How Do You Find the First Lower Quartile?

James H. Sterling
James H. Sterling
• • 7 min read

The First Quartile, Denoted by Q1, Is the Median of the Lower Half of the Data Set. This Means That About 25% of the Numbers in the Data Set Lie Below Q1 and...

How Do You Find the First Lower Quartile?
The first quartile, denoted by Q1 , is the median of the lower half of the data set. This means that about 25% of the numbers in the data set lie below Q1 and about 75% lie above Q1 . The third quartile, denoted by Q3 , is the median of the upper half of the data set.

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Correspondingly, how do I find the lower quartile?

Method 2

  1. Use the median to divide the ordered data set into two halves. If there are an odd number of data points in the original ordered data set, include the median (the central value in the ordered list) in both halves.
  2. The lower quartile value is the median of the lower half of the data.

Also, how do you find the lower quartile in Excel? Excel QUARTILE Function

  1. Summary. The Excel QUARTILE function returns the quartile (each of four equal groups) for a given set of data.
  2. Get the quartile in a data set.
  3. Value for requested quartile.
  4. =QUARTILE (array, quart)
  5. array - A reference containing data to analyze.
  6. Use the QUARTILE function to get the quartile for a given set of data.

Just so, how do you calculate 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. Step 5: Subtract Q1 from Q3.

What quartile is the mean?

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 data set.

Related Question Answers

How are quartiles calculated?

Quartiles are the values that divide a list of numbers into quarters: Put the list of numbers in order. Then cut the list into four equal parts.

In this case all the quartiles are between numbers:

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

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What does lower quartile mean?

One of the three points that divide a range of data or population into four equal parts. The first quartile (also called the lower quartile) is the number below which lies the 25 percent of the bottom data. The second quartile (the median) divides the range in the middle and has 50 percent of the data below it.
James H. Sterling

James H. Sterling

Environmental Science & Climate Journalist
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James Sterling reports on renewable energy developments, climate policy, ecological conservation, and green tech innovations around the globe.