Suppose that, for a set of data, the range is x and the interquartile range is y
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To calculate the range and interquartile range of a dataset, follow these steps:
1. Arrange the data in ascending order from smallest to largest.
2. Subtract the smallest value from the largest value to find the range. This will be denoted by 'x'.
The formula for range: x = Largest value - Smallest value
3. To find the interquartile range, you first need to determine the lower quartile (Q1) and upper quartile (Q3).
- To find Q1, locate the median of the lower half of the data set.
- To find Q3, locate the median of the upper half of the data set.
4. Subtract Q1 from Q3 to find the interquartile range. This will be denoted by 'y'.
The formula for interquartile range: y = Q3 - Q1
By using these steps, you can calculate both the range ('x') and the interquartile range ('y') for any given dataset.