# What is a upper quartile in math?

## What is a upper quartile in math?

The upper quartile is the median of the upper half of a data set. The formula for the upper quartile is given as: For ease of writing, the upper quartile will be noted as Q3, also called the third quartile. This formula does not give the value of Q3, rather the term number that will be Q3.

### What are upper and lower quartiles in math?

The lower quartile is the value of the middle of the first set, where 25% of the values are smaller than Q1 and 75% are larger. This first quartile takes the notation Q1. The upper quartile is the value of the middle of the second set, where 75% of the values are smaller than Q3 and 25% are larger.

What does top quartile mean?

This article has been viewed 86,204 times. Quartiles are numbers used to divide a set of data into four equal parts, or quarters. The upper quartile, or third quartile, is the top 25% of numbers in the data set, or the 75th percentile.

What is quartile example?

Example: 1, 3, 3, 4, 5, 6, 6, 7, 8, 8. And the result is: Quartile 1 (Q1) = 3. Quartile 2 (Q2) = 5.5.

## What is the upper quartile range?

In a set of data, the quartiles are the values that divide the data into four equal parts. It is the difference between the upper quartile and the lower quartile. Interquartile range = Q3−Q1. In the above example, the lower quartile is 52 and the upper quartile is 58 . The interquartile range is 58−52 or 6 .

### What do you mean by quartiles?

The quartile measures the spread of values above and below the mean by dividing the distribution into four groups. A quartile divides data into three points—a lower quartile, median, and upper quartile—to form four groups of the dataset.

What are the 4 quartiles?

First quartile: the lowest 25% of numbers. Second quartile: between 25.1% and 50% (up to the median) Third quartile: 50.1% to 75% (above the median) Fourth quartile: the highest 25% of numbers.

What is the formula of upper quartile?

The formula for the upper quartile formula is Q3 = ¾(n + 1)th Term.

## How do you explain quartiles?

### What are the uses of quartiles?

Returns the quartile of a data set. Quartiles often are used in sales and survey data to divide populations into groups. For example, you can use QUARTILE to find the top 25 percent of incomes in a population.