Answer :
Answer:
IQR = 4
Step-by-step explanation:
The interquartile range is the difference between the upper quartile and the lower quartile.
The first step is to find the median of the data set.
The median is the middle value of the data arranged in ascending order.
Arranging the data in ascending order
1 , 3 , 3 , 5 , 6 , 6 , 7 , 7 , 7 , 8 , 9
↑ median is 6
The upper quartile is the middle value to the right of the median
7 , 7 , 7 , 8 , 9
↑ upper quartile is 7
The lower quartile is the middle value to the left of the median
1 , 3 , 3 , 5 , 6
↑ lower quartile is 3
Thus
Interquartile range = 7 - 3 = 4
so the IQR = 4
The interquartile range is the difference between the upper quartile and the lower quartile.
What is interquartile range?
In descriptive statistics, the interquartile range is a measure of statistical dispersion, that is the spread of the data. The IQR can also be called the midspread, middle 50%, fourth spread, or H‑spread. Its miles are described as the difference between the 75th and 25th percentiles of the statistics.
interquartile range tells you the spread of the middle half of your distribution. Quartiles segment any distribution it truly is ordered from low to high into 4 equal parts. The interquartile range (IQR) includes the second and third quartiles or the middle half of your data set.
Learn more about IQR here
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