Question 1

How to Calculate Interquartile Range?

Accepted Answer

Arrange the data from smallest to largest, then find Q1 (25th percentile) and Q3 (75th percentile). Subtract Q1 from Q3 using IQR = Q3 − Q1.

Question 2

What Is the Interquartile Range of the Data Set 7, 3, 10, 8, 4, 1, 8, 6, 5, 8?

Accepted Answer

Arrange the values as 1, 3, 4, 5, 6, 7, 8, 8, 8, 10. Using the inclusive percentile method, Q1 = 4 and Q3 = 8, so the IQR is 8 − 4 = 4.

Question 3

How Do You Find Q1 and Q3?

Accepted Answer

First, arrange the data in ascending order and divide it into lower and upper halves around the median. Q1 is the 25th percentile of the data, while Q3 is the 75th percentile.

Question 4

What Is the Interquartile Range of 2, 4, 6, 8, 10?

Accepted Answer

The data is already ordered, with 6 as the median. Using the exclusive method, Q1 = 3 and Q3 = 9, giving an interquartile range of 9 − 3 = 6.

Question 5

Is Interquartile Range Always Q3 − Q1?

Accepted Answer

Yes. By definition, the interquartile range is calculated by subtracting the first quartile from the third quartile: IQR = Q3 − Q1.

Question 6

How Do You Find the 1st Quartile?

Accepted Answer

Arrange the values from lowest to highest and identify the 25th percentile. Q1 represents the point below which 25% of the data falls.

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