MYP Standard Mathematics Topic 8.1 Univariate…

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?

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:

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).

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.

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?

Eye color is categorical data, so arithmetic operations are not meaningful.

The sample size is likely too small to calculate a mean.

The distribution of eye colors is always perfectly symmetrical.

The data is numerical but discrete, and the mean requires continuous data.

Perfectly symmetrical

Uniformly distributed

One is categorical, and one is numerical continuous

Both are numerical discrete

Both are categorical

One is categorical, and one is numerical discrete

MYP Standard Mathematics 8.1 Univariate Statistics Questionbank

MYP Standard Mathematics 8.1 Univariate Statistics Questionbank

MYP Standard Mathematics 8.1 Univariate Statistics Questionbank

MYP Standard Mathematics 8.1 Univariate Statistics Questionbank

MYP MYP Standard Mathematics Topic 8.1 Univariate Statistics Questionbank