6,6,9,5,8,9,6,7,8,8,6,5,5,6,8,5,7,7,8,6,5,9,10,14,5,8,5,8,10,10,7,7,7,8,6,6,7,5,7,8,8,5,6,6,7,7,7,6,6,9
coefficient of quartile deviation: (Q3-Q1)/(Q3+Q1)
(q3-q1)/2
Interquartile deviation Qd=(q3-q1) / 2
first quartile (Q1) : Total number of term(N)/4 = Nth term third quartile (Q3): 3 x (N)/4th term
Stability factor is defined as the proportion of Q1 to Q3 (Quartile 1/ Quartile 3) and is a measure of the dispersion of the population. A SF of 1 is the most desirable. SF < 0.9 indicates control issues and SF > 0.9 indicates technology issues.
coefficient of quartile deviation: (Q3-Q1)/(Q3+Q1)
coefficient of quartile deviation is = (q3-q1)/(q3+q1)
Q3-q1
(q3-q1)/2
To solve for the quartile deviation, first calculate the first quartile (Q1) and the third quartile (Q3) of your data set. The quartile deviation is then found using the formula: ( \text{Quartile Deviation} = \frac{Q3 - Q1}{2} ). This value represents the spread of the middle 50% of your data, providing a measure of variability.
(q3-q1)/2
Step 1: Find the upper quartile, Q3.Step 2: Find the lower quartile: Q1.Step 3: Calculate IQR = Q3 - Q1.Step 1: Find the upper quartile, Q3.Step 2: Find the lower quartile: Q1.Step 3: Calculate IQR = Q3 - Q1.Step 1: Find the upper quartile, Q3.Step 2: Find the lower quartile: Q1.Step 3: Calculate IQR = Q3 - Q1.Step 1: Find the upper quartile, Q3.Step 2: Find the lower quartile: Q1.Step 3: Calculate IQR = Q3 - Q1.
In a dataset, the interquartile range (IQR), which is the range between the first quartile (Q1) and the third quartile (Q3), contains 50% of the data. This means that 25% of the data lies below Q1, 50% lies between Q1 and Q3, and another 25% lies above Q3. Therefore, the percentage of data that lies between Q1 and Q3 is 50%.
To find the interquartile range (IQR) of a number set, first, arrange the data in ascending order. Next, identify the first quartile (Q1), which is the median of the lower half of the data, and the third quartile (Q3), the median of the upper half. Finally, subtract Q1 from Q3 (IQR = Q3 - Q1) to determine the range of the middle 50% of the data.
Interquartile deviation Qd=(q3-q1) / 2
procedure: step 1: arrange your raw data in increasing order. step 2: find the Q1 is the size of the (n+1)/4th value. step 3: find the Q3 is the size of the 3(n+1)/4th value. Quartile Deviation(QD)= (Q3-Q1)/2 for example: 87 ,64,74,13,19,27,60,51,53,29,47 is the given data step 1: 13,19,27,29,47,51,53,60,64,74,87 step 2: (n+1)/4=3 therefore Q1=27 step 3: 3(n+1)/4=9 therefore Q3=6 implies QD=18.5
IQR stands for Interquartile Range in mathematics. It is a measure of statistical dispersion that represents the range within which the central 50% of a data set lies, specifically between the first quartile (Q1) and the third quartile (Q3). The IQR is calculated by subtracting Q1 from Q3 (IQR = Q3 - Q1) and is often used to identify outliers in a data set.