# What are 1st and 3rd quartiles?

## What are 1st and 3rd quartiles?

The lower quartile, or first quartile (Q1), is the value under which 25% of data points are found when they are arranged in increasing order. The upper quartile, or third quartile (Q3), is the value under which 75% of data points are found when arranged in increasing order.

### What are the 3 quartiles?

Quartiles divide the entire set into four equal parts. So, there are three quartiles, first, second and third represented by Q1, Q2 and Q3, respectively….We can partition values of a data set mainly into three different ways:

• Quartiles.
• Deciles.
• Percentiles.

What is Q1 Q2 Q3 in statistics?

The values that divide each part are called the first, second, and third quartiles; and they are denoted by Q1, Q2, and Q3, respectively. Q1 is the “middle” value in the first half of the rank-ordered data set. Q2 is the median value in the set. Q3 is the “middle” value in the second half of the rank-ordered data set.

What is 2nd quartile?

The second quartile (q2), or 50th percentile or median, is located such that half (50 percent) of the data lie below q2 and the other half (50 percent) of the data lie above q2.

## How do you read quartiles?

First quartile: the lowest 25% of numbers. Second quartile: between 0% and 50% (up to the median) Third quartile: 0% to 75% Fourth quartile: the highest 25% of numbers.

### Is there a 4th quartile?

Fourth quartile: the highest 25% of numbers.

What is Q1 and Q2 in statistics?

In statistics, a quartile, a type of quantile, is three points that divide sorted data set into four equal groups (by count of numbers), each representing a fourth of the distributed sampled population. There are three quartiles: the first quartile (Q1), the second quartile (Q2), and the third quartile (Q3).

How do you find quartile 3?

How to Calculate Quartiles

1. Order your data set from lowest to highest values.
2. Find the median. This is the second quartile Q2.
3. At Q2 split the ordered data set into two halves.
4. The lower quartile Q1 is the median of the lower half of the data.
5. The upper quartile Q3 is the median of the upper half of the data.

## How to find the first and third quartile?

First Quartile (Q1) = ( (n+1)/4) th Term

• Second Quartile (Q2) = ( (n+1)/2) th Term
• Third Quartile (Q3) = (3 (n+1)/4) th Term
• ### How to calculate 1st quartile?

First Quartile(Q1) = ((n + 1)/4) t h Term ; Second Quartile(Q2) = ((n + 1)/2) t h Term; Third Quartile(Q3) = (3(n + 1)/4) t h Term; 1 st quartile is also known as the lower quartile. 2 nd quartile is the same as the median dividing data into 2 equal parts. 3 rd quartile is also called the upper quartile.

What does 1st and 3rd quartile mean?

The lower quartile, or first quartile, is denoted as Q1 and is the middle number that falls between the smallest value of the dataset and the median. The second quartile, Q2, is also the median. The upper or third quartile, denoted as Q3, is the central point that lies between the median and the highest number of the distribution.

How do you calculate the third quartile?

Quartile 1 (Q1) = (4+4)/2 = 4.

• Quartile 2 (Q2) = (10+11)/2 = 10.5.
• Quartile 3 (Q3) = (14+16)/2 = 15.