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Analyzing Student Homework Times: Quartiles & Data Insights
Chapter 10, Problem 18(choose chapter or problem)
One variable that is measured by online homework systems is the amount of time a student spends on homework for each section of the text. The following is a summary of the number of minutes a student spends for each section of the text for the fall 2010 semester in a College Algebra class at Joliet Junior College.
\(Q_{1}=42 \quad Q_{2}=51.5 \quad Q_{3}=72.5\)
(a) Provide an interpretation of these results.
(b) Determine and interpret the interquartile range.
(c) Suppose a student spent 2 hours doing homework for a section. Is this an outlier?
(d) Do you believe that the distribution of time spent doing homework is skewed or symmetric? Why?
Questions & Answers
QUESTION:
One variable that is measured by online homework systems is the amount of time a student spends on homework for each section of the text. The following is a summary of the number of minutes a student spends for each section of the text for the fall 2010 semester in a College Algebra class at Joliet Junior College.
\(Q_{1}=42 \quad Q_{2}=51.5 \quad Q_{3}=72.5\)
(a) Provide an interpretation of these results.
(b) Determine and interpret the interquartile range.
(c) Suppose a student spent 2 hours doing homework for a section. Is this an outlier?
(d) Do you believe that the distribution of time spent doing homework is skewed or symmetric? Why?
ANSWER:Step 1 of 3
a) 25% of the sections, the student spends 42 minutes or less on homework for this section, and 75% of the time, the student spends more than 42 minutes. 50% of the time, the student spends 51.5 minutes or less on homework for this section, and 50% spend more than 51.5 minutes. 75% of the time, the student spends 72.5 minutes or less on homework for this section, and 25% of the time, the student spends more than 72.5 minutes.
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Analyzing Student Homework Times: Quartiles & Data Insights
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Examine a dataset that tracks student homework durations. Understand quartiles, the interquartile range, and skewness in the data. Discover insights into typical study durations and outlier behaviors.