How is the interquartile range (IQR) computed?Q3 + Q1Q3 - Q1(Q3 - Q1) / 2Q2 - Q1
Question
How is the interquartile range (IQR) computed?Q3 + Q1Q3 - Q1(Q3 - Q1) / 2Q2 - Q1
Solution
The interquartile range (IQR) is computed using the following steps:
-
Arrange the data in increasing order.
-
Calculate the first quartile (Q1), which is the median of the lower half of the data.
-
Calculate the third quartile (Q3), which is the median of the upper half of the data.
-
Subtract Q1 from Q3 to find the IQR.
So, the correct formula is Q3 - Q1.
Similar Questions
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 =
The interquartile range (IQR) is defined to be the difference between the two quartile values.TrueFalse
How is the interquartile range calculated?A.Maximum minus minimumB.Quartile 3 (Q3) minus quartile 1 (Q1)C.Median minus quartile 1 (Q1)D.Quartile 3 (Q3) minus medianSUBMITarrow_backPREVIOUS
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).
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
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.