In the data set below, what is the interquartile range?527532285137Save answer

To calculate the interquartile range (IQR), you first need to organize the data set in ascending order and then find the first quartile (Q1) and the third quartile (Q3). The IQR is the difference between Q3 and Q1.

Here are the steps:

1. Organize the data in ascending order: 285, 527, 532, 137.
2. Correct the order: 137, 285, 527, 532.
3. Find Q1, which is the median of the first half of the data. Since we have 4 data points, the first half is just the first two numbers. The median of 137 and 285 is (137+285)/2 = 211.
4. Find Q3, which is the median of the second half of the data. The second half is the last two numbers. The median of 527 and 532 is (527+532)/2 = 529.5.
5. Subtract Q1 from Q3 to find the IQR: 529.5 - 211 = 318.5.

So, the interquartile range of the data set is 318.5.