Question: What are the values of the lower quartile and the upper quartile of a data set, if its least value is 171, middle quartile is 229 and the greatest value is 249?
A ) 171, 249 B ) 171, 229 C ) 229, 249 D ) Cannot be determined
Steps to derive
1 The lower quartile of a data set is the median of the lower half of the data set and the upper quartile is the median of the upper half of the data set.
2 To find the lower quartile or the upper quartile, the whole data set needs to be known.
3 By knowing only the least value, middle quartile and the greatest value, we cannot determine the values of the lower quartile and the upper quartile.
