Determine the median and quartiles of the following set of data: 1350, 1400, 1250, 1050, 1450, 1150, and 1000.
In order to calculate the median and quartiles of any data set, we firstly need to sort the data in ascending order. In this question, the lowest value is 1000. The next lowest value is 1050. Continuing this pattern, we have the seven numbers listed as shown. The median is the middle value. And as there are seven in this case, this will be the fourth. There are three values above the median and three values below it. The median of the set of data is 1250.
The lower quartile is the center of the lower half. In this case, there are three numbers. The middle one of these is 1050. So the lower quartile of the set of data is 1050. The upper quartile is the center of the upper half. And, once again, there are three numbers larger than the median. The middle of these values is 1400. Therefore, the upper quartile of the set of data is 1400.