Math Problem Statement
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: 0 / 20 of 2 Parts Complete Part 1 of 2 (a)Find the first quartile of the scores. The first quartile of the scores is
Solution
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:
- How would you calculate the second quartile (median) of these scores?
- Can you explain how the first quartile is different from the median in data distribution?
- How would you determine the interquartile range (IQR) for these scores?
- What is the meaning of the third quartile in a data set?
- 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.
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Math Problem Analysis
Mathematical Concepts
Statistics
Quartiles
Data Distribution
Formulas
Q1 = (n+1)/4th value in the data set (ordered data)
Theorems
Quartile Theorem
Order Statistics
Suitable Grade Level
Grades 9-12
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