Final Answer:
The interquartile range (IQR) is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) in a box plot, and in this case, Q3 - Q1 equals 56. Thus, the correct answer is option c) 56
Step-by-step explanation:
The interquartile range (IQR) is a measure of statistical dispersion, representing the spread of the middle 50% of a dataset. To calculate it, subtract the first quartile (Q1) from the third quartile (Q3). In this case, the IQR is 56.
The IQR is useful for understanding the variability within the middle portion of a dataset, providing insights into the central tendency. It is less sensitive to outliers than the full range, making it a robust measure in statistical analysis.
In the context of a box plot, the box itself represents the interquartile range, with the box's length indicating the spread of the central data. Therefore, the correct answer to the question is c) 56, as it represents the calculated interquartile range for the given dataset.
Thus, the correct answer is option c) 56.