# MATHEMATICS

**Question 1 **(2.5 points)

Select the best graph or chart to show the distribution of finishing times of 25000 runners of the 2012 NY Marathon.

Question 1 options:

Pie Chart | |

Bar graph | |

Histogram | |

Stem and Leaf |

**Question 2 **(2.5 points)

Select the best graph or chart for presenting the National Budget that has just been approved by Congress that addresses major agency allocations.

Question 2 options:

Pie chart | |

Box chart | |

Histogram | |

Stem and Leaf |

**Question 3 **(2.5 points)

Two hundred and fifty (250) unrelated freshmen at UMUC were asked how many siblings they had. The results are shown in the graph below.

Answer the following question based on the shape of the histogram.

Question 3 options:

The above graph is Left Skewed. | |

The above graph is Symetrical. | |

The above graph is Right skewed. | |

There is insufficient data to determine skewness. |

**Question 4 **(2.5 points)

Two hundred and fifty (250) unrelated freshmen at UMUC were asked how many siblings they had. The results are shown in the graph below.

Answer the following question based on the shape of the histogram.

Question 4 options:

Mean and median are equal.in value | |

Mean is greater than median. | |

Mean is smaller than the median. | |

There is insufficient information to determine the relationship between the mean and the median. |

**Question 5 **(2.5 points)

The chart below contains 3 variables, Conference Rooms, Room Capacity and Room Size.

Conference Rooms | Room Capacity | Room Size (ft.)2 |

Frances Key | 50 | 1500 |

Paul Rever | 100 | 3000 |

Benjamin Franklin | 150 | 5000 |

George Washington | 250 | 7500 |

Classify the variable Conference rooms

Conference Rooms are

Question 5 options:

Discrete | |

Continuous | |

Neither |

**Question 6 **(2.5 points)

The chart below contains 3 variables, Conference Rooms, Room Capacity and Room Size.

Conference Rooms | Room Capacity | Room Size (ft.)2 |

Frances Key | 50 | 1500 |

Paul Rever | 100 | 3000 |

Benjamin Franklin | 150 | 5000 |

George Washington | 250 | 7500 |

Classify the variable Room size:

Room size is

Question 6 options:

Continuous | |

Discrete | |

Could be either. |

**Question 7 **(2.5 points)

A data set consists of 10 numbers. If each number in the data set has its value increased by 5 by how much will the mean of the scores in the data set change?

Question 7 options:

The mean stays the same. | |

The mean increases by 5. | |

The mean increases by 50. | |

None of the choices are correct. |

**Question 8 **(2.5 points)

A data set consists of 10 numbers. If each number in the data set has its value increased by 5 by how much will the Standard Deviation of the scores in the data set change?

Question 8 options:

The standard deviation stays the same. | |

The standard deviation increases by 5. | |

The standard deviation increases by 50. | |

None of the choices are correct. |

**Question 9 **(10 points)

Question 9 options:

A coin is flipped twenty times and landed heads fifteen times. Based upon this information, answer the following questions

If the coin is balanced (fair) what is the probability of a head on the next toss?

Fair means the equally likely principle applies.

Enter answer as a decimal to 2 place accuracy. Do not include a 0 to the left of the decimal point.

A coin is flipped twenty times and landed heads fifteen times. Based upon this information, answer the following questions:

If the coin is not balanced (not fair) what is the probability of a head on the next toss?

Not fair means the equally likely principle does not apply.

Enter answer as a decimal to 2 place accuracy. Do not include a 0 to the left of the decimal point.

**Question 10 **(10 points)

Question 10 options:

The Stem-and-Leaf Diagram below depicts the length of 25 long distance telephone calls for a recently engaged couple separated due to an unexpected business trip.

Please answer the following questions.

When possible enter all answers as integers (0 decimal places)

If it is necessary to enter a non integer number, enter number to 1 decimal place.

Note: There are 25 long distance telephone calls. 2|6 = 26

0 | 2 |

1 | 5 5 |

2 | 2 6 |

3 | 2 6 6 6 7 7 7 8 9 9 |

4 | 3 5 8 |

5 | 3 5 |

6 | 5 7 |

7 | 5 |

8 | 8 |

9 | 0 |

What is the Median time for the long distance phone calls?

What is the range for the long distance phone calls?

How many modes does the data set have?

Enter the modes in the four locations provided.

List the modes in the order they appear in the data set from left to right.

If there are less than 4 modes enter a 0 in place of a modal number.

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