Question

A lumber yard has scrap wood for sale. One employee recorded the measurements for the lengths of 50 different wood boards. The median length was recorded as 47.78 inches and the IQR was recorded as 14.54 inches. Someone discovers the measuring tape used started at 5 inches instead of 0. This means that each piece of wood is actually 5 inches shorter than the value recorded by the employee. What is the updated IQR

Answer 1

Answer:

The updated IQR is 14.54.

Step-by-step explanation:

The interquartile range is given by the difference between the 75th percentile(value that is greater than 75% of the measures) and the 25th percentile.

This means that each piece of wood is actually 5 inches shorter than the value recorded by the employee.

This means that the length of each wood is less than 5. However, the difference between the 75th percentile and the 25th percentile will stay the same, since both were subtracted by 5.

The updated IQR is 14.54.