Assessment One: Data Analytics
Problem 1 (5%)
Indicate whether the following statements are true or false:
A sample size should not exceed 100 observations, otherwise it will be called a
True
False
The difference between the midpoints of two consecutive classes is equal to the number of classes.
True
False
The line segments in a cumulative frequency polygon can be either increasing or decreasing depending on the given data.
True
False
The variance is considered the most accurate measure of dispersion for distribution comparison because it is calculated using the squared values.
True
False
In a group of 70 scores, if the largest score is increased by 20 points the mean of the scores will increase by 3.5 points.
True
False
Problem 2 (15%)
Choose the best answer:
Which of the following represents a sample?
Number of cups of coffee served at Starbucks Marbella
Total registered voters in Spain
All the Colombians working abroad
None of the above
Fifty mouses were chosen from a shelter containing 500 animals to test a new What is the sample?
The 50 selected mouses
The 500 animals in the shelter
The 550 animals
All the mouses in the shelter
Which of the following is a discrete variable?
Depth of the pool measured in meters
Numbers of newborn kittens
Number of hours spent on social media
None of the above
The amount of “dollars” stuck in non-US banks is a:
Quantitative discrete variable
Qualitative discrete variable
Quantitative continuous variable
Qualitative continuous variable
Identify the scale of measurement for the following categorization of clothing: hat, shirt, shoes, pants.
Nominal level of data
Ordinal level of data
Ratio level of data
Interval level of data
As part of a test preparation course, students are asked to take a practice version of the Graduate Record Examination (GRE). This is a standardized test, and scores can range from 200 to 800. The appropriate scale of measurement is:
Nominal
Ordinal
Interval
Ratio
Children in elementary school are evaluated and classified as non-readers (0), beginning readers (1), grade level readers (2), or advanced readers (3). The classification is done to place them in reading groups.
Ratio
Nominal
Interval
Ordinal
Problem 3 (25%)
A sample of 20 women were asked about the symptoms they felt after taking the COVID19 vaccine. Below are their responses:
| Headaches | Stroke | Fever | Nausea | Tiredness | Nausea |
| Headaches | Tiredness | Cough | Fever | Tiredness | Cough |
| Skin Rash | Tiredness | Cough | Fever | Nausea | Tiredness |
| Cough | Headaches |
The “Symptoms” is a variable, thus it should be organized into a .
Qualitative, frequency distribution
Qualitative, frequency table
Quantitative, frequency distribution
Quantitative, frequency table
Based on the above data, the relative frequency of “tiredness” is:
4
5
2
25
If two more women were added to the survey and if they both had a stroke after taking the vaccine, the relative frequency of this symptom would be:
1
15
136
09
Based on the above data, the angle that corresponds to the “Fever” category is:
15
54
8
58
The best graphical presentation for this data is:
Bar Graph
Histogram
Frequency polygon
Cumulative histogram or cumulative frequency polygon
Problem 4 (25%)
The raw data below represents the rate per hour of a sample of doctors in Paris. This data needs to be represented in a frequency distribution.
113 189 186 174 103 125 41 81 47 156 37 89
90 141 126 28 58 172 75 61
What interval for each class do you suggest?
5
30
33
32
The relative frequency of doctors who earn between 160 USD and 193 USD per hour is:
2
20%
1
25
The percentage of doctors who earn less than 127 USD per hour is:
10%
20%
70%
80%
The percentage of workers who earn more than 160 USD per hour is:
80%
20%
10%
16
The first point of a cumulative frequency polygon that represents this data is:
X = 61 and Y = 5
X = 28 and Y = 5
X = 28 and Y = 0
X = 5 and Y = 0
Problem 5 (30%)
The numbers that follow represent the number of paint gallons (in thousands) produced each month by a sample of 10 companies.
7 20 10 4 18 12 7 14 6 22
The mean number of paint gallons is:
7
12
120
33
The mode of this distribution is:
15
2
7
There is no
The median of this distribution is:
10
11
12
15
The distribution of data for the number of paint gallons produced is:
Positively
Negatively
Symmetrical
Cannot be
The range is:
26
18
15
29
The variance of this distribution is:
8
98
78
31
The standard deviation of this distribution is:
8
98
78
31
Which of the dispersion measures is considered the most accurate for distribution comparison?
The range because it is the simplest
The standard deviation because it includes all
The variance because it is calculated using the squared
All measures are equally
