Question

Part A: Describe the dotplot. (4 points)

Part B: What, if any, are the outliers in these data? Show your work. (3 points)

Part C: What is the best measure of center for these data? Explain your reasoning. (3 points)

a. Part A: A dotplot with data points centered around 6. Part B: No outliers. Part C: Median is the best measure of center.
b. Part A: A dotplot with data points centered around 6. Part B: There are outliers at 4 and 8. Part C: Mean is the best measure of center.
c. Part A: A dotplot with data points centered around 6. Part B: Outliers at 4 and 8. Part C: Mode is the best measure of center.
d. Part A: A dotplot with data points centered around 6. Part B: No outliers. Part C: Mean is the best measure of center.

Answer 1

A dotplot is a graphical representation of data. No outliers in the data. The median is the best measure of center for skewed data.

Step-by-step explanation:

Part A: A dotplot is a graphical representation of data where each data point is represented by a dot above a number line. It provides a visual representation of the distribution of the data and shows the frequency at which each value occurs.

Part B: To identify outliers in the data, we can calculate the IQR (interquartile range) and use the 1.5(IQR) rule. Any data points that are less than Q1 - 1.5(IQR) or greater than Q3 + 1.5(IQR) are considered outliers. In this case, there are no outliers since all data points fall within the range.

Part C: The best measure of center for these data is the median. The median is the middle value when the data is arranged in ascending order. It is less affected by extreme values or outliers, making it a more reliable measure of center for skewed data.