Shapes of Distributions

What is a symmetric distribution?

• A distribution where the left and right sides are mirror images of each other, with the mean, median, and mode being equal.

• A distribution that has a single peak and tails that extend indefinitely in both directions.

• A distribution that is skewed to the left, with a longer tail on the left side.

• A distribution that has multiple peaks and is not uniform.

What does it mean for a distribution to be skewed left?

• A left-skewed distribution has a longer tail on the left side, with most data points concentrated on the right, and the mean is less than the median.

• A left-skewed distribution has a longer tail on the right side, with most data points concentrated on the left, and the mean is greater than the median.

• A left-skewed distribution has equal tails on both sides, with the mean equal to the median.

• A left-skewed distribution has a uniform distribution of data points across the range.

What does it mean for a distribution to be skewed right?

• A right-skewed distribution has a longer tail on the left side.

• Most of the data points are concentrated on the right, and the mean is less than the median.

• A right-skewed distribution has a longer tail on the right side. Most of the data points are concentrated on the left, and the mean is greater than the median.

• The distribution is symmetrical, with equal tails on both sides.

What does it mean if a distribution has outliers?

• Outliers are data points that are significantly higher or lower than the majority of the data, which can affect the mean and skew the distribution.

• Outliers are the average values of the data set that represent the central tendency.

• Outliers are data points that fall within the normal range of the distribution.

• Outliers are data points that are always removed from the data set before analysis.

What is the mean in a distribution?

• The mean is the middle value in a sorted list of numbers.

• The mean is the average of all data points in a distribution, calculated by adding all values and dividing by the number of values.

• The mean is the most frequently occurring value in a dataset.

• The mean is the difference between the highest and lowest values in a distribution.

What is the median in a distribution?

• The average of all values in a data set.

• The middle value in a data set when arranged in ascending order.

• The highest value in a data set.

• The difference between the highest and lowest values in a data set.

What is the interquartile range (IQR)?

• The average of the first and third quartiles.

• The difference between the first quartile (Q1) and the third quartile (Q3) in a data set, representing the middle 50% of the data.

• The range of the entire data set from the minimum to the maximum value.

• The median of the data set.

What is the mode in a distribution?

• The mode is the value that appears most frequently in a data set.

• The mode is the average of all values in a data set.

• The mode is the middle value when the data set is ordered.

• The mode is the value that appears least frequently in a data set.

How can you identify a skewed left distribution visually?

• The bulk of the data points are on the left side, with a tail extending to the right.

• The bulk of the data points are evenly distributed across the center.

• The bulk of the data points are on the right side, with a tail extending to the left.

• The bulk of the data points are on the right side, with a tail extending to the right.

What is a histogram?

• A graphical representation of the distribution of numerical data, showing the frequency of data points within specified ranges.

• A type of bar graph that displays categorical data.

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

• A visual representation of data that uses lines to connect individual data points.