Measures of Center and Spread

What is a data set?

• A data set is a collection of related values or observations.

• A data set is a type of software used for data analysis.

• A data set is a graphical representation of data.

• A data set is a method for collecting data.

What is the third quartile (Q3)?

• The average of the entire data set.

• The median of the lower half of a data set.

• The median of the upper half of a data set.

• The highest value in the data set.

What is a box plot?

• A type of bar graph used to display categorical data.

• A graphical representation of a data set that shows the median, quartiles, and any outliers.

• A line graph that represents data trends over time.

• A pie chart that illustrates the proportions of a whole.

How can you tell if a data set is skewed?

• A data set is skewed if the mean and median are equal.

• A data set is skewed if the mean is less than the median.

• A data set is skewed if the mean is greater than the median.

• A data set is skewed if the mean and median are not equal; if the mean is greater than the median, it is positively skewed, and if the mean is less than the median, it is negatively skewed.

What is the significance of the median in a data set?

• The median provides a measure of central tendency that is not affected by outliers, giving a better representation of the typical value in skewed distributions.

• The median is the average of all data points in a set, providing a simple measure of central tendency.

• The median is always the highest value in a data set, indicating the maximum performance.

• The median is the difference between the highest and lowest values in a data set, showing the range.

What does it mean if a data set has a mode of 94?

• It means that more students received a score of 94 than any other score.

• It indicates that 94 is the average score of all students.

• It shows that 94 is the highest score achieved by any student.

• It means that 94 is the most frequently occurring score in the data set.

How do you find the median of a data set?

• Arrange the data in descending order and identify the middle value.

• Arrange the data in ascending order and identify the middle value. If there is an even number of values, the median is the average of the two middle values.

• Add all the values together and divide by the number of values.

• Identify the highest and lowest values and take the average.

What is the second quartile (Q2)?

• The average of the data set

• The median of the entire data set

• The highest value in the data set

• The lowest value in the data set

What is an outlier in a data set?

• A value that is significantly higher or lower than the other values in a data set.

• A value that is exactly the same as the mean of the data set.

• A value that is the median of the data set.

• A value that is the most frequently occurring in the data set.

What is the first quartile (Q1)?

• The first quartile (Q1) is the median of the lower half of a data set.

• The first quartile (Q1) is the average of the highest and lowest values in a data set.

• The first quartile (Q1) is the value that separates the highest 25% of the data from the rest.

• The first quartile (Q1) is the median of the entire data set.