Statistical Concepts and Interpretations

Front

Interpret the following scatterplot for strength and direction: What does a 'Negative Weak' correlation indicate?

Back

A 'Negative Weak' correlation indicates that as one variable increases, the other variable tends to decrease slightly, but the relationship is not strong.

Front

What can you conclude from the distributions of boys' and girls' heights if the girls have a larger median and a larger range?

Back

This indicates that, on average, girls are taller than boys, and there is more variability in the heights of girls compared to boys.

Front

Identify the sampling method: A community college student interviews the first 100 students to enter the building to determine the percentage of students that own a car.

Back

Convenience sampling is used here, as the sample is taken from those who are easiest to reach.

Front

What is the theoretical probability of pulling a red marble from a bag containing 3 red, 2 blue, and 4 yellow marbles?

Back

The theoretical probability of pulling a red marble is 3/9 or 1/3.

Front

Probability can be expressed as a number between _____ and _____.

Back

0 and 1.

Front

Define 'scatterplot'.

Back

A scatterplot is a graphical representation of two variables, showing the relationship between them using points on a Cartesian plane.

Front

What does a 'Positive Strong' correlation in a scatterplot indicate?

Back

A 'Positive Strong' correlation indicates that as one variable increases, the other variable also increases significantly.

Front

Explain the concept of 'median' in a data set.

Back

The median is the middle value when the data set is ordered from least to greatest; it divides the data into two equal halves.

Front

What is the difference between 'range' and 'interquartile range'?

Back

Range is the difference between the highest and lowest values in a data set, while interquartile range is the difference between the first quartile (Q1) and the third quartile (Q3), representing the middle 50% of the data.

Front

Define 'theoretical probability'.

Back

Theoretical probability is the likelihood of an event occurring based on all possible outcomes, calculated as the number of favorable outcomes divided by the total number of outcomes.