Investigate weather or not the co-op or walkers crisps advertise their weight more accurately.

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Krystina Henderson

Maths Coursework-Statistics

Introduction

        This piece of coursework is my statistics coursework. For this piece of coursework I will be investigating weather or not the co-op or walkers crisps advertise their weight more accurately. Their advertised weight is 25grams.

        

Hypothesis

        For my hypothesis I predict that the walkers crisps will be more accurate to their advertised weight of 25grams, than the co-op crisps who’s advertised weight is also 25grams. I predict this because walkers are a bigger manufacturer and therefore I think they will try harder to be truer to the ideal weight.  

Plan

        For this piece of this coursework I will be collecting data, to collect the data I will use cluster sampling to collect the data on the weight of all the crisps, and to find the weight of a empty packet of crisp. I will use random sampling to choose which pieces of data I am going to use. I will be using cluster sampling and random sampling to make sure the data is unbiased.

        I am going to group the data because I feel it will be easier to work with if I group it, as I have a lot of data to work with.

        To calculate the data I will be calculating my mean and mode from my data.

To display the data I will construct a Cumulative Frequency graph, to find the median and the interquartile range, along with a box and whisker plot. And a histogram to find the mode. I will also find the standard deviation and the distribution of the data around the median.

When I have completed my coursework I will evaluate it to see what I could have improved and what I would change if I did this piece of coursework again, and its implications as to the proof of my hypothesis.

Data

        For this piece of coursework I am going to investigate how many grams of crisps are in each packet of crisps. This is to see if my hypothesis is correct. The data is cluster sampling as there are 8 multipacks of 12 bags of walkers crisps all bought at the same asda at the same time. Also we bought 8 multipacks of 12 bags of crisps of the co-op crisps all bought at the same co-op at the same time, therefor it couldn’t be biased. We can’t do a random collection, as it would be impossible to get all the bags of crisps into the same room to weight.

        We are going to use cluster sampling first to weigh the crisps. After we have weighed the packets of crisps we are going to weigh the empty bags of crisps, to do this we will weigh 30 empty bags of crisps at the same time, as 1 bag of crisps is too light to show up a weight on the scales. The weight of the 30 packets of empty crisps will then be divided by 30, to find the average weight of an empty bag of crisps. The weight of an empty bag of crisps is 1.35grams for the CO-OP crisps, and 2.16 for the Walkers crisps. We are going to use the scales from the science department. Altogether there will be 192 packets of crisps to weight. Once we have collected the data from cluster sampling I will then random sample it.

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I am going to random sample the data so it is unbiased. I will use the RAN button on my calculator, which will select a number for me to use to choose which packets of crisps I am going to work with. I will do this to randomly select 4 bags of crisps from both multipacks of walkers and the co-op.         

        The type of data I will use is primary data, as I was involved in the collecting the data. The downside of this is that there might be a human error made, which could effect the results of ...

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