Question

IQR 2 3 3 4 4 4 4 5 5 6 7

Answer 1

Answer:

By IQR , i hope you meant inter quartile range

Steps:

Step 1: Put the numbers in order.

            $2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7$

Step 2: Find the median.

               $2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7$

Step 3: Place parentheses around the numbers above and below the median. (it makes Q1 and Q3 easier to spot.)

             $(2, 3, 3, 4, 4,) 4, (4, 5, 5, 6, 7)$

Step 4: Find Q1 and Q3

Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.

            $(2, 3, 3, 4, 4,) 4, (4, 5, 5, 6, 7)\\\\Q_{1} = 3 \ and \ Q_{3}= 5$

Step 5: Subtract Q1 from Q3 to find the interquartile range.    

               $IQR =Q_{3}-Q_{1} =5-3=2$