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Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III
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You Explain It! Quartiles One variable that is measured by

Chapter 3, Problem 18E

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QUESTION:

Problem 18E

You Explain It! Quartiles 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.

Q1 = 42 Q2 = 51.5 Q3 = 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?

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QUESTION:

Problem 18E

You Explain It! Quartiles 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.

Q1 = 42 Q2 = 51.5 Q3 = 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:

Solution:

Step 1 of 3:

The summary of the number of minutes a student spends for each section of the text for 2010 semester in a college is given.

Q1= 42, Q2 = 51.5, Q3 = 72.5.

  1. We have to make an interpretation of the results.
  2. We have to determine and interpret the interquartile range.
  3. A student spend 2 hours during a homework section, we have to determine whether this is an outlier or not.
  4. We have to identify the shape of the distribution.

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