Math 1 Foundation (Unit 1 Review)

Front

What is a box plot?

Back

A box plot is a graphical representation of a dataset that shows its minimum, first quartile (Q1), median, third quartile (Q3), and maximum values. It helps visualize the distribution and identify outliers.

Front

What does IQR stand for and what does it represent?

Back

IQR stands for Interquartile Range. It represents the range of the middle 50% of a dataset, calculated as Q3 - Q1.

Front

How do you calculate the range of a dataset?

Back

The range is calculated by subtracting the smallest value from the largest value in the dataset.

Front

What is the median in a dataset?

Back

The median is the middle value when the data is arranged in ascending order. If there is an even number of observations, the median is the average of the two middle numbers.

Front

What is a histogram?

Back

A histogram is a graphical representation of the distribution of numerical data, showing the frequency of data points within specified intervals (bins).

Front

How can you find the total number of students spending less than a certain amount of time using a box plot?

Back

You cannot determine the exact number of students from a box plot; it only provides summary statistics. A histogram can show frequency counts.

Front

What does it mean if a box plot has a long whisker on one side?

Back

A long whisker indicates that there is a larger spread of data on that side, suggesting the presence of outliers or a skewed distribution.

Front

What is the significance of the middle 50% in a box plot?

Back

The middle 50% is represented by the IQR and indicates where the central portion of the data lies, providing insight into the data's variability.

Front

How do you interpret the intervals in a histogram?

Back

Intervals in a histogram represent ranges of values, and the height of each bar indicates the frequency of data points within that range.

Front

What is the purpose of using a box plot?

Back

Box plots are used to summarize data, compare distributions, and identify outliers in a dataset.