Following are final exam scores, arranged in increasing order, for students in an introductory statistics course.
58, 59, 59, 62, 62, 62, 63, 64, 64, 66, 70, 72, 72, 73, 76, 76, 78, 79, 80, 81, 82, 83, 84, 86, 90, 93, 94, 97
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Part 1 of 2
(a)Find the first quartile of the scores.
The first quartile of the scores is

The first quartile (Q1) of the scores is 63.75.

Would you like any more details on this calculation or have any other questions?

Here are 5 related questions for further exploration:
1. How would you calculate the second quartile (median) of these scores?
2. Can you explain how the first quartile is different from the median in data distribution?
3. How would you determine the interquartile range (IQR) for these scores?
4. What is the meaning of the third quartile in a data set?
5. How would the quartiles change if we added more extreme scores?

**Tip:** The first quartile (Q1) represents the score below which 25% of the data fall, useful in identifying the lower spread of data.

Following are final exam scores, arranged in increasing order, for students in an introductory statistics course: 58, 59, 59, 62, 62, 62, 63, 64, 64, 66, 70, 72, 72, 73, 76, 76, 78, 79, 80, 81, 82, 83, 84, 86, 90, 93, 94, 97. Part 1: Find the first quartile of the scores.

Learn how to calculate the first quartile (Q1) of a data set, using the example of final exam scores. This detailed guide walks through the steps to find Q1, covering statistical concepts like quartiles and data distribution. Perfect for Grades 9-12.

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