A teacher recorded the number of pages read by her students in a week: 10, 15, 20, 25, 30, 35, 40, 45, 50. Calculate the Interquartile Range (IQR) for this dataset. The IQR is ________.
Answer & Analysis
Analysis
Question Analysis
This question requires the student to calculate the Interquartile Range (IQR) for a given dataset. The dataset is already sorted, so the student needs to identify Q1 and Q3 and then compute IQR = Q3 - Q1.
Key Concept Explanation
The Interquartile Range (IQR) is a measure of statistical dispersion, calculated as the difference between the upper quartile (Q3) and the lower quartile (Q1). It represents the range covered by the middle 50% of the data.
Step-by-step Solution
1. Identify the median of the dataset: The dataset has 9 values, so the median is the 5th value, which is 30.
2. Determine Q1 (the median of the first half): The first half of ...
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