Part A: The mean of the data is approximately 5.08.
Part B: The median of the provided data is 4.
Part C: The mode is 4, as it appears the most number of times.
Part D: The distribution of the data is moderately right-skewed.
The line plot below shows the number of pets owned by 25 people who were randomly surveyed in a particular town. We need to find the mean, median, mode, and describe the distribution of the data.
Part A: Mean
To find the mean, we need to sum all the data points and then divide by the total number of data points.
Mean = (Sum of all data points) / (Total number of data points)
The line plot is not provided, so we cannot calculate the exact mean. However, if we assume the data points based on the line plot, we can calculate the mean using the provided data. Let's assume the data points are: 0, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10.
Sum of all data points = 127
Total number of data points = 25
Mean = 127 / 25 = 5.08
So, the mean of the data is approximately 5.08.
Part B: Median
To find the median, we need to arrange the data points in ascending order and then find the middle value. If there are two middle values, the median is the mean of those two values.
The median of the provided data is 4.
Part C: Mode
The mode is the data point that appears most frequently. From the provided data, the mode is 4, as it appears the most number of times.
Part D: Distribution
Based on the mean, median, and mode, we can say that the data is moderately right-skewed. The mean is slightly greater than the median, and the mode is less than the median, indicating a right-skewed distribution.
In summary, the mean of the data is approximately 5.08, the median is 4, and the mode is 4. The distribution of the data is moderately right-skewed.