Table of Contents

- 1 What percentage of data should be greater than Q3?
- 2 How much of the data is between Q1 and Q3?
- 3 What is 1st quartile and 3rd quartile?
- 4 Is the third quartile is 42 and the interquartile range is 30 then the value of first quartile is?
- 5 How do you find the 1st and 3rd quartile of a data set?
- 6 What are the first and third quartiles in math?

## What percentage of data should be greater than Q3?

Descriptive Statistics The quartiles break up a data set into four parts, with roughly 25 percent of the data being less than the first quartile, 25 percent being between the first and second quartile, 25 percent being between the second and third quartile, and 25 percent being greater than the third quartile.

### How much of the data is between Q1 and Q3?

34Since Q1 and Q3 capture the middle 50% of the data and the median splits the data in the middle, 25% of the data fall between Q1 and the median, and another 25% falls between the median and Q3.

**What percent of data is above the third quartile?**

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 percent of the data is below the 3rd quartile in any data set?**

75%

The third quartile (Q3) is the middle value between the median and the highest value (maximum) of the data set. It is known as the upper or 75th empirical quartile, as 75% of the data lies below this point.

## What is 1st quartile and 3rd quartile?

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.

### Is the third quartile is 42 and the interquartile range is 30 then the value of first quartile is?

Question 4 : If the third quartile is 42 and the interquartile range is 30 then, the value of first quartile is 10 22 32 12 Lower quartile , upper quartile and interquartile range are `Q_(1) , Q_(3)` and `Q` .

**What is the difference between the upper quartile and the lower quartile?**

**What is the lower quartile equal to?**

The first quartile (or lower quartile), Q1, is defined as the value that has an f-value equal to 0.25. This is the same thing as the twenty-fifth percentile. The third quartile (or upper quartile), Q3, has an f-value equal to 0.75. The interquartile range, IQR, is defined as Q3-Q1.

## How do you find the 1st and 3rd quartile of a data set?

The data is firstly arranged into ascending order and is then divided into quartiles. Median divides a given data into two equal parts while quartiles divide it into four parts….Quartile Formula

- 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.

### What are the first and third quartiles in math?

Math. The first and third quartiles are descriptive statistics that are measurements of position in a data set. Similar to how the median denotes the midway point of a data set, the first quartile marks the quarter or 25% point. Approximately 25% of the data values are less than or equal to the first quartile.

**What are the minimum, median, and maximum quartiles?**

The minimum, first quartile, median, third quartile and maximum are a set of five values called the five number summary. An effective way to display these five numbers is called a boxplot or box and whisker graph.

**What does a small interquartile range mean?**

A small interquartile range indicates data that is clumped about the median. A larger interquartile range shows that the data is more spread out. A more detailed picture of the data can be obtained by knowing the highest value, called the maximum value, and the lowest value, called the minimum value.