Final answer:
The interquartile range (IQR) for the provided scores is calculated as the difference between the first and third quartiles of the ordered data, with the result being an IQR of 8.
Step-by-step explanation:
To calculate the interquartile range (IQR) for the given scores: 1, 0, 9, 8, 7, 9, 7, 6, 7, 1, 0, 9, 8, first, we need to order the scores in ascending order, and then identify the first quartile (Q1) and the third quartile (Q3).
The IQR is the difference between Q3 and Q1.
Ordered data: 0, 0, 1, 1, 6, 7, 7, 7, 8, 8, 9, 9, 9
Here, there are 13 data points, and the median (or Q2) is the seventh score which is 7.
The first quartile (Q1) will be the median of the lower half (not including the median), and the third quartile (Q3) will be the median of the upper half.
Q1 is the median of 0, 0, 1, 1, 6, which is 1.
Q3 is the median of 8, 8, 9, 9, 9, which is 9.
Therefore, the IQR is Q3 - Q1, which is 9 - 1 = 8.
The IQR provides insights into the spread of the middle 50 percent of the data and helps in identifying outliers.