Question

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

Answer 1

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`