# Statistics Project

**Topics:**Standard deviation, Arithmetic mean, Breakfast cereal

**Pages:**3 (599 words)

**Published:**October 23, 2012

Purpose: Analyze and compare sugar content of popular cereals with the same serving size. Cereal is a staple in my home, but chosen for different reasons. Cereals that are popular with kids are starting to advertise more fiber and grains, which capture a parent’s eye. Is eating a blander colored cereal really more healthy than a vibrant colored one?

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Category(X): | Cheerios| Crispix| Go Lean| Grapenuts| Rice Crispies | Special K| Honey Comb| Corn pops| Fruit Loops| Homey Smacks| P(X=x): | 0.0118 | 0.0382 | 0.0443 | 0.0465 | 0.0554 | 0.12 | 0.138 | 0.167 | 0.173 | 0.205 | | | | | | | | | | | |

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For this project, I compared the sugar content of equal serving sizes of 10 various breakfast cereals. Since serving sizes varied from brand to brand, the results were computed based on a serving size equal to 50 grams. The sugar content per 50 gram serving size was computed by using the following formula: 50 grams = Serving size to be compared

(50 x Sugar per serving) / Serving Size

Example: (50 * 1) / 30 = 1.67g of sugar per 50.00g serving

A histogram was created using a bar chart to display the sugar content per 50 gram serving size of the various cereals. The raw data (sugar content and serving size) was obtained from the nutritional content label located on the side of each box of cereal.

Median: The median is 11.82 grams of sugar per serving. (7.5+16.13=23.63/2) Sample Mean: 13.50 grams of sugar per serving (134.96/10= sum of the sugars, divided by the sample size) Range: 26.18 (27.78-1.6) Difference between the maximum and minimum Sample Variance: 86.49866667 (Calculation shown on the next page: used a spreadsheet and pasted into the document) Sample Standard Deviation: 9.300465938 (Calculation shown on the next...

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