Quartiles

Front

What is a quartile?

Back

A quartile is a type of quantile that divides a data set into four equal parts, each containing 25% of the data.

Front

What is the lower quartile (Q1)?

Back

The lower quartile (Q1) is the median of the lower half of a data set, which separates the lowest 25% of the data from the rest.

Front

What is the upper quartile (Q3)?

Back

The upper quartile (Q3) is the median of the upper half of a data set, which separates the highest 25% of the data from the rest.

Front

How do you find the median of a data set?

Back

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

Front

What is the formula to calculate the position of Q1?

Back

The position of Q1 can be calculated using the formula: (n + 1) / 4, where n is the number of data points.

Front

What is the formula to calculate the position of Q3?

Back

The position of Q3 can be calculated using the formula: 3(n + 1) / 4, where n is the number of data points.

Front

Given the data set 12, 9, 4, 6, 5, 8, 9, 4, 10, 2, what is Q1?

Back

Q1 is 4.

Front

Given the data set 1, 3, 4, 5, 6, 8, 11, 13, 17, what is Q3?

Back

Q3 is 12.

Front

What is the median of the data set 33, 25, 42, 25, 31, 37, 46, 29, 38?

Back

The median is 31.

Front

What does it mean if a data set is skewed?

Back

A data set is skewed if it is not symmetrical, meaning one tail is longer or fatter than the other.