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 Coke Analysis Phase I Michael Trieu 2/26/2012

Coke Analysis Phase I

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Coke Analysis

Phase I

Michael Trieu

2/26/2012

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Experiment:

We experimented and took data from three different soda brands that included Coke

Zero, Diet Coke, and Diet Pepsi. The supplies were given by professor Brian Jean

which were the three types of sodas, a weigh machine, and iPads to collect our data.

We were split into groups to find the weight of random selected soda cans and then

compare the weight of them to each other. The cans were labeled with numbers 1-68

for each brand, then we used the app TC-Stats to generate 15 random numbers. We

use the 15 random numbers to select a can that we can weigh for our data. My group

took turns gathering cans and collecting data for the soda. Our group hypothesized that

Diet Pepsi weighed the most because It was a different brand then the other two,

therefore it was made in a different process that might make it more heavy.

Coke Zero: Results

The table and graphs of the Coke Zero dats gives us very vital information. The weight

of all the Coke Zero cans is 5565.72 grams. The mean is about 371.05 which is the

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average of all the Coke Zero weights together. The sample deviation of 1.76 shows

how spread out the data is. Therefore, on average the the difference between each can

is about 1.76 grams around the mean. This information is a way of checking how close

we were able to keep reproducing the same results, the larger the sample deviation

equals more room for variation in our results. The lowest or minimum weight for Coke

Zero is 368.51 grams. The 5 number summary for Coke Zero describes the set of

observations which are also the most important sample percentiles. The first quartile

which is the same as the 25th percentile (25% of the data below and 75% above) is

369.64 grams. The median or the center data which is the same as the 50th percentile

(50% of the data below and 50% above) is 370.34 grams. The third quartile or 75th

percentile (75% of the data below and 25% above) is 372.76 grams. The largest value

(maximum) we received out of the 15 data samples we took for Diet Pepsi was 374.09

grams. The graphs and tables show us that the data appears uniform.

Diet Coke: Results

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The sum of all the Diet Coke cans came out to be 5589.79 grams. The average or

mean of the data is 372.65 grams. The 5 number summary for Diet Coke shows the

minimum at 369.61, first quartile at 371.52, median at 372.52, third quartile at 373.85,

and lastly the max at 375.85 grams. The standard deviation is about 1.66 which means

there was a little less spread than the Coke Zero standard deviation, therefore Diet

Coke was more consistent with its weights around the mean. The variance of the Diet

Coke data is 2.75. The Box and Whisker plot shows us that the data is mostly uniform,

but we can also say it is slightly skewed left.

Diet Pepsi: Results

The collective data of the Diet Pepsi tells us the sum is 5536.79 grams. The mean is

369.12 which is the average of all the Diet Pepsi weights. The standard deviation of the

Diet Pepsi is 1.77. The variance is 3.13 which gives us information how spread out the

data on average. The minimum or lowest weight we recorded for Diet Pepsi is 365.54

grams. The maximum weight we recorded is 371.83 grams. The middle point in the

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data came out to be 369.26 grams. The first quartile of the data is 368.26 and the third

quartile resulted in 370.92. The Box and Whisker plot shows that the data is mostly

skewed left shape for Diet Pepsi.

Comparison:

The data of all the weight of the soda cans gives us information, that we can compare

the weights side by side. The data tells us that Diet Coke had the highest mean of

372.65 grams, concluding the average of Diet Coke was the heaviest of all the three

sodas. Also, the heaviest can at 375.38 grams belonged to Diet Coke. The soda can

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with the smallest mean was Diet Pepsi, which also had the lightest can that was

weighed at 365.54 grams. Diet Coke was the most consistent with its weight because it

had the lowest standard deviation at 1.66 and a variance at 2.75. Coke Zero's average

weight resided in the middle between the other two soda cans.

Conclusion:

Our groups hypothesis was incorrect because we believed that Diet Pepsi would be the

heaviest because it was manufactured in a different way than the two Coke sodas. The

result was that Diet Coke had the heaviest average of all the cans. The conclusion is

that Diet Coke is the heaviest soda can out of them three cans.