The following data was collected from 1 bag of Hershey Kisses®. Each Kiss® was weighed in grams with the wrapper and recorded in the table below. Hershey claims that there are 368 grams of chocolate in one bag. Hershey Kiss Weights in Grams 4.76 4.72 4.74 4.55 4.91 4.74 4.78 4.71 4.80 4.78 4.78 4.75 4.79 4.82 4.91 4.83 4.68 4.74 4.70 4.80 4.70 4.76 4.70 4.83 4.93 4.74 4.84 4.82 4.76 4.77 4.72 4.78 4.83 4.75 4.74 4.68 4.84 4.71 4.71 4.76 4.66 4.78 4.73 4.74 4.92 4.77 4.80 4.79 4.86 4.64 4.78 4.70 4.75 4.78 4.76 4.83 4.66 4.77 4.83 4.78 4.69 4.81 4.68 4.78 4.88 4.72 4.85 4.85 4.81 4.74 4.80 4.82 4.84 4.70 4.85 4.70 4.81 4.72 4.79 4.73 4.61 1. What is the mean, median, and mode? (you may want to use your calculator or the average and median functions in Excel!) 2.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? 3. 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. 4. How many Kisses® were there in the bag? 5. 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. 6. 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! 7. Describe the distribution of Kisses®. Make sure to include descriptions of the shape, center, spread, and outliers, if there are any. 8. In general, each Kiss® is approximately how many grams? Explain what measure you used and why. 9. 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. 10. How might standard deviation and the shape of the distribution indicate how consistent Hershey® is in the manufacturing of their Kisses®? 11. What did you learn from doing this lab? What did you enjoy the most?
The following data was collected from 1 bag of Hershey Kisses®. Each Kiss® was weighed in grams with the wrapper and recorded in the table below. Hershey claims that there are 368 grams of chocolate in one bag.
Hershey Kiss Weights in Grams
4.76 4.72 4.74 4.55 4.91 4.74 4.78 4.71 4.80
4.78 4.78 4.75 4.79 4.82 4.91 4.83 4.68 4.74
4.70 4.80 4.70 4.76 4.70 4.83 4.93 4.74 4.84
4.82 4.76 4.77 4.72 4.78 4.83 4.75 4.74 4.68
4.84 4.71 4.71 4.76 4.66 4.78 4.73 4.74 4.92
4.77 4.80 4.79 4.86 4.64 4.78 4.70 4.75 4.78
4.76 4.83 4.66 4.77 4.83 4.78 4.69 4.81 4.68
4.78 4.88 4.72 4.85 4.85 4.81 4.74 4.80 4.82
4.84 4.70 4.85 4.70 4.81 4.72 4.79 4.73 4.61
1. What is the mean,
2.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?
3. 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.
4. How many Kisses® were there in the bag?
5. 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.
6. 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!
7. Describe the distribution of Kisses®. Make sure to include descriptions of the shape, center, spread, and outliers, if there are any.
8. In general, each Kiss® is approximately how many grams? Explain what measure you used and why.
9. Use the mean (to the nearest thousandth), the standard deviation (to the nearest thousandth), and the
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.
10. How might standard deviation and the shape of the distribution indicate how consistent Hershey® is in the manufacturing of their Kisses®?
11. What did you learn from doing this lab? What did you enjoy the most?
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