The interquartile range IQR is a useful measure of data spread utilizing relative position. Recall that the IQR is the difference between the third and first quartiles.IQR = Q3 − Q1We previously found Q1 = 6 from Q3 = 9.5. Use these values to calculate the IQR.IQR = Q3 − Q1 = − 6 =
Question
The interquartile range IQR is a useful measure of data spread utilizing relative position. Recall that the IQR is the difference between the third and first quartiles.IQR = Q3 − Q1We previously found Q1 = 6 from Q3 = 9.5. Use these values to calculate the IQR.IQR = Q3 − Q1 = − 6 =
Solution
The IQR is calculated as Q3 - Q1. Given that Q3 is 9.5 and Q1 is 6, the calculation would be as follows:
IQR = Q3 - Q1 IQR = 9.5 - 6 IQR = 3.5
So, the interquartile range (IQR) is 3.5.
Similar Questions
The interquartile range (IQR) is defined to be the difference between the two quartile values.TrueFalse
How is the interquartile range (IQR) computed?Q3 + Q1Q3 - Q1(Q3 - Q1) / 2Q2 - Q1
In a box plot, what does the interquartile range (IQR) represent?Question 5Answera.Range of the middle 50% of the datab.Sum of the first and third quartilesc.Difference between the maximum and minimum valuesd.Average of all data points
The Interquartile Range (IQR), a fundamental measure in Descriptive Statistics, is best described as: A. The difference between the highest and lowest values in a dataset. B. The variance between the mean and the median of a dataset. C. The gap between the upper (Q3) and lower quartile (Q1) of a dataset. D. The summation of the dataset's upper (Q3) and lower quartile (Q1).
Suppose, we have 9 observations such that 37, 34, 24, 41, 113, 99, 119, 107, 114. Calculate the Inter Quartile Range (IQR) of the data.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.