Find the median, lower -quartile, upper-quartile and inter-quartile range of the following sets of discrete data.

To find the median, lower quartile, upper quartile, and interquartile range of a set of discrete data, we first need to arrange the data in ascending order. Then, we can find the median, lower quartile, and upper quartile using the following formulas:

Median: The median is the middle value of the data set. If the data set has an odd number of values, the median is the middle value. If the data set has an even number of values, the median is the average of the two middle values.

Lower Quartile (Q1): The lower quartile is the median of the lower half of the data set. It is also known as the first quartile.

Upper Quartile (Q3): The upper quartile is the median of the upper half of the data set. It is also known as the third quartile.

Interquartile Range (IQR): The interquartile range is the difference between the upper quartile and the lower quartile. It measures the spread of the middle 50% of the data.

Let's calculate these values for the given data sets:

Data Set 1: 5, 7, 8, 9, 10
Data Set 2: 12, 15, 18, 21, 24, 27, 30

Data Set 1:
Median: 8
Lower Quartile (Q1): 7
Upper Quartile (Q3): 9
Interquartile Range (IQR): 2

Data Set 2:
Median: 18
Lower Quartile (Q1): 15
Upper Quartile (Q3): 24
Interquartile Range (IQR): 9