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Sampling Methods and Bivariate Data - MYP Questionbank | RevisionDojo

Practice Sampling Methods and Bivariate Data with authentic MYP MYP Standard Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.

Type

Difficulty

Question 1

Which of the following describes a situation where the covariance $s_{xy}$ will definitely be positive?

Question 2

Consider the formula for covariance $s_{xy} = \frac{\sum (x - \bar{x})(y - \bar{y})}{n}$ . If all $y$ -values in a dataset are identical, what will be the resulting value of the covariance?

Question 3

A student is drawing a line of best fit by eye for a set of bivariate data. They suggest that the best technique is to join the first data point to the last data point to ensure the line covers the entire range of the data.

Which of the following is the most appropriate evaluation of this suggestion?

Question 4

The variable $x$ is measured in metres. If the unit of measurement for $x$ is changed to centimetres, what will be the effect on the numerical value of the covariance $s_{xy}$ ?

Question 5

Which statement best describes the objective of 'balancing' points when drawing a line of best fit by eye on a scatter diagram?

Question 6

If the independent variable $x$ is measured in metres (m) and the dependent variable $y$ is measured in seconds (s), what would be the unit of the covariance $s_{xy}$ ?

Question 7

If the majority of data points in a scatter diagram are located in the Top-Left Quadrant (TLQ) and the Bottom-Right Quadrant (BRQ) relative to the mean point $(\bar{x}, \bar{y})$ , what is the most likely sign of the covariance $s_{xy}$ ?

Question 8

If a bivariate dataset results in a covariance of $s_{xy} = -15.4$ , what does this indicate about the linear trend of the variables?

Question 9

A researcher wants to study the opinions of city residents about a new park. They stand at the park entrance at 10:00 AM on a Tuesday and survey the first 50 people they see. What is the most significant source of bias in this method?

Question 10

Which of the following statements is correct regarding the designation of independent and dependent variables in a bivariate study?

Type

Difficulty

Question 1

Which of the following describes a situation where the covariance $s_{xy}$ will definitely be positive?

Question 2

Consider the formula for covariance $s_{xy} = \frac{\sum (x - \bar{x})(y - \bar{y})}{n}$ . If all $y$ -values in a dataset are identical, what will be the resulting value of the covariance?

Question 3

Which of the following is the most appropriate evaluation of this suggestion?

Question 4

The variable $x$ is measured in metres. If the unit of measurement for $x$ is changed to centimetres, what will be the effect on the numerical value of the covariance $s_{xy}$ ?

Question 5

Which statement best describes the objective of 'balancing' points when drawing a line of best fit by eye on a scatter diagram?

Question 6

If the independent variable $x$ is measured in metres (m) and the dependent variable $y$ is measured in seconds (s), what would be the unit of the covariance $s_{xy}$ ?

Question 7

Question 8

If a bivariate dataset results in a covariance of $s_{xy} = -15.4$ , what does this indicate about the linear trend of the variables?

Question 9

Question 10

Which of the following statements is correct regarding the designation of independent and dependent variables in a bivariate study?

Type

Difficulty

Question 1

Which of the following describes a situation where the covariance $s_{xy}$ will definitely be positive?

Question 2

Consider the formula for covariance $s_{xy} = \frac{\sum (x - \bar{x})(y - \bar{y})}{n}$ . If all $y$ -values in a dataset are identical, what will be the resulting value of the covariance?

Question 3

Which of the following is the most appropriate evaluation of this suggestion?

Question 4

The variable $x$ is measured in metres. If the unit of measurement for $x$ is changed to centimetres, what will be the effect on the numerical value of the covariance $s_{xy}$ ?

Question 5

Which statement best describes the objective of 'balancing' points when drawing a line of best fit by eye on a scatter diagram?

Question 6

If the independent variable $x$ is measured in metres (m) and the dependent variable $y$ is measured in seconds (s), what would be the unit of the covariance $s_{xy}$ ?

Question 7

Question 8

If a bivariate dataset results in a covariance of $s_{xy} = -15.4$ , what does this indicate about the linear trend of the variables?

Question 9

Question 10

Which of the following statements is correct regarding the designation of independent and dependent variables in a bivariate study?

Sampling Methods and Bivariate Data Questionbank