Introduction to learn calculating inter quartile range:
Inter quartile Range is also called as H-Spread.
Inter quartile Range = (Q3 - Q1)
If Q1 be the first or lower quartile and Q3 be the third or upper quartile, then (Q3 - Q1) is called the inter quartile range.
For a simple series the data are to be arranged in ascending order of magnitude. Then
Q1=the value of the (N+1)/4th term,
Q3=the value of the 3(N+1)/4th term.
For a grouped frequency distribution, cumulative frequencies (less than type) are to be calculated first. Then
Q1=the value that corresponds to cumulative frequency N/4
Q3=the value that corresponds to cumulative frequency 3N/4
Example Problem to learn calculating inter quartile range:
Find the inter quartile range of following set of numbers
12, 4, 5, 1, 42, 9, 23
Solution for learn calculating inter quartile range:
The following are the steps to find the inter quartile range of a set of numbers.
Step 1:- Arranging of numbers
The initial step is to modify the given data in order, from smallest to biggest.
1, 4, 5, 9, 12, 23, 42
Step 2:- Calculating 1st quartile Q1.
The next step is to find the lower median (1st quartile Q!).
Here the number of terms (N) is 7.
The formula used to calculate Q1 is (N+1) / 4
Q1 = (7+!) / 4.
Q1 = 8/4 = 2nd term.
So second term in the series is 4.
1st quartile Q1 is 4.
Step 3:- Calculating 3rd quartile Q3.
Now find the upper median (The 3rd quartile Q3).
Here the number of terms (n) is 7.
The formula used to calculate Q3 is 3(N+1) / 4.
Q3 = 3 (7 + 1) / 4 = 3 (8) / 4
= 24 / 4
= 6th term.
So the 6th term in the sequence is 23
The 3rd quartile Q3 is 23.
Step 4:- Calculating inter quartile range.
The formula used to find the inter quartile range is
Inter quartile range = Q3 – Q1.
Q1 the first quartile = 4
Q3 the third quartile = 23
Plug in the Q1 and Q3 values in the standard formula Q3 – Q1.
Inter quartile range = 23 – 4 = 19
learn calculating inter quartile range solution is 19.
Having problem with Definition of Statistics keep reading my upcoming posts, i will try to help you.
Practice Problem for learn calculating inter quartile range:
Find the inter quartile range of following set of numbers
3 , 6, 1 ,2 ,7 , 11 , 04, 33, 61, 29,15
Answer learn calculating inter quartile range: 26
Inter quartile Range is also called as H-Spread.
Inter quartile Range = (Q3 - Q1)
If Q1 be the first or lower quartile and Q3 be the third or upper quartile, then (Q3 - Q1) is called the inter quartile range.
For a simple series the data are to be arranged in ascending order of magnitude. Then
Q1=the value of the (N+1)/4th term,
Q3=the value of the 3(N+1)/4th term.
For a grouped frequency distribution, cumulative frequencies (less than type) are to be calculated first. Then
Q1=the value that corresponds to cumulative frequency N/4
Q3=the value that corresponds to cumulative frequency 3N/4
Example Problem to learn calculating inter quartile range:
Find the inter quartile range of following set of numbers
12, 4, 5, 1, 42, 9, 23
Solution for learn calculating inter quartile range:
The following are the steps to find the inter quartile range of a set of numbers.
Step 1:- Arranging of numbers
The initial step is to modify the given data in order, from smallest to biggest.
1, 4, 5, 9, 12, 23, 42
Step 2:- Calculating 1st quartile Q1.
The next step is to find the lower median (1st quartile Q!).
Here the number of terms (N) is 7.
The formula used to calculate Q1 is (N+1) / 4
Q1 = (7+!) / 4.
Q1 = 8/4 = 2nd term.
So second term in the series is 4.
1st quartile Q1 is 4.
Step 3:- Calculating 3rd quartile Q3.
Now find the upper median (The 3rd quartile Q3).
Here the number of terms (n) is 7.
The formula used to calculate Q3 is 3(N+1) / 4.
Q3 = 3 (7 + 1) / 4 = 3 (8) / 4
= 24 / 4
= 6th term.
So the 6th term in the sequence is 23
The 3rd quartile Q3 is 23.
Step 4:- Calculating inter quartile range.
The formula used to find the inter quartile range is
Inter quartile range = Q3 – Q1.
Q1 the first quartile = 4
Q3 the third quartile = 23
Plug in the Q1 and Q3 values in the standard formula Q3 – Q1.
Inter quartile range = 23 – 4 = 19
learn calculating inter quartile range solution is 19.
Having problem with Definition of Statistics keep reading my upcoming posts, i will try to help you.
Practice Problem for learn calculating inter quartile range:
Find the inter quartile range of following set of numbers
3 , 6, 1 ,2 ,7 , 11 , 04, 33, 61, 29,15
Answer learn calculating inter quartile range: 26
