For the following set of data, what is the interquartile range?x = { 6, 8, 9, 12, 14, 15, 17 }Exclude the median in any calculations requiring quartiles.1 point761598

To calculate the interquartile range (IQR), we first need to find the lower quartile (Q1) and the upper quartile (Q3).

The given data set is: x = { 6, 8, 9, 12, 14, 15, 17 }

Step 1: Order the data from least to greatest. In this case, the data is already ordered.

Step 2: Find the median. The median is the middle number. In this case, the median is 12.

Step 3: Find Q1. This is the median of the lower half of the data. Since we are excluding the median in calculations, the lower half of the data is {6, 8, 9}. The median of this set is 8, so Q1 = 8.

Step 4: Find Q3. This is the median of the upper half of the data. Again excluding the median, the upper half of the data is {14, 15, 17}. The median of this set is 15, so Q3 = 15.

Step 5: Subtract Q1 from Q3 to find the IQR. IQR = Q3 - Q1 = 15 - 8 = 7.

So, the interquartile range of the given data set is 7.