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Additional maths sba

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The document describes an experiment to determine whether an ordinary six-sided die is biased. Students were split into groups and each group performed one of six experiments, throwing the die 120 times on different surfaces. The experiments varied whether the die was shaken in the hand, a Styrofoam cup, or glass cup before being thrown on a varnished or cloth table. The results were combined and frequencies of each face landing uppermost were recorded. Charts and calculations were used to compare results and probabilities across experiments to reach a conclusion on bias.

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Title: Is An Ordinary Six-faced Gaming Die Bias? Purpose: To carry out simple experiments to determine whether or not an ordinary six-faced gaming die is bias or not. VARIABLES: Independent- size of the die Manipulated- different types of experiments Responding- faces of the die Procedure: 1. Students were place into six groups of threes and fours. Each group randomly choose one of the experiments below, (i to vi) to carry out in which each group had to throw an ordinary 6-faced gaming die one hundred and twenty times on different surfaces. (i) The die was held in the palm of the hand and shaken around a few times before it was thrown onto a varnished table top. (ii) The die was placed in a Styrofoam drinking cup and shaken around a few times before it was thrown onto a varnished table top. (iii) The die was placed in a glass drinking cup and shaken around a few times before it was thrown onto a varnished table top. (iv) The die was held in the palm of the hand and shaken around a few times before it was thrown onto a cloth covered table top. (v) The die was placed in a Styrofoam drinking cup and shaken around a few times before it was thrown onto a cloth covered table top. (vi) The die was placed in a glass drinking cup and shaken around a few times before it was thrown onto a cloth table top. 2. When all groups carried out their experiments, all of the results were then combined. 3. A table was constructed with the frequencies of each face landing uppermost face on the die. 4. Using Microsoft excel, charts were then made for each of the experiments to show comparisons of the frequencies for each face 5. For each experiment, the relative probability was calculated for each face landing uppermost. All results were tabulated. 6. All findings and comparisons were discussed and a conclusion was stated.

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Additional maths sba

  • 1. Title: Is An Ordinary Six-faced Gaming Die Bias? Purpose: To carry out simple experiments to determine whether or not an ordinary six-faced gaming die is bias or not. VARIABLES: Independent- size of the die Manipulated- different types of experiments Responding- faces of the die Procedure: 1. Students were place into six groups of threes and fours. Each group randomly choose one of the experiments below, (i to vi) to carry out in which each group had to throw an ordinary 6-faced gaming die one hundred and twenty times on different surfaces. (i) The die was held in the palm of the hand and shaken around a few times before it was thrown onto a varnished table top. (ii) The die was placed in a Styrofoam drinking cup and shaken around a few times before it was thrown onto a varnished table top. (iii) The die was placed in a glass drinking cup and shaken around a few times before it was thrown onto a varnished table top. (iv) The die was held in the palm of the hand and shaken around a few times before it was thrown onto a cloth covered table top. (v) The die was placed in a Styrofoam drinking cup and shaken around a few times before it was thrown onto a cloth covered table top. (vi) The die was placed in a glass drinking cup and shaken around a few times before it was thrown onto a cloth table top. 2. When all groups carried out their experiments, all of the results were then combined. 3. A table was constructed with the frequencies of each face landing uppermost face on the die. 4. Using Microsoft excel, charts were then made for each of the experiments to show comparisons of the frequencies for each face 5. For each experiment, the relative probability was calculated for each face landing uppermost. All results were tabulated. 6. All findings and comparisons were discussed and a conclusion was stated.