statistics review

Front

What is variability in statistics?

Back

Variability refers to how spread out or dispersed the values in a data set are. It indicates the degree of variation from the mean.

Front

How do you find the upper quartile (Q3) of a data set?

Back

To find Q3, first arrange the data in ascending order, then find the median of the upper half of the data set.

Front

What effect does removing an outlier have on the mean of a data set?

Back

Removing an outlier can increase or decrease the mean, depending on whether the outlier is above or below the mean.

Front

What is the median of a data set?

Back

The median is the middle value when the data set is ordered from least to greatest. If there is an even number of observations, it is the average of the two middle values.

Front

How do you calculate the standard deviation of a data set?

Back

Standard deviation is calculated by finding the square root of the variance, which is the average of the squared differences from the mean.

Front

What is the difference between mean and median?

Back

The mean is the average of all values, while the median is the middle value that separates the higher half from the lower half of the data set.

Front

What does it mean if two data sets have the same median?

Back

If two data sets have the same median, it means that the central tendency of both data sets is the same, but their distributions may differ.

Front

What is an outlier in a data set?

Back

An outlier is a value that is significantly higher or lower than the other values in a data set, which can skew the results.

Front

How do you determine the range of a data set?

Back

The range is determined by subtracting the smallest value from the largest value in the data set.

Front

What is a quartile in statistics?

Back

A quartile is a type of quantile that divides a data set into four equal parts, with Q1 being the first quartile, Q2 the median, and Q3 the third quartile.