Question

What type of data representation or statistical measure should be utilized to determine the range within which 50% of the data points will fall?

Answer 1

To determine the range within which 50% of the data points will fall, we should utilize the interquartile range (IQR) as the statistical measure.

Step-by-step explanation:

In order to determine the range within which 50% of the data points fall, we need to use a measure of the spread of the data called the interquartile range (IQR). The IQR is the range of the middle 50% of the data values, and it can be calculated by finding the difference between the third quartile (Q3) and the first quartile (Q1).

For example, if a data set has values ranging from 1 to 100, the first quartile (Q1) would be at the 25th percentile, and the third quartile (Q3) would be at the 75th percentile. The IQR would then be Q3 - Q1. In this case, since we want to determine the range within which 50% of the data points fall, we can say that the range would be Q1 to Q3.

Therefore, to determine the range within which 50% of the data points will fall, we should utilize the interquartile range (IQR) as the statistical measure.