Question

1. The following 10 people have the shown amount of money in their wallets.

Emma	24
Noah	4
Olivia	82
Mason	55
Liam	30
Sophia	30
Isabella	42
Ethan	26
James	15
Charlotte	20

1a. What is the mean amount of money people have in their wallets?

1b. What is the median amount of money people have in their wallets?

1c. What is the mode of the amount of money people have in their wallets?

1d. What is the standard deviation of the amount of money people have in their wallets?

1e. What is the Coefficient of Variation for the amount of money people have in their wallets?

2. Consider the following scores on a mid-term exam.

Emma	60
Noah	75
Olivia	95
Mason	80
Liam	65
Sophia	82
Isabella	75
Ethan	98
James	93
Charlotte	87

2a. What is the mean of the mid-term test scores?

2b. What is the standard deviation of the mid-term test scores?

2c. What is the coefficient of variance for the mid-term tests scores?  

3. Consider the following scores on a final exam.

Emma	85
Noah	90
Olivia	95
Mason	87
Liam	88
Sophia	94
Isabella	92
Ethan	95
James	92
Charlotte	91

3a. What is the mean test score?

3b. What is the standard deviation of the test scores?

3c. Compare the standard deviation and coefficient of variance from the Mid-Term Exam (problem 2) to the standard deviation and coefficient of variance from the Final Exam. What does this tell you about the scores on the mid-term compared to the final?

4. Consider the following data of the 9 artists with the most #1 Hits on the Billboard charts (Hot 100 era).

The Beatles	20
Mariah Carey	18
Michael Jackson	13
Rihanna	13
Madonna	12
The Supremes	12
Whitney Houston	11
Stevie Wonder	10
Janet Jackson	10

4a. What is the mean number of #1 hits for these artists?

4b. What is the median number of #1 hits for these artists?

4c. What is the standard deviation of #1 hits for these artists?

4d. What is the coefficient of variation of #1 hits for these artists?

5. Consider the following data from the United Nations Office on Drugs and Crime regarding homicide rates per 100,000 people in the following rather haphazardly chosen countries.

Australia	1.0
Canada	1.4
China	1.0
Cuba	4.5
Czech Republic	1.0
Israel	2.0
Jamaica	52.6
Japan	0.4
Norway	0.6
Pakistan	7.6
Switzerland	0.7
United States of America	4.7

5a. What is the mean number homicides per 100,000 people in these countries?

5b. What is the median number of homicides per 100,000 people in these countries?

5c. Why are the mean and the median so different in this dataset? In this case, which is more indicative of most people’s experiences across these countries, the mean or the median and why?

Answer 1