Algebra 1 Statistics

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is a measure of statistical dispersion, calculated as the difference between the third quartile (Q3) and the first quartile (Q1). It represents the range of the middle 50% of the data.

Front

How do you calculate the interquartile range (IQR)?

Back

To calculate the IQR, first find the first quartile (Q1) and the third quartile (Q3) of the data set. Then, subtract Q1 from Q3: IQR = Q3 - Q1.

Front

What is relative frequency?

Back

Relative frequency is the ratio of the number of times an event occurs to the total number of trials or observations. It is often expressed as a percentage.

Front

How do you calculate relative frequency?

Back

To calculate relative frequency, divide the number of occurrences of a specific event by the total number of observations, then multiply by 100 to convert it to a percentage.

Front

What does the slope of a linear equation represent in a real-world context?

Back

In a real-world context, the slope of a linear equation represents the rate of change of the dependent variable with respect to the independent variable.

Front

In the equation y = -2x + 7, what does the slope of -2 indicate?

Back

The slope of -2 indicates that for each hour of mowing, the mower is predicted to use 2 gallons of gas.

Front

What is a quartile in statistics?

Back

A quartile is a type of quantile that divides a data set into four equal parts, with each part containing 25% of the data.

Front

What are the first and third quartiles (Q1 and Q3)?

Back

The first quartile (Q1) is the median of the lower half of the data set, while the third quartile (Q3) is the median of the upper half of the data set.

Front

How many data values are greater than the first quartile (Q1) in a data set of 44 values?

Back

In a data set of 44 values, approximately 33 values are greater than the first quartile (Q1), as Q1 represents the lowest 25% of the data.

Front

What is the purpose of calculating the interquartile range (IQR)?

Back

The purpose of calculating the IQR is to measure the spread of the middle 50% of the data, which helps to identify outliers and understand the variability of the data.