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Cuemath
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Quartile Formula - What is Quartile Formula?
Example 2: What will be the upper quartile for the following set of numbers? 26, 19, 5, 7, 6, 9, 16, 12, 18, 2, 1. ... The formula for the upper quartile formula is Q3 = ยพ(n + 1)th Term.

the three points that divide the data set into four equal groups in descriptive statistics

Quartile - Wikipedia
{\displaystyle q(0.25)}
In statistics, quartiles are a type of quantiles which divide the number of data points into four parts, or quarters, of more-or-less equal size. The data must be ordered from smallest to โ€ฆ Wikipedia
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Wikipedia
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Quartile - Wikipedia
October 30, 2025 - If there are (4n+3) data points, then the lower quartile is 75% of the (n+1)th data value plus 25% of the (n+2)th data value; the upper quartile is 25% of the (3n+2)th data point plus 75% of the (3n+3)th data point.
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How do you find the upper quartile?
The upper quartile can found either by using the median method or the upper quartile formula. The median method is finding the median, then finding the upper quartile as the middle of the last half of the data set. The upper quartile formula uses the amount of terms in the data set, adding 1, multiplying by 3 (upper/third quartile), then dividing by four (quartiles); this gives the term number.
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Upper Quartile | Definition. Formula & Examples - Lesson | Study.com
What is the upper quartile value?
The upper quartile value is the amount of the data point that is the middle number between the median and upper extreme or maximum. It is found by determining the number of data points from the median to the upper extreme (including those points) then dividing that amount in two to find the term number and then counting to find the value of the term.
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Upper Quartile | Definition. Formula & Examples - Lesson | Study.com
How do you write upper and lower quartiles?
The lower quartile is the number in the middle between the lower extreme or minimum and the median. It is written as a single data point using the lower quartile symbol. The upper quartile is the number in the middle between the median and the upper extreme or maximum. It is written as a single data point using the upper quartile symbol.
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Upper Quartile | Definition. Formula & Examples - Lesson | Study.com
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Study.com
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Upper Quartile | Definition. Formula & Examples - Lesson | Study.com
October 30, 2015 - For example, if the result is 7.5, then the average of the 7th and 8th terms in the data set is the upper quartile. If the result from the formula is a decimal that does not end with .5, subtract 0.25 from the result until you get a whole number or a decimal ending in .5.
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Statistics Canada
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4.5.1 Calculating the range and interquartile range
Then you need to split the lower half of the data in two again to find the lower quartile. The lower quartile will be the point of rank (5 + 1) รท 2 = 3. The result is Q1 = 15. The second half must also be split in two to find the value of the upper quartile.
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Wikihow
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How to Calculate the Upper Quartile: 13 Steps (with Pictures)
May 6, 2024 - To calculate the upper quartile, first, arrange the numbers of the data set in ascending order. Then, determine how many numbers are in the set. The formula for calculating the upper quartile is Q3 = ยพ (n +1).
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CalculatorSoup
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Quartile Calculator | Interquartile Range Calculator
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.
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Investopedia
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Understanding Quartiles: Definitions, Calculations, and Examples
August 3, 2025 - Quartiles further break down the data set into quarters, which include a lower quartile (25% mark), median (50% mark), and upper quartile (75% mark). Calculating quartiles can be done manually using formulas or more efficiently in spreadsheets using functions like QUARTILE, allowing for quick ...
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Statistics How To
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What are Quartiles? - Statistics How To
September 6, 2024 - Work the formula. There are 11 numbers in the set, so: Q3 = ยพ(n + 1)th Term. Q3 = ยพ(11 + 1)th Term. Q3 = ยพ(12)th Term. Q3 = 9th Term. In this set of numbers (1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27), the upper quartile (18) is the 9th term, ...
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Scribbr
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Quartiles & Quantiles | Calculation, Definition & Interpretation
June 21, 2023 - The third quartile (Q3, or the upper quartile) is the 75th percentile, meaning that 75% of the data falls below the third quartile.
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Third Space Learning
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Quartile - GCSE Maths - Steps, Examples & Worksheet
August 11, 2023 - Drawing a horizontal line from the cumulative frequency axis at the value 60, across to the curve and then down to the x -axis, the upper quartile is approximately 42m (see diagram below). Forgetting to order the data set before finding the median or quartiles ยท The list must be in order before you start finding the key values! Stating the quartile value as the number given by the formula, rather than counting and finding that value in the data
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MathsisFun
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Quartiles
Sometimes a "cut" is between two numbers ... the Quartile is the average of the two numbers.
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Indeed
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How To Calculate the Upper Quartile of a Dataset in 3 Steps | Indeed.com
When you calculate the upper quartile, you find the value that separates the upper 25% of the data from the lower 75% of the data. The word quartile refers to the practice of separating a dataset into four sections.
Published ย  June 27, 2024
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Find the Lower Quartile and Upper Quartile - YouTube
US32406: Use mathematics and statistics to meet the numeracy demands of a range of situations (Numeracy)Numeracy Co-Requisite New Zealandhttps://ncea.educati...
Published ย  May 5, 2024
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TutorChase
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What is the formula for calculating the upper quartile? | TutorChase
The upper quartile is calculated by finding the median of the upper half of a data set. To calculate the upper quartile (also known as the third quartile, Q3), you first need to arrange your data set in ascending order.
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ScienceDirect
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Upper Quartile - an overview | ScienceDirect Topics
Subtract this rank from (n + 1). This gives the rank of the upper quartile. For example, with n = 13, you have (13 + 1) โˆ’ 4 = 10. With n = 24, you have (1 + 24) โˆ’ 6.5 = 18.5, which tells you to average the data values with ranks 18 and 19. The quartiles themselves may then be found based ...
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Testbook
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Quartile Formula Explained with Examples - Testbook.com
Understand the Quartile Formula and how it divides a set of observations into four equal parts. Learn how to calculate the lower, median and upper quartiles with a detailed example.