Frequency Distribution, Measures of Central Tendency and Dispersion

The following will include the answers to the assigned questions in week 5.

Sevilla & Somers: Activity 18.1

1

Probability distribution which is a function that describe and obtain a list of outcome that is not equal. Frequency Distribution used to calculate the probabilities of getting each outcome. In the first part to toss a coin 10 times and result as follows:

|Toss# |1 |

|0 |0 + 0 = 0 |

|1 |1 + 2 = 3 |

|2 |1 + 3 = 4 |

|3 |4 + 2 = 6 |

|4 |6 + 2 = 8 |

|5 |10 + 3 = 13 |

|6 |6 + 4 = 10 |

|7 |5 + 2 = 7 |

|8 |2 + 4 = 6 |

|9 |0 + 2 = 2 |

|10 |0 + 1 = 1 |

1.d

Below is the scatter plot of the total of 60 Tosses from 1.c :

[pic]

The curve looks like a pyramids or pointed bell where the top point has a value of 13, at the same time the curve is increasing from the point 0 towards the maximum value 13, and then decreasing into the lowest point which is 1. Hence, the curve is centered at “5” and spread from “0 to 10”.

1.e

Below is the bar graph from 1.d data

[pic]

1.f

The hand curve shows similarity to the curve in 1.d with some irregularity due to the un-steady motion of the human hand.

Lind, Marshal, & Wathen text: Ch.17, exercise 20 (a and b only)

A.

Mean chart has two limits: upper control limit (UCL) and lower control limit (LCL) in which control limits are lines in a chart that indicates the upper and lower limits in order to judge the significance of variation in a plotted data. (business dictionary). In calculating the upper/lower control limits, following formula used: LCL/ UCL = X+/-3 and...

The following will include the answers to the assigned questions in week 5.

Sevilla & Somers: Activity 18.1

1

Probability distribution which is a function that describe and obtain a list of outcome that is not equal. Frequency Distribution used to calculate the probabilities of getting each outcome. In the first part to toss a coin 10 times and result as follows:

|Toss# |1 |

|0 |0 + 0 = 0 |

|1 |1 + 2 = 3 |

|2 |1 + 3 = 4 |

|3 |4 + 2 = 6 |

|4 |6 + 2 = 8 |

|5 |10 + 3 = 13 |

|6 |6 + 4 = 10 |

|7 |5 + 2 = 7 |

|8 |2 + 4 = 6 |

|9 |0 + 2 = 2 |

|10 |0 + 1 = 1 |

1.d

Below is the scatter plot of the total of 60 Tosses from 1.c :

[pic]

The curve looks like a pyramids or pointed bell where the top point has a value of 13, at the same time the curve is increasing from the point 0 towards the maximum value 13, and then decreasing into the lowest point which is 1. Hence, the curve is centered at “5” and spread from “0 to 10”.

1.e

Below is the bar graph from 1.d data

[pic]

1.f

The hand curve shows similarity to the curve in 1.d with some irregularity due to the un-steady motion of the human hand.

Lind, Marshal, & Wathen text: Ch.17, exercise 20 (a and b only)

A.

Mean chart has two limits: upper control limit (UCL) and lower control limit (LCL) in which control limits are lines in a chart that indicates the upper and lower limits in order to judge the significance of variation in a plotted data. (business dictionary). In calculating the upper/lower control limits, following formula used: LCL/ UCL = X+/-3 and...