Which of the dispersion measures provided is considered the most accurate for distribution comparison? Identify the scale of measurement for the following categorization of clothing: hat, shirt, shoes, pants.

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

Which of the dispersion measures provided is considered the most accurate for distribution comparison? Identify the scale of measurement for the following categorization of clothing: hat, shirt, shoes, pants.
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