Algebra 3 Semester 1 Final Exam Review

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is a measure of statistical dispersion, representing the range between the first quartile (Q1) and the third quartile (Q3) in a data set. It indicates the middle 50% of the data.

Front

How do you determine the line of best fit in a scatterplot?

Back

The line of best fit is determined by minimizing the distance between the line and all the points in the scatterplot, often using the least squares method to find the best linear approximation of the data.

Front

What does a scatterplot represent in data analysis?

Back

A scatterplot visually represents the relationship between two quantitative variables, showing how one variable may affect or correlate with another.

Front

What is the mode in a data set?

Back

The mode is the value that appears most frequently in a data set. It is a measure of central tendency that is particularly useful for categorical data.

Front

What does the equation T = 80m + 22 represent in a real-world context?

Back

This equation represents the total cost T in dollars for m months of gym membership, where 80 is the monthly fee and 22 is a one-time service fee for joining the gym.

Front

What is the difference between mean and median?

Back

The mean is the average of a data set, calculated by summing all values and dividing by the number of values. The median is the middle value when the data set is ordered from least to greatest.

Front

How do you calculate the mean of a data set?

Back

To calculate the mean, sum all the values in the data set and divide by the total number of values.

Front

What is a linear relationship in mathematics?

Back

A linear relationship is a relationship between two variables that can be graphically represented as a straight line, indicating a constant rate of change.

Front

What is the purpose of calculating measures of central tendency?

Back

Measures of central tendency (mean, median, mode) summarize a data set by identifying the center point or typical value, helping to understand the overall distribution.

Front

What is the significance of the line of best fit in data analysis?

Back

The line of best fit helps to predict values and understand the relationship between variables by providing a visual representation of trends in the data.