Data & Statistics Review Questions

Front

What is the interquartile range?

Back

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

Front

How do you find the median of a data set?

Back

To find the median, order the numbers from least to greatest and identify the middle number. If there is an even number of observations, the median is the average of the two middle numbers.

Front

What does a box plot represent?

Back

A box plot visually displays the distribution of a data set, showing the minimum, first quartile (Q1), median, third quartile (Q3), and maximum values.

Front

What is a histogram?

Back

A histogram is a graphical representation of the distribution of numerical data, where the data is divided into bins or intervals, and the height of each bar represents the frequency of data points in that interval.

Front

What is the mode of a data set?

Back

The mode is the value that appears most frequently in a data set. A data set may have one mode, more than one mode, or no mode at all.

Front

What is the range of a data set?

Back

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

Front

What does it mean if data is symmetric?

Back

Data is symmetric if the left and right sides of the distribution are mirror images of each other, indicating that the mean, median, and mode are all equal.

Front

What does it mean if data is asymmetric?

Back

Data is asymmetric if one tail of the distribution is longer or fatter than the other, indicating that the mean, median, and mode are not equal.

Front

How do you calculate the mean of a data set?

Back

To calculate the mean, add all the numbers in the data set and divide by the total number of values.

Front

What is a quartile?

Back

A quartile is a type of quantile that divides a data set into four equal parts, with Q1 being the first quartile (25th percentile), Q2 the median (50th percentile), and Q3 the third quartile (75th percentile).