Quartile Formulas Of Single Data In Statistics

Quartile Formulas of Single Data in Statistics

Quartile divide the data into four equal parts from data which has been sorted 25% each.

Quartile Formulas of Single Data in Statistics

Q_i = location of data : (i(n + 1))/4

Information :

Q_i = value of kuratil - ith

n = amount of data

Example :

Please determine the 1st quartile value of 1, 6, 9, 3, 5, 8, 10 !!!

Answer :

sort the data from the smallest data to the largest data :

1st location = 1

2nd location = 3

3rd location = 5

4th location = 6

5th location = 8

6th location = 9

7th location = 10

n = 7

then the quartile is :

Q_i = location of data : (i(n + 1))/4

Q₁ = location of data : (1(7 + 1))/4

Q₁ = location of data : (1(8))/4

Q₁ = location of data : 8/4

Q₁ = location of data : 2

Q₁ = location of data : 2nd

Q₁ = 2nd location

Q₁ = 3

So the 1st quartile of data 1, 6, 9, 3, 5, 8, 10 is 3.

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