The histogram below shows the number of hours that students in a statistics class exercise each week. (a) ( (b) (c) ( 14 12 10 8 6 4 2 0 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 ) In which of the following ranges of values does the median lie: 0 - 2.5, 2.5 - 5, 5 - 7.5, or 7.5 -10? Is this distribution skewed to the right, skewed to the left, or symmetric? Do we expect the mean to be greater than, less than, or equal to the median?
The histogram below shows the number of hours that students in a statistics class exercise each week. (a) ( (b) (c) ( 14 12 10 8 6 4 2 0 0.0 2.5 5.0 7.5 10.0 12.5 15.0 17.5 ) In which of the following ranges of values does the median lie: 0 - 2.5, 2.5 - 5, 5 - 7.5, or 7.5 -10? Is this distribution skewed to the right, skewed to the left, or symmetric? Do we expect the mean to be greater than, less than, or equal to the median?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Transcribed Image Text:**Title: Histogram Analysis - Student Exercise Hours**
The histogram below illustrates the distribution of hours students in a statistics class spend exercising each week.
**Graph Description:**
- The x-axis represents the number of hours spent exercising per week, divided into intervals: 0-2.5, 2.5-5, 5-7.5, 7.5-10, 10-12.5, 12.5-15, and 15-17.5.
- The y-axis shows the frequency of students in each interval.
**Observations:**
- The interval 2.5-5 hours has the highest frequency, with 14 students.
- The interval 0-2.5 hours has 6 students.
- The intervals 7.5-10 and 12.5-15 each have 1 student.
- The intervals 5-7.5 and 15-17.5 have 4 and 2 students, respectively.
**Questions for Analysis:**
(a) **Median Interval:** In which of the following ranges of values does the median lie: 0-2.5, 2.5-5, 5-7.5, or 7.5-10?
(b) **Distribution Shape:** Is this distribution skewed to the right, skewed to the left, or symmetric?
(c) **Mean vs. Median Expectation:** Do we expect the mean to be greater than, less than, or equal to the median?
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