Table of Contents

## How do you measure quartiles?

How to Calculate Quartiles

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

**How are quartiles divided?**

A quartile divides data into three points—a lower quartile, median, and upper quartile—to form four groups of the dataset. 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.

**How do you measure Q1 and Q3?**

Q1 is the median (the middle) of the lower half of the data, and Q3 is the median (the middle) of the upper half of the data. (3, 5, 7, 8, 9), | (11, 15, 16, 20, 21). Q1 = 7 and Q3 = 16.

### How quartiles are used for measuring dispersion?

Quartiles tell us about the spread of a data set by breaking the data set into quarters, just like the median breaks it in half. This means that when we calculate the quartiles, we take the sum of the two scores around each quartile and then half them (hence Q1= (45 + 45) ÷ 2 = 45) .

**How do you find the 3 quartiles?**

The third Quartile of the 75th Percentile (Q3) is given as: Third Quartile(Q3)=(3(n+1)/4)th Term also known as the upper quartile. The interquartile range is calculated as: Upper Quartile – Lower Quartile.

**How do you find 3 quartiles?**

Quartile 1 (Q1) = (4+4)/2 = 4. Quartile 2 (Q2) = (10+11)/2 = 10.5. Quartile 3 (Q3) = (14+16)/2 = 15.

## How do you find quartiles in statistics?

The formula for quartiles is given by:

- Lower Quartile (Q1) = (N+1) * 1 / 4.
- Middle Quartile (Q2) = (N+1) * 2 / 4.
- Upper Quartile (Q3 )= (N+1) * 3 / 4.
- Interquartile Range = Q3 – Q1.

**How do you find Q1 Q2 and Q3 in a data set?**

There are four different formulas to find quartiles:

- Formula for Lower quartile (Q1) = N + 1 multiplied by (1) divided by (4)
- Formula for Middle quartile (Q2) = N + 1 multiplied by (2) divided by (4)
- Formula for Upper quartile (Q3) = N + 1 multiplied by (3) divided by (4)

**Which of the following are used to measure dispersion?**

Range, interquartile range, and standard deviation are the three commonly used measures of dispersion.

### Which among the following is not a commonly used measure of dispersion?

Absolute measures include Range, quartile deviation, mean deviation, and standard deviation. Relative measures include coefficients of range, quartile deviation, variation, and mean deviation. Hence, Quartile is not the measure of dispersion.

**How do you find Q3 in statistics?**

Q3 is the middle value in the second half of the data set. Again, since the second half of the data set has an even number of observations, the middle value is the average of the two middle values; that is, Q3 = (6 + 7)/2 or Q3 = 6.5. The interquartile range is Q3 minus Q1, so IQR = 6.5 – 3.5 = 3.

**How are quartiles used to divide a set of numbers?**

The quartiles formula is used to divide a given set of numbers into quarters. There are three quartiles formed, dividing the given data into four quarters. We are arranging the data in ascending order.

## How are median and mean quartiles used in statistics?

In the median, we can measure the distribution with the help of lesser and higher quartile. Apart from mean and median, there are other measures in statistics, which can divide the data into specific equal parts. A median divides a series into two equal parts. We can partition values of a data set mainly into three different ways:

**How are quartiles used to calculate the interquartile range?**

Quartiles are used to calculate the interquartile range, which is a measure of variability around the median. The interquartile range is simply calculated as the difference between the first and third quartile: Q3–Q1. In effect, it is the range of the middle half of the data that shows how spread out the data is.

**How are quartiles and percentiles similar to each other?**

A similar measurement is the quartile, which we will also discuss. Both percentiles and quartiles are statistical measures of position; that is, they do not measure a central tendency or a spread (dispersion), but instead measure location in a data set.