Data Representations

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 ranges (bins).

Front

What does the median represent in a data set?

Back

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

Front

What is a box-and-whisker plot?

Back

A box-and-whisker plot is a standardized way of displaying the distribution of data based on a five-number summary: minimum, first quartile, median, third quartile, and maximum.

Front

What does it mean if a distribution is skewed to the right?

Back

A right-skewed distribution has a longer tail on the right side, indicating that there are a few higher values that are pulling the mean to the right.

Front

How do you find the number of data points represented in a histogram?

Back

To find the number of data points in a histogram, sum the heights of all the bars, which represent the frequency of data points in each bin.

Front

What is an outlier in a data set?

Back

An outlier is a data point that is significantly different from the other data points in a set, often lying outside the overall pattern.

Front

What is the purpose of using a box-and-whisker plot?

Back

A box-and-whisker plot is used to visually summarize the distribution of a data set, highlighting the median, quartiles, and potential outliers.

Front

What does it mean for a distribution to be symmetric?

Back

A symmetric distribution has a balanced shape, where the left and right sides are mirror images of each other, indicating that the mean and median are equal.

Front

How do you calculate the median of a data set with an even number of values?

Back

To calculate the median of a data set with an even number of values, find the average of the two middle numbers after sorting the data.

Front

What is the first quartile (Q1) in a data set?

Back

The first quartile (Q1) is the median of the lower half of a data set, representing the 25th percentile.