Interquartile Range 5425Cb
1. The problem is to find the Interquartile Range (IQR) of a data set.
2. The IQR is a measure of statistical dispersion and is calculated as the difference between the third quartile ($Q_3$) and the first quartile ($Q_1$).
3. The formula for IQR is:
$$\text{IQR} = Q_3 - Q_1$$
4. To find $Q_1$ and $Q_3$, first arrange the data in ascending order.
5. $Q_1$ is the median of the lower half of the data (not including the median if the number of data points is odd).
6. $Q_3$ is the median of the upper half of the data.
7. Once $Q_1$ and $Q_3$ are found, subtract $Q_1$ from $Q_3$ to get the IQR.
8. The IQR represents the range within which the middle 50% of the data lies, helping to understand the spread and identify outliers.