The interquartile range for the data set is 4.5
Step-by-step explanation:
The Inter-quartile rang (IQR) describes the middle of values when ordered from lowest to highest.
To find the interquartile range (IQR)
- First find the median (middle value) of the data Q2
- Find the lower and upper halves of the data (before and after Q2)
- Find the median of the lower data Q1 and the median of the upper data Q3
- The IQR is the difference between Q3 and Q1
∵ The set of data is 3, 4, 3, 3, 5, 5, 9, 6, 9
- At first arrange the data from lowest to highest
∴ The set of data is 3, 3, 3, 4, 5, 5, 6, 9, 9
- The median Q2 is the middle one
∵ The set has 9 data
∴ The median is the 5th one
- The 5th number is 5
∴ Q2 = 5
- Lower data is the first four and the upper data is the last four
∴ The lower data are 3, 3, 3, 4
∴ The upper data are 5, 6, 9, 9
Q1 is the median of the lower data
∵ There are two numbers in the middle of the lower data (3 , 3)
∴ Q1 = [tex]\frac{3+3}{2}=\frac{6}{2}=3[/tex]
Q3 is the median of the upper data
∵ There are two numbers in the middle of the upper data (6 , 9)
∴ Q3 = [tex]\frac{6+9}{2}=\frac{15}{2}=7.5[/tex]
The interquartile range is the difference between Q1 and Q3
∵ IQR = Q3 - Q1
∴ IQR = 7.5 - 3 = 4.5
The interquartile range for the data set is 4.5
Learn more:
You can learn more about the central data in brainly.com/question/4625002
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