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Univariate statistics - MYP Questionbank | RevisionDojo

Practice Univariate statistics 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

When comparing two distributions using box plots, why is it standard practice to compare the interquartile range ( $\text{IQR}$ ) rather than just the range?

Question 2

A researcher is studying the eye colors of a population. Which of the following statements best describes why the mean cannot be used to summarize this data?

Question 3

A box plot shows a median that is very close to the lower quartile ( $Q_1$ ), and the right whisker is much longer than the left whisker. This distribution is most likely:

Question 4

Consider the mathematical formula for variance:

$\sigma^2 = \frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n}$

If the number of data points $n$ is kept constant, but the individual data values $x_i$ are moved closer to the mean $\bar{x}$ , what is the effect on the value of the variance?

Question 5

In a box-and-whisker plot, the median line is positioned significantly closer to the upper quartile ( $Q_3$ ) than to the lower quartile ( $Q_1$ ). This visual evidence suggests that the middle 50% of the data is:

Question 6

True or False: Because the variance calculation involves squaring the distance of each value from the mean, the resulting value is expressed in the original units of measurement (e.g., meters).

Question 7

When constructing a five-number summary for a raw data set, which of the following steps must be performed before identifying the quartiles?

Question 8

True or False: The three quartiles ( $Q_1, Q_2, Q_3$ ) divide an ordered data set into four equal groups, such that each group contains approximately 25% of the observations.

Question 9

A nutritionist categorizes various breakfast cereals as "Low sugar", "Medium sugar", or "High sugar" based on their nutritional labels. Additionally, they record the exact mass of sugar in grams per $100\text{ g}$ of cereal. Which of the following statements best describes the data types of these two variables?

Question 10

Which of the following statements best explains why the standard deviation is generally preferred over the range when comparing the variability of two large datasets?

Type

Difficulty

Question 1

When comparing two distributions using box plots, why is it standard practice to compare the interquartile range ( $\text{IQR}$ ) rather than just the range?

Question 2

A researcher is studying the eye colors of a population. Which of the following statements best describes why the mean cannot be used to summarize this data?

Question 3

A box plot shows a median that is very close to the lower quartile ( $Q_1$ ), and the right whisker is much longer than the left whisker. This distribution is most likely:

Question 4

Consider the mathematical formula for variance:

$\sigma^2 = \frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n}$

If the number of data points $n$ is kept constant, but the individual data values $x_i$ are moved closer to the mean $\bar{x}$ , what is the effect on the value of the variance?

Question 5

Question 6

True or False: Because the variance calculation involves squaring the distance of each value from the mean, the resulting value is expressed in the original units of measurement (e.g., meters).

Question 7

When constructing a five-number summary for a raw data set, which of the following steps must be performed before identifying the quartiles?

Question 8

True or False: The three quartiles ( $Q_1, Q_2, Q_3$ ) divide an ordered data set into four equal groups, such that each group contains approximately 25% of the observations.

Question 9

Question 10

Which of the following statements best explains why the standard deviation is generally preferred over the range when comparing the variability of two large datasets?

Type

Difficulty

Question 1

When comparing two distributions using box plots, why is it standard practice to compare the interquartile range ( $\text{IQR}$ ) rather than just the range?

Question 2

A researcher is studying the eye colors of a population. Which of the following statements best describes why the mean cannot be used to summarize this data?

Question 3

A box plot shows a median that is very close to the lower quartile ( $Q_1$ ), and the right whisker is much longer than the left whisker. This distribution is most likely:

Question 4

Consider the mathematical formula for variance:

$\sigma^2 = \frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n}$

If the number of data points $n$ is kept constant, but the individual data values $x_i$ are moved closer to the mean $\bar{x}$ , what is the effect on the value of the variance?

Question 5

Question 6

True or False: Because the variance calculation involves squaring the distance of each value from the mean, the resulting value is expressed in the original units of measurement (e.g., meters).

Question 7

When constructing a five-number summary for a raw data set, which of the following steps must be performed before identifying the quartiles?

Question 8

True or False: The three quartiles ( $Q_1, Q_2, Q_3$ ) divide an ordered data set into four equal groups, such that each group contains approximately 25% of the observations.

Question 9

Question 10

Which of the following statements best explains why the standard deviation is generally preferred over the range when comparing the variability of two large datasets?

Univariate statistics Questionbank