visualizing the distribution of data and identifying patterns or outliers. For example, a teacher can use a dot plot to visualize the distribution of test scores in a class and identify students who may need extra help.
- Remove the outlier from the data.
- Determine the frequency of each remaining value.
- Create a dot plot with the frequencies: 10 (2), 12 (2), 14 (1), 15 (3), 16 (3), 17 (1), 18 (4), 19 (1), 20 (2).
### Explanation
1. Analyze the data
We are given a set of quiz scores out of 20, and we need to create a dot plot, excluding the outlier. The data is: 16, 15, 16, 14, 12, 18, 18, 19, 20, 18, 17, 18, 20, 15, 16, 15, 0, 12, 10, 10.
2. Identify and remove the outlier
First, we identify the outlier. An outlier is a data point that is significantly different from other data points. In this case, 0 is an outlier. We remove it from the dataset.
3. Find the minimum and maximum values
The data without the outlier is: 16, 15, 16, 14, 12, 18, 18, 19, 20, 18, 17, 18, 20, 15, 16, 15, 12, 10, 10. We need to find the minimum and maximum values in this data set. The minimum value is 10, and the maximum value is 20.
4. Determine the frequency of each value
Now, we determine the frequency of each value from 10 to 20 in the data set:
- 10: 2
- 11: 0
- 12: 2
- 13: 0
- 14: 1
- 15: 3
- 16: 3
- 17: 1
- 18: 4
- 19: 1
- 20: 2
5. Create the dot plot
Finally, we create a dot plot. The x-axis will range from 10 to 20. Above each number, we place a number of dots equal to its frequency.
### Examples
Dot plots are useful for visualizing the distribution of data and identifying patterns or outliers. For example, a teacher can use a dot plot to visualize the distribution of test scores in a class and identify students who may need extra help.
