# 2.2 Characteristics Of Data

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• 1.

### The value of a hockey player can be measured in many different ways. Here are four examples: his speed, how hard his shot his, how many goals he has scored, his +/- rating. What is true about these variables?

• A.

Some are qualitative and some are quantitative

• B.

All are quantitative and continuous

• C.

All are qualitative and some are continuous and some are discrete

• D.

All are quantitative and some are continuous and some are discrete

D. All are quantitative and some are continuous and some are discrete
Explanation
The variables mentioned in the question, such as speed, shot strength, goal scored, and +/- rating, are all quantitative because they can be measured and expressed numerically. Additionally, some of these variables, such as speed and shot strength, are continuous as they can take on any value within a certain range. On the other hand, variables like goals scored and +/- rating are discrete as they can only take on specific, separate values.

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• 2.

### The following variables can be associated with a hockey player. Which variable is continuous?

• A.

Number of goals scored

• B.

Colour of stick tape used

• C.

Stride length

• D.

Number of Stanley Cups won

C. Stride length
Explanation
The variable "Stride length" can be considered continuous because it can take on any value within a certain range. It is a measurement of the length of each stride taken by a hockey player while they are skating, and can vary from player to player. In contrast, the other variables mentioned are not continuous. The "Number of goals scored" and "Number of Stanley Cups won" are discrete variables that can only take on whole number values, while the "Colour of stick tape used" is a categorical variable with a limited number of options.

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• 3.

### The following variables can be associated with a hockey player. Which variable is qualitative

• A.

Number of goals scored

• B.

Colour of stick tape used

• C.

Stride length

• D.

Speed of slap shot

B. Colour of stick tape used
Explanation
The variable "Colour of stick tape used" is qualitative because it represents a characteristic or attribute that cannot be measured numerically. It is a categorical variable that describes the type or color of stick tape used by a hockey player.

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• 4.

### An agricultural researcher wishes to study how the price of a new type of crop being grown in 10 counties across the country will vary with the weather. What type of study will be the most appropriate?

• A.

Cross-sectional study that uses a sample of the counties where the crop is grown

• B.

Cross-sectional study that takes a census of the counties where the crop is grown

• C.

Longitudinal study that uses a sample of the counties where the crop is grown

• D.

Longitudinal study that takes a census of the counties where the crop is grown

D. Longitudinal study that takes a census of the counties where the crop is grown
Explanation
A longitudinal study that takes a census of the counties where the crop is grown would be the most appropriate because it allows the researcher to collect data over a period of time and observe how the price of the crop varies with the weather. By taking a census of all the counties where the crop is grown, the researcher can obtain a comprehensive understanding of how the crop price is influenced by different weather conditions across the country. This type of study design would provide more accurate and reliable results compared to a cross-sectional study that uses a sample of counties or takes a census at a single point in time.

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• 5.

### In which scenario is it better to take a sample rather than a census?

• A.

Testing light bulbs being manufactured in a plant to see how long they last

• B.

Determining the termite population in a city

• C.

Both a and b

• D.

Neither a nor b

C. Both a and b
Explanation
It is better to take a sample rather than a census in scenarios where the population is too large or spread out, making it impractical or time-consuming to collect data from every individual. In the given options, both testing light bulbs and determining the termite population require observing a large number of items or organisms, which would be more efficiently done through sampling rather than conducting a census.

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• 6.

### For the following thesis question, which type of study is the most appropriate? Do the grades of student athletes across Canada change over the course of the school year?

• A.

Cross-sectional sample

• B.

Cross-sectional census

• C.

Longitudinal sample

• D.

Longitudinal census

C. Longitudinal sample
Explanation
A longitudinal sample study would be the most appropriate for this thesis question. This type of study involves collecting data from the same group of student athletes over a period of time, in this case, the school year. By tracking and comparing their grades at different points throughout the year, researchers can determine if there are any changes or patterns in their academic performance. This study design allows for a more in-depth analysis of how the grades of student athletes evolve over time.

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• Current Version
• Mar 21, 2023
Quiz Edited by
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• Jan 21, 2014
Quiz Created by
Jensenmath9

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