Deciles for Ungrouped Data

Front

What is a decile?

Back

A decile is a statistical measure that divides a dataset into ten equal parts, with nine score points separating these parts.

Front

How is the fifth decile (D5) defined in a dataset?

Back

The fifth decile (D5) is the median of the dataset, meaning it is the value that separates the higher half from the lower half.

Front

What does the 8th decile represent in a distribution?

Back

The 8th decile represents the value below which 80% of the data falls.

Front

How do you calculate the position of a decile in a dataset?

Back

The position of the k-th decile can be calculated using the formula: Dk = k(n + 1) / 10, where n is the number of observations.

Front

What is the relationship between deciles and percentiles?

Back

Deciles are specific percentiles; each decile corresponds to a percentile (e.g., the 1st decile is the 10th percentile).

Front

If a student is at the 4th decile, what does this indicate about their performance?

Back

Being at the 4th decile means that the student performed better than 40% of their peers.

Front

What is the difference between quartiles and deciles?

Back

Quartiles divide a dataset into four equal parts, while deciles divide it into ten equal parts.

Front

How many deciles are there in a dataset?

Back

There are nine deciles in a dataset, which create ten equal parts.

Front

What is the value of D5 in the dataset: 18, 19, 21, 21, 18, 20, 17, 22, 23?

Back

The value of D5 is 20.

Front

What does it mean if a student is in the upper quartile?

Back

If a student is in the upper quartile, they performed better than 75% of their peers.