# Spring 2015, math 130 midterm exam

Spring 2015, Math 130 Midterm Exam

INDEPENDENT STUDY PROJECT

PROBABILITY & STATISTICS PROJECT

Directions.

In this project, you are going to graphically present and calculate statistics of a set of data that you gather. In addition, you will use the data to answer various probability/counting questions. The information below will instruct you on how to gather your data and what you will then do with the data.

The Data.

Collect the ages (in years) of all of your family members (parents, siblings) and extended family members (grandparents, aunts, uncles, cousins). Collect no more than 20 ages (in the case that you have a large family).

Graphically Presenting the Data.

You will present your data in several different ways. Use a separate sheet of paper for each.

1.Make a table that contains the name of the individual, their relation to you and their age.

2.Make a stem-and-leaf plot that displays all the ages in your set of data.

3.Make a stem-and-leaf plot that shows all the ages of males and females “back-to-back”.

4.Make a histogram, that shows the number of individuals in the following age groups:

babies (0 – 1); children (2 – 12); teens (13 – 19); young adults (20 – 29); adults (30 – 69); seniors (70 +)

Statistics.

Calculate and show the following statistics for your data. Show all calculations in a neat and organized manner. Also, include labels for each calculation. Use a separate page for each item.

1.  a. Mean, median, mode, variance and standard deviation age for all data. b. Find quartiles and draw a box-and-whisker plot for all data.

2.  a. Mean, median, mode, variance and standard deviation age for all males. b. Find quartiles and draw a box-and-whisker plot for all males.

3.  a. Mean, median, mode, variance and standard deviation age for all females. b. Find quartiles and draw a box-and-whisker plot for all females.

Probability/Counting.

Using the date your collected, answer the questions that appear on the “Probability/Counting Questions” page. Show all work and answers in he space that is provided.

Other than the probability questions sheet, all work should be done on unlined or graph paper. Each page of the project should appear in the same order as mentioned in this document.

Grading.

Your grade will depend on your completeness, accuracy, neatness, organization, and presentation. This project will have the same weight of the midterm exam mentioned in the syllabus.

Due date: Monday _our project will be due: Monday, May 11th, 2015, at 1:00pm.

Examples

Example Table

 Individual Relationship to Me Age Jane Doe Myself 18 Carol Doe My Mom 42 Bob Doe My Dad 45 Kate Doe My Grandmother (Mom’s side) 73

Example of Work & Work Labeling

Statistics of all males:

Mean:

1. Sum of ages

4 + 9 + 23 + 1 + 35 + 70 = 142

2.  Number of Males: 6

3.Mean age:

142/6 = 24

Median:

1. Ages in order:

1, 4, 9, 23, 35, 70

2.Middles two values: 9 & 23

3.Median:

(9+23)/2 = 16

4. Variance and standard deviation

Box and Whisker Plot for all females:

Median:

1. List all ages in order:

2, 5, 8, 19, 23, 39, 42, 69, 72

2. Median of all ages:

23 Lower Quartile:

1.  List all ages, lower than the median, in order: 2, 5, 8, 19

2.Median of lower ages:

(5 + 8)/2 = 6.5

Upper Quartile:

1.  List all ages, higher than the median, in order: 39, 42, 69, 72

2.Median of higher ages:

(42+69)/2 = 55.5

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