statistics homework

Instructions:

All the tasks calculations on this assignment must be shown and completed by hand. Do not use a computer to generate graphic representations.

Questions

1. Rita results want to do some research on how many times people exercise during the recent Christmas holidays. Rita is working for the wellness PIE campaign. She suspects that people ate a lot of chocolate and other delicious over the holidays, and forgot about the exercising. She believes that a majority of the people actually did not exercise. Nevertheless, her intent is to gather information to present in the Wellness campaign Committee before the upcoming Easter celebrations. The committee has said they will want to develop an Easter campaign that encourages people to exercise during Easter, but the committee needs data from the Christmas to help follow throw on it idea.

Rita collects data from individuals and presents it in the following table

Number of times people exercised during the holidays	Number of people who indicated the exercised
1-5	45
6-10	58
11-15	25
16-20	15

a) Can you present Rita’s results with a frequency table of her data?

b) Can you please tell Rita which graph you should use to represent her data to the Committee, and provide her with 2 reasons why you should use that particular type of graph?

c) Please prepare your chosen graph for Rita

d) Provide Rita with an interpretation of the graph you made

2. Sam statistics is working for the department of seniors. Minister Mundy wants to decide whether or not she should support the ongoing “stay active , stay well” program for 2016.the program was set up in two communities in last September 2015 to encourage seniors to curry out activities for which they were contributing to their communities.

Sam presents his boss with the following data from two communities, West Isle and East Isle. In each one, seniors have been keeping track of when they have been actively contributing to their respective communities. Sam has compiled the data below.

Sam wants some help to understand the data better. Minister Mundy tells him she wants the data presented in one graph, so she can compare the activities in two communities .The minister also wants to have some understanding of the proportion of seniors involved. So , she asks Sam to also provide her with the number of activities at which 80 percent of the people contributed.

Can you help Sam to present the information that minister wants. Please make sure you take all the steps necessary. From organizing your data to providing an interpretation for Sam and for the minister?

Data collected by Sam statistics

Number of seniors from west Isle community	Number of seniors from East Isle community	Number of contributing activities
2	3	0
5	5	1
8	6	2
10	8	3
12	8	5
10	10	7
5	12	8
3	8	9
3	6	10
2	5	11
1	1	12 or more

Important note: this is assignment to be completed using correct grammar and spelling that means that full sentences are expected when responding to the question. Please include a title page and a staple in the upper-left-hand corner of the assignment . Students are to work in pairs on this assignment.

3. The prince Edward island Government has hand a request from health Canada , in Ottawa, for information pertaining to the coast of islanders leaving the Island for complex health care procedures, for the past 25 years , 1990-2015 .the PEI government has asked for your help to organize and analyze the data on these individuals and the costs of sending people off-island.

Due to ethics, the department cannot give you individual data , but did give you the following grouped data:

Table 3:

Cost of complex health care (in thousand)	Number of each Cost category
20.0-23.0	61
24.0-27.0	56
28.0-31.0	52
32.0-35.0	39
36.0-39.0	15
40.0-43.0	0
44.0-47.0	0
48.0-51.0	0
52.0-55.0	5

The PIE government would like the following information

a) The average and the standard deviation of the cost for individuals to leave for complex health care (8marks)

b) In your opinion, which measure of central tendency is the best one for representing this particular distribution? Why would you suggest using it ?(3 marks )

c) Can you compute the measure you identified in B) so that , in the next meeting, you can tell the PEI government more about this measure of central tendency (6 marks )

4. The Canadian council of social development (CCSD) has the following poverty information on males and females in PEI

Table 4:

Gender	Population PEI	Designation Status: Poor
Males	64700	8500
Females	66800	10800

a) Calculate the mean poverty rate for gender on PEI. (3 Marks)

b) Calculate the median poverty rate for gender on PEI. (3 Marks)

Note: marks are reserved for presentation (5 Marks)and spelling and grammar ( 5 marks). Please double space the written part of your assignment and put one staple in the upper left- hand corner ( no pencil clip , considering that you would not hand in a paper clipper presentation to the secretariat or to the minister).

Please place all parts to all questions in the order that they should appear. Do not place some parts in appendices at the end of the assignment. In general as soon as a table (or a graph) is presented, there should be a written interpretation to accompany it. This means that , if you have a table you want to include for question1, that table should appear with question one.

1. The women =s Canadian international world hockey team has the following goals scored againist them for each of the games played so far this year:

Table 1:

6,4,5,4,2,2,3,5,8,5,1,2,2,2,2,0,10,1,2,2,2,3,4,2,3

The coach would like to know the following about her team=s efforts this past year:

a) On average, how the team is doing – can you help her out ?(2 marks )

b) What is the median goals scored against them (4 marks)

c) What are the most frequently occurring goals scored against throughout the season(she forgot its name, tell her what it is and give her the answer(s)) (2mks)

d) How disperse is their goal scoring against for this year. (6 marks)

e) She wants to compare this year=s team scoring records to last year=s. Last year=s team had a standard deviation of 1.0 for goal scoring against, with a mean of 4.5.In which year would you say the team is doing better? Why? (4 marks)

f) She examines the original data and wants to know, if she removed the values 8 and 10,what would the mean and standard deviation look like. Provide her with a brief explanation as to why there is a difference between the two sets of results.(4mks)

2. The following data were presented to the seniors secretariat to describe the number of times seniors exercise in a month for the fall and the winter month of 2016 and 2011.

Table 2:

2015	35,30,45,40,40,45,43,26
2016	40,45,40,42,40,40,35,40

a) The senior=s Secretariat has requested a summary report from you for his meeting on Friday. He asked you to include a statement on which of the two years the distribution was the most homogeneous. Can you help him to calculate the relevant statistics to provide him evidence of which year is the most homogeneous? (8 marks )

Multiple choice

Which of the following are considered statistics?

a) Rfi from the participants in the population

b) Fi from the sample of participants

c) Mean and median from the sample

d) (b) and (c)

Fill the blanks

A …………….. Provides a distribution of variable’s value

The bars on a histogram are represented as ………………… because they represent data that are continuous

The number of participants from a sample are represented by ……………………… , while the number of participants from a population are represented by ………………………………….

Percentage in frequency table are also known as ……………………….. Frequencies

Short answer process

How does one calculate the a mid-x value,? Please discuss the process

After one calculates a mean what are the four steps one needs to curry out to calculate a variance?

1.

2.

3.

4.

When are data considered homogenous?

Symbols

The meaning of each of the following symbols?

∑x =

n =

fi =