### Problem 5.4#### Scenario:Jessica is a freshman at the University of Minnesota Duluth. She has been watching her weight because she is afraid of gaining that 'freshman fifteen' she keeps hearing about. She has weighed herself every Monday morning since school started. Here is a histogram showing the results in pounds of all of her Monday morning weight checks.#### Questions to Answer:a) **Describe the distribution. Remember your S.O.C.S!**b) **What is the range for the bin that has 6 observations?**c) **For her height, Jessica feels that 140 lbs is her ideal weight. What percent of the time has she been within 5 lbs. of her ideal weight?**#### Histogram Details:The histogram visually displays the frequency of Jessica's weights over a period of time:- The x-axis is labeled "Weight of Jessica" and ranges from 132 to 148 pounds.- The y-axis is labeled "Frequency" and ranges from 0 to 8. - The bins (intervals) present frequencies for specific weight ranges.From the histogram:- The bin containing weights from 138 to 140 pounds has the highest frequency of 8.- Other bins have the following frequencies: - 132-134: 1 observation - 134-136: 2 observations - 136-138: 3 observations - 140-142: 6 observations - 142-144: 3 observations - 144-146: 1 observation - 146-148: 1 observation#### Answer Section:a) **Distribution Description Using S.O.C.S (Shape, Outliers, Center, Spread):**- **Shape:** The histogram appears to be slightly right-skewed as the frequencies tend to decrease as the weights increase.- **Outliers:** There are no noticeable outliers present in the histogram.- **Center:** The center of the distribution seems to be around the 140 pound range where the highest frequency is observed.- **Spread:** The weights spread from approximately 132 to 148 pounds.b) **Range for the Bin with 6 Observations:**- The bin with 6 observations ranges from 140 to 142 pounds.c) **Calculation of Percent within 5 lbs. of Ideal Weight:**- Jessica's ideal weight is 140 lbs.- She is within 5

SOCS is a useful acronym. It stands for: Shape Outliers center spread Range = Max-Min

Answered: 4 she is afraid of gaining that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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