Question

ASSIGNMENT 1 · ECON 3060 - 01 Due Date: September 4, 2019

1) The Graduate Management Admission Test (GMAT) is a standardized test used by schools to determine the aptitude of individuals who are applying for MBA programs. The range of the GMAT score is 200-800. Brian has recently taken the exam and scored 720. This is an example of _______ data.

A) nominal B) ordinal C) interval D) ratio

2) A respondent of a survey indicates that she is currently in her junior year at the University of Texas. This is an example of ________ data.

A) nominal B) ordinal C) interval D) ratio

3) Your business statistics class had an exam last week. The average exam score for the class is an example of _________.

A) secondary data

B) qualitative data

C) descriptive statistics D) inferential statistics

4) The following data represent a sample of games won per season by the San Francisco 49ers of the National Football League over an eight-year period.

13 6 8 7 5 7 4 2 Calculate the mean of this sample.

5) There are currently seven statistics classes being taught this semester at Wilmington College. The following data represent the number of students in each class.

20 25 18 32 22 30 28 Calculate the mean of this population.

6) The following table shows the number of absent students over the last 25 classes for a particular course.

Number of Absent Students

Frequency

0

9

1

3

2

4

3

5

4

3

5

1

Calculate the mean number of absent students per class.

7) There are currently seven statistics classes being taught this semester at Wilmington College. The following data represent the number of students in each class.

20 25 18 32 22 30 28 Calculate the variance of this population.

8) The following data represent the time between customer arrivals, in minutes, at a drive-thru for a fast food restaurant.

2410641

Calculate the standard deviation of this sample.

9) There are currently six full-time faculty members in the business department at Neumann University with the following years of teaching experience.

7 2 16 10 7 9

Calculate the standard deviation of this population.

10) The following data shows the number of touchdown passes thrown by Eli Manning, a quarterback for the New York Giants of the National Football League over a six-year period.

24 23 21 27 31 29

Calculate the coefficient of variation for this data.

Answer 1

1) The given data is an example of a ratio data since there is a true value of 0, i.e., a score of 0 implies that the person has score of nothing. Also, since the range of GMAT score is 200-800, it gives a clear idea of the order, interval values and the exact differences between the values.

It cannot be an example of interval data since there is a clear definition of 0. It cannot be an example of ordinal data either since we can exactly quantify the values in the given range. It is not an example of nominal data since the data given is a quantitative value, i.e. the data can be measured.

2) The given data is an example of ordinal data since the educational level can be categorized into different levels although differences between the categories are uneven.

The data cannot be an example of nominal data since there exists a definite order among the values. It cannot be an example of either interval or ratio data since the data is not a quantitative one.

3) The average score of the exam is an example of descriptive statistics since we can use this value to explain or describe the overall score of all the students who took the exam.

4) Given data

Here the number of values is, . Hence the mean of the data is given by,

Therefore, the mean of the sample is 6.5.

5) Given data

Here the number of values is, . Hence the mean of the data is given by,

Therefore, the mean of the population is 25.

6) The given data is as follows

Number of absent students (x)	Frequency(f)
0	9
1	3
2	4
3	5
4	3
5	1
Total	25

The mean of the above data is given as

where n is the total frequency.

Here

and

The mean of the data is given as

Therefore, the mean number of absent students per class is .

7) Given data

The variance of the data is given as

where is the mean of the data.

Here mean of the data is given as

Then,

The variance of the data is given as

The variance of the population is given as 23.7143.