Statistics Review (10)

Front

What is the Interquartile Range (IQR)?

Back

The Interquartile Range (IQR) is a measure of statistical dispersion, defined as the difference between the third quartile (Q3) and the first quartile (Q1) in a data set. It represents the range of the middle 50% of the data.

Front

How do you calculate the median of a data set?

Back

To find the median, arrange the data in ascending order and identify the middle value. If there is an even number of observations, the median is the average of the two middle values.

Front

What is standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

Front

What is the difference between mean and median?

Back

The mean is the average of a data set, calculated by adding all values and dividing by the number of values. The median is the middle value when the data is ordered. The mean can be affected by outliers, while the median is more robust.

Front

What does a box plot represent?

Back

A box plot (or whisker plot) visually summarizes the distribution of a data set by displaying its minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

Front

What is the purpose of calculating the interquartile range?

Back

The interquartile range (IQR) is used to measure the spread of the middle 50% of data points, helping to identify outliers and understand the variability in the data.

Front

How does adding an outlier affect the mean and standard deviation?

Back

Adding an outlier typically increases the mean and standard deviation, as the outlier skews the average and increases the overall variability of the data.

Front

What is a data set?

Back

A data set is a collection of related data points or values, often organized in a table or list, used for analysis.

Front

What is the range of a data set?

Back

The range is the difference between the maximum and minimum values in a data set, providing a measure of how spread out the values are.

Front

What is a quartile?

Back

A quartile is a type of quantile that divides a ranked data set into four equal parts. The first quartile (Q1) is the median of the lower half, the second quartile (Q2) is the median, and the third quartile (Q3) is the median of the upper half.