Statistics Worksheet
(Answers Below)
1) A new menu is being introduced at a local pub and the owner will make her decisions based on a few questions asked to a representative sample of her clients. To collect her information, which of the following did he use?
a) Census
b) Survey / Poll
c) Study
Why? ____________________________________________________________________________________________________________________________________________________________________________________
____________________________________________________________________________________________________________________________________________________________________________________
____________________________________________________________________________________________________________________________________________________________________________________
2) The Centre Director of Place Cartier will conduct a poll with all the students registered in the FALL 2012 semester regarding smoking on the grounds. Give three characteristics that must be met for sample group to be representative of this popuation.
1st characteristic: ____________________________________________________________________________________________________________________________________________________________________________________
2nd Characteristic: ____________________________________________________________________________________________________________________________________________________________________________________
3rd Characteristic: ________________________________________________________________________________________________________________________________________________________________________
3) The owner of a local bakery would like to conduct a survey inquiring about his new chocolate danish. He decides to hand out free samples on Thursday afternoons, between 1-5pm to all women who come in to his bakery. He gives them each a small taste and asks them "if this is the best danish in the world"?
Find 3 sources of bias.
1st source: ____________________________________________________________________________________________________________________________________________________________________________________
2nd source: ____________________________________________________________________________________________________________________________________________________________________________________
3rd source: ____________________________________________________________________________________________________________________________________________________________________________________
4) A movie theater owner wants to commission a survey to determine what proportion of his theaters should be equipped with air conditioning. What size sample would be need if he wants to obtain a result with a margin of error of 2%?
5) A beer company has come up with a new flavor of beer. The company manager decides to ask 1000 clients whether of not they like this new blend. What will the margin of error of this survey's results?
6) Favorite TV Shows Frequency
Glee 12
Friends 6
Oprah 11
Ellen 9
Breaking bad 4
Sons of Anarchy 10
In what interval do "Ellen" fans fall into, taking into consideration a margin of error of +/-2.5%?
7) Grades on Math Exam (%)
44, 52, 55, 60, 60, 64, 70, 70, 70, 72, 73, 77, 77, 78, 79, 84, 88, 88, 89, 91, 92, 94, 97.
a) Calculate the mean of this data.
b) Calculate the median of this data.
c) What is the mode of this data?
d) What is the range of this data?
e) What is the quintile rank of a grade of 70%?
f) What is the percentile rank of a grade of 88%?
g) What grade represents the 30th percentile?
8) Age of Kids in Camp Frequency
[0-3[ 11
[3-6[ 15
[6-9[ 17
[9-12[ 12
[12-15[ 13
a) What is the mean of this distribution?
b) What is the median of this distribution?
c) What is the modal-class of this distribution?
Answers:
1) Survey/ Poll: Since they are not targeting her entire clientel
2) 1st: A proportional amount of boys and girls
2nd: A propotional amount of students of all ages
3rd: A proportional number of students from all classes
3) 1st: Questioning - No one person has tried all danishes around the world
2nd: Day of week - Why thursdays only?
3rd: Gender - Why only women?
4) 2401 people
5) +/-3%
6) [14.8%-19.8%]
7) a) 75%
b) 77%
c) 70%
d) 53%
e) 4th Quintile
f) 74th Percentile
g) 92%
8) a) 7.5 years old
b) 7.5 years old
c) [6-9[ years old
(Answers Below)
1) A new menu is being introduced at a local pub and the owner will make her decisions based on a few questions asked to a representative sample of her clients. To collect her information, which of the following did he use?
a) Census
b) Survey / Poll
c) Study
Why? ____________________________________________________________________________________________________________________________________________________________________________________
____________________________________________________________________________________________________________________________________________________________________________________
____________________________________________________________________________________________________________________________________________________________________________________
2) The Centre Director of Place Cartier will conduct a poll with all the students registered in the FALL 2012 semester regarding smoking on the grounds. Give three characteristics that must be met for sample group to be representative of this popuation.
1st characteristic: ____________________________________________________________________________________________________________________________________________________________________________________
2nd Characteristic: ____________________________________________________________________________________________________________________________________________________________________________________
3rd Characteristic: ________________________________________________________________________________________________________________________________________________________________________
3) The owner of a local bakery would like to conduct a survey inquiring about his new chocolate danish. He decides to hand out free samples on Thursday afternoons, between 1-5pm to all women who come in to his bakery. He gives them each a small taste and asks them "if this is the best danish in the world"?
Find 3 sources of bias.
1st source: ____________________________________________________________________________________________________________________________________________________________________________________
2nd source: ____________________________________________________________________________________________________________________________________________________________________________________
3rd source: ____________________________________________________________________________________________________________________________________________________________________________________
4) A movie theater owner wants to commission a survey to determine what proportion of his theaters should be equipped with air conditioning. What size sample would be need if he wants to obtain a result with a margin of error of 2%?
5) A beer company has come up with a new flavor of beer. The company manager decides to ask 1000 clients whether of not they like this new blend. What will the margin of error of this survey's results?
6) Favorite TV Shows Frequency
Glee 12
Friends 6
Oprah 11
Ellen 9
Breaking bad 4
Sons of Anarchy 10
In what interval do "Ellen" fans fall into, taking into consideration a margin of error of +/-2.5%?
7) Grades on Math Exam (%)
44, 52, 55, 60, 60, 64, 70, 70, 70, 72, 73, 77, 77, 78, 79, 84, 88, 88, 89, 91, 92, 94, 97.
a) Calculate the mean of this data.
b) Calculate the median of this data.
c) What is the mode of this data?
d) What is the range of this data?
e) What is the quintile rank of a grade of 70%?
f) What is the percentile rank of a grade of 88%?
g) What grade represents the 30th percentile?
8) Age of Kids in Camp Frequency
[0-3[ 11
[3-6[ 15
[6-9[ 17
[9-12[ 12
[12-15[ 13
a) What is the mean of this distribution?
b) What is the median of this distribution?
c) What is the modal-class of this distribution?
Answers:
1) Survey/ Poll: Since they are not targeting her entire clientel
2) 1st: A proportional amount of boys and girls
2nd: A propotional amount of students of all ages
3rd: A proportional number of students from all classes
3) 1st: Questioning - No one person has tried all danishes around the world
2nd: Day of week - Why thursdays only?
3rd: Gender - Why only women?
4) 2401 people
5) +/-3%
6) [14.8%-19.8%]
7) a) 75%
b) 77%
c) 70%
d) 53%
e) 4th Quintile
f) 74th Percentile
g) 92%
8) a) 7.5 years old
b) 7.5 years old
c) [6-9[ years old