The median and interquartile range of the a set of data is shown. Write a set of data consisting of seven values for the pair of measures.

Median:6 Interquartile range:5

You use the definition of median and interquartile range. The def. of a median is the number in the middle of the data set, so the number 6 would be in the middle. Making a box and whisker plot (shown below) with the data set separates the data set into 4 "quartiles" or parts. The interquartile range is the last line in the box (Q3) minus the first line in the box (Q1). So something minus somthing must equal 5.

Data set: 1,2,3,6,8,8,10

It doesn't matter what the other numbers are as long as the median is 6 and the interquartiel range is 6.