Question

What is the interquartile range (IQR ) 13,14,17,18,23,27,28,31,34

Answer 1

The interquartile range (IQR) of the dataset 13,14,17,18,23,27,28,31,34 is 17. The IQR is calculated as the difference between the first quartile (Q1) and the third quartile (Q3).

Step-by-step explanation:

The Interquartile Range (IQR) is a statistical measure of spread that indicates the middle 50% of a dataset, it is computed as the difference between the first quartile (Q1) and the third quartile (Q3). To find the IQR, you first need to identify the Q1 and Q3.

1. Order the data from lowest to highest: 13, 14, 17, 18, 23, 27, 28, 31, 34.
2. Find the median (Q2), which is the middle value: 23.
3. Find Q1, which is the median of the lower half (excluding Q2): 14.
4. Find Q3, which is the median of the upper half (excluding Q2): 31.
5. Subtract Q1 from Q3 to determine the IQR: 31-14 = 17.

So, the interquartile range of the dataset is 17.

Learn more about Interquartile Range