Understanding Distributions and Outliers

What is an outlier in a data distribution?

• A data point that is very close to the mean

• A data point that is the same as the median

• A data point that is far from other data points

• A data point that is the same as the mode

How can outliers affect a data set?

• They can skew the data and affect the mean

• They have no effect on the data set

• They make the data set smaller

• They make the data set more symmetrical

What is the formula to determine if a data point is an outlier using IQR?

• Q1 - 2 * IQR and Q3 + 2 * IQR

• Q1 + 2 * IQR and Q3 - 2 * IQR

• Q1 - 1.5 * IQR and Q3 + 1.5 * IQR

• Q1 + 1.5 * IQR and Q3 - 1.5 * IQR

What is the Interquartile Range (IQR)?

• The difference between the highest and lowest data points

• The difference between the first quartile and the median

• The difference between the third quartile and the first quartile

• The sum of the first and third quartiles

How can you identify a positively skewed distribution?

• The distribution has no outliers

• The distribution is symmetrical

• The tail is longer on the right side

• The tail is longer on the left side

What does a large spread in a data distribution indicate?

• The data points are clustered around the mean

• The data points are spread out over a wide range

• The data points are very close to each other

• The data points are all the same

Which measure is used to describe the center of a distribution in a box plot?

• Mean

• Mode

• Range

• Median

What does it mean if a distribution is centered around lower numbers?

• The data points are mostly outliers

• The data points are mostly low values

• The data points are mostly high values

• The data points are evenly distributed

What are the key aspects to look for when describing distributions?

• Quartiles, percentiles, deciles, and centiles

• Mean, mode, median, and range

• Skewness, kurtosis, variance, and standard deviation

• Shape, outliers, spread, and center

How can you determine if a distribution has a negative skew?

• The tail is longer on the right side

• The tail is longer on the left side

• The distribution is symmetrical

• The distribution has no outliers