Cxc Additional Math Sba
Title: Are the colours of M&M’s evenly distributed in a bag of M&M’s?
Purpose of Project / Aim:
Probability is an educated thought or guess to determine if a particular event will occur. Probability is important to assist in making and predicting everyday decisions; the probability that a child will be born with sickle cell disease or the probability that crops will die are all important for the human survival.
The use of M&M’s is to substitute for the examples listed above to examine probability considering they are used in everyday life and are therefore readily accessible. When individuals consume M&M’s, they indentify particular colours and this can be related to probability.
Calculating the probability of a particular colour is mainly based on the total number of M&M’s you have and how much of that colour is present. This is because the general formula for probability is interest over the total:
P(A) = The Number Of Ways Event A Can Occur The total number Of Possible Outcomes
Standard deviation is the value calculated to indicate the extent of deviation for a group as a whole. Standard deviation will be used to assist with the analysis of this experiment.
This experiment aims to determine whether the portions of each colour in each bag of M&M’s are even by determining the probability of picking a particular colour and if not by how far “off” they are.
Method of Data Collection:
Three bags of M&M’s and three cups were used. One bag of M&M’s was open and the number of each colour was counted and recorded. This was repeated for the other two bags of M&M’s. A ratio of each colour to the total number in the cup was made. The total number of each colour was found and recorded. A ratio of each colour to the total number of M&M’s was calculated and recorded. All observations were recorded in a table and used to create a bar chart. The experiment was repeated for accuracy.
Presentation of Data: (Graph and table):
Table 1: Table
Purpose of Project / Aim:
Probability is an educated thought or guess to determine if a particular event will occur. Probability is important to assist in making and predicting everyday decisions; the probability that a child will be born with sickle cell disease or the probability that crops will die are all important for the human survival.
The use of M&M’s is to substitute for the examples listed above to examine probability considering they are used in everyday life and are therefore readily accessible. When individuals consume M&M’s, they indentify particular colours and this can be related to probability.
Calculating the probability of a particular colour is mainly based on the total number of M&M’s you have and how much of that colour is present. This is because the general formula for probability is interest over the total:
P(A) = The Number Of Ways Event A Can Occur The total number Of Possible Outcomes
Standard deviation is the value calculated to indicate the extent of deviation for a group as a whole. Standard deviation will be used to assist with the analysis of this experiment.
This experiment aims to determine whether the portions of each colour in each bag of M&M’s are even by determining the probability of picking a particular colour and if not by how far “off” they are.
Method of Data Collection:
Three bags of M&M’s and three cups were used. One bag of M&M’s was open and the number of each colour was counted and recorded. This was repeated for the other two bags of M&M’s. A ratio of each colour to the total number in the cup was made. The total number of each colour was found and recorded. A ratio of each colour to the total number of M&M’s was calculated and recorded. All observations were recorded in a table and used to create a bar chart. The experiment was repeated for accuracy.
Presentation of Data: (Graph and table):
Table 1: Table