4.764.724.744.554.914.744.784.714.804.784.784.754.794.824.914.834.684.744.704.804.704.764.704.834.934.744.844.824.764.774.724.784.834.754.744.684.844.714.714.764.664.784.734.744.924.774.804.794.864.644.784.704.754.784.764.834.664.774.834.784.694.814.684.784.884.724.854.854.814.744.804.824.844.704.854.704.814.724.794.63 What is the mean, median, and mode? (you may want to use your calculator or the average and median functions in Excel!)What could be some reasons for variation in the weights of the Kisses®? Note: Take time answering this one. There are lots of things to consider here and I'll be looking for a well thought out answer with several given reasons contributing to the variation. Of course, the wrappers and tags could vary but what about the drops of chocolate themselves? Why aren't they all the same?Would you say that there are any two Kisses that have exactly the same weight? (I mean exactly the same weight!) Explain why or why not.How many Kisses® were there in the bag?Based on Hershey's® claim for 368 total net grams of chocolate in the bag, approximately how many Kisses® too many or too few are there? Assume that the Kisses® were weighed with the wrapper, each wrapper weighs 0.12 grams, and the net grams listed on the bag are for the chocolate only. Give some possible explanations for this difference.Make a histogram of the data using 8-to-10 classes. You can either use Excel or hand-draw it. If you hand-draw it, make sure your picture or scan of the histogram is easy to read!Describe the distribution of Kisses®. Make sure to include descriptions of the shape, center, spread, and outliers, if there are any.In general, each Kiss® is approximately how many grams? Explain what measure you used and why.Standard Deviation & the Empirical Rule: Variation is a big factor in the analysis of most any data set and it will be very important to have a way of measuring it. Standard Deviation is one such measure. Find the Standard Deviation of the data. You can use the stdev or stdev.s functions in Excel. A bell-shaped distribution with a single peak is called a normal distribution. There is a rule for normal distributions that can help you have some feeling for what the standard deviation is telling you. It's called the Empirical Rule and is stated below: For any data set having a Normal distribution, the following are true:- Approximately 68% of the data values will be within one standard deviation of the mean.- Approximately 95% of the data values will be within two standard deviation of the mean. - Approximately 99.7% of the data values will be within three standard deviation of the mean. Use the mean (to the nearest thousandth), the standard deviation (to the nearest thousandth), and the Empirical Rule to find answers to the following: a) Find the percentage of all the Kisses in the bag that fell within 1 standard deviation of the mean? ... within 2?… within 3? (Show how you calculated these percentages!) b) How close is the Empirical Rule in predicting the percentages that you calculated above? c) If your calculated percentages did not line up with the percentages claimed by the Empirical Rule, speculate on some possible reasons for this.How might standard deviation and the shape of the distribution indicate how consistent Hershey® is in the manufacturing of their Kisses®?What did you learn from doing this lab? What did you enjoy the most?

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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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4.764.724.744.554.914.744.784.714.804.784.784.754.794.824.914.834.684.744.704.804.704.764.704.834.934.744.844.824.764.774.724.784.834.754.744.684.844.714.714.764.664.784.734.744.924.774.804.794.864.644.784.704.754.784.764.834.664.774.834.784.694.814.684.784.884.724.854.854.814.744.804.824.844.704.854.704.814.724.794.63

What is the mean, median, and mode? (you may want to use your calculator or the average and median functions in Excel!)
What could be some reasons for variation in the weights of the Kisses®? Note: Take time answering this one. There are lots of things to consider here and I'll be looking for a well thought out answer with several given reasons contributing to the variation. Of course, the wrappers and tags could vary but what about the drops of chocolate themselves? Why aren't they all the same?
Would you say that there are any two Kisses that have exactly the same weight? (I mean exactly the same weight!) Explain why or why not.
How many Kisses® were there in the bag?
Based on Hershey's® claim for 368 total net grams of chocolate in the bag, approximately how many Kisses® too many or too few are there? Assume that the Kisses® were weighed with the wrapper, each wrapper weighs 0.12 grams, and the net grams listed on the bag are for the chocolate only. Give some possible explanations for this difference.
Make a histogram of the data using 8-to-10 classes. You can either use Excel or hand-draw it. If you hand-draw it, make sure your picture or scan of the histogram is easy to read!
Describe the distribution of Kisses®. Make sure to include descriptions of the shape, center, spread, and outliers, if there are any.
In general, each Kiss® is approximately how many grams? Explain what measure you used and why.
Standard Deviation & the Empirical Rule: Variation is a big factor in the analysis of most any data set and it will be very important to have a way of measuring it. Standard Deviation is one such measure. Find the Standard Deviation of the data. You can use the stdev or stdev.s functions in Excel. A bell-shaped distribution with a single peak is called a normal distribution. There is a rule for normal distributions that can help you have some feeling for what the standard deviation is telling you. It's called the Empirical Rule and is stated below:

For any data set having a Normal distribution, the following are true:
- Approximately 68% of the data values will be within one standard deviation of the mean.
- Approximately 95% of the data values will be within two standard deviation of the mean.
- Approximately 99.7% of the data values will be within three standard deviation of the mean.

Use the mean (to the nearest thousandth), the standard deviation (to the nearest thousandth), and the Empirical Rule to find answers to the following:
a) Find the percentage of all the Kisses in the bag that fell within 1 standard deviation of the mean? ... within 2?… within 3? (Show how you calculated these percentages!)
b) How close is the Empirical Rule in predicting the percentages that you calculated above?
c) If your calculated percentages did not line up with the percentages claimed by the Empirical Rule, speculate on some possible reasons for this.
How might standard deviation and the shape of the distribution indicate how consistent Hershey® is in the manufacturing of their Kisses®?
What did you learn from doing this lab? What did you enjoy the most?

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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