Comparing Box Plots

What does a higher median indicate about a data set?

• A higher median indicates that the central tendency of the data is higher, meaning that half of the values are above this point.

• A higher median suggests that the data set has more outliers than usual.

• A higher median means that the data set is skewed to the left.

• A higher median indicates that the data set has a larger range of values.

What is a box plot?

• A type of chart that displays the frequency of data points in intervals.

• A graphical representation of data that shows the distribution through five summary statistics: minimum, first quartile, median, third quartile, and maximum.

• A diagram that illustrates the relationship between two variables.

• A method for calculating the average of a data set.

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What is the significance of the whiskers in a box plot?

• They represent the mean of the data set.

• They extend from the quartiles to the smallest and largest values within 1.5 times the IQR, indicating the spread of the data.

• They show the outliers in the data set.

• They connect the median to the quartiles.

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How can you tell which group has a greater range from box plots?

• The group with the shorter box or whiskers has a greater range.

• The group with the longer box or whiskers has a greater range.

• The group with the median line closer to the top has a greater range.

• The group with more outliers has a greater range.

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What is the purpose of comparing box plots?

• To analyze and interpret differences in distributions, medians, ranges, and quartiles between different data sets.

• To create visual representations of data without any statistical analysis.

• To determine the mean of different data sets.

• To find the mode of the data in a single data set.

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What does the median represent in a data set?

• The average value of the data set.

• The value that occurs most frequently in the data set.

• The middle value when the data set is ordered from least to greatest.

• The highest value in the data set.

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What is an outlier in a box plot?

• A data point that lies within the interquartile range.

• A data point that is the median of the dataset.

• A data point that lies significantly outside the range of the other data points, often represented as a dot or asterisk on the plot.

• A data point that represents the average of the dataset.

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What does the interquartile range (IQR) represent?

• The IQR is the difference between the maximum and minimum values in a dataset.

• The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and represents the middle 50% of the data.

• The IQR is the average of all the values in a dataset.

• The IQR is the range of the top 25% of the data.

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What does it mean if a box plot is skewed to the right?

• The data points are evenly distributed around the median.

• The majority of the data points are concentrated on the left side, with a few larger values stretching the tail to the right.

• The box plot is symmetrical with no skewness.

• The data points are concentrated on the right side, with a few smaller values stretching the tail to the left.

What is the difference between mean and median?

• The mean is the average of all data points, while the median is the middle value when the data is ordered.

• The mean is the middle value when the data is ordered, while the median is the average of all data points.

• The mean is always greater than the median in a data set.

• The mean and median are always equal in a data set.

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