Quartiles & IQR - v2

Front

What is a quartile?

Back

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

Tags

CCSS.6.SP.B.5C

Front

How do you find the median of a dataset?

Back

To find the median, first sort the data in ascending order. If the number of observations is odd, the median is the middle number. If even, it is the average of the two middle numbers.

Tags

CCSS.6.SP.B.5C

Front

What is the upper quartile (Q3)?

Back

The upper quartile (Q3) is the median of the upper half of a dataset, representing the 75th percentile.

Tags

CCSS.6.SP.B.5C

Front

What is the lower quartile (Q1)?

Back

The lower quartile (Q1) is the median of the lower half of a dataset, representing the 25th percentile.

Tags

CCSS.6.SP.B.5C

Front

What is the Interquartile Range (IQR)?

Back

The Interquartile Range (IQR) is the difference between the upper quartile (Q3) and the lower quartile (Q1), calculated as IQR = Q3 - Q1.

Tags

CCSS.6.SP.B.5C

Front

How do you calculate Q1 in a dataset?

Back

To calculate Q1, first find the median of the lower half of the dataset (excluding the overall median if the number of data points is odd).

Tags

CCSS.6.SP.B.5C

Front

How do you calculate Q3 in a dataset?

Back

To calculate Q3, first find the median of the upper half of the dataset (excluding the overall median if the number of data points is odd).

Tags

CCSS.6.SP.B.5C

Front

What does it mean if the IQR is large?

Back

A large IQR indicates a wide spread of the middle 50% of the data, suggesting greater variability.

Tags

CCSS.6.SP.B.5C

Front

What does it mean if the IQR is small?

Back

A small IQR indicates that the middle 50% of the data points are close together, suggesting less variability.

Tags

CCSS.6.SP.B.5C

Front

What is the significance of quartiles in data analysis?

Back

Quartiles help to understand the distribution of data, identify outliers, and summarize the data set.

Tags

CCSS.6.SP.B.5C