Data & Statistics

Front

What is the definition of median in a data set?

Back

The median is the middle value of a data set when it is ordered from least to greatest. If there is an even number of observations, the median is the average of the two middle numbers.

Front

How do you find the mode of a data set?

Back

The mode is the value that appears most frequently in a data set. A data set may have one mode, more than one mode, or no mode at all.

Front

What does it mean for a data set to be symmetric?

Back

A symmetric data set is one where the left and right sides of the distribution are mirror images of each other, indicating that the mean, median, and mode are all equal.

Front

How is the range of a data set calculated?

Back

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

Front

What is a dot plot and how is it used?

Back

A dot plot is a simple visual representation of data where each data point is represented by a dot above a number line. It is used to show the frequency of data points.

Front

What is the difference between mean and median?

Back

The mean is the average of all values in a data set, while the median is the middle value when the data is ordered. The mean can be affected by outliers, whereas the median is more robust.

Front

What is a histogram and how does it differ from a bar graph?

Back

A histogram is a graphical representation of the distribution of numerical data, using bars to show the frequency of data within certain ranges (bins). Unlike a bar graph, the bars in a histogram touch each other.

Front

What is the significance of outliers in a data set?

Back

Outliers are values that are significantly higher or lower than the rest of the data. They can skew the results and affect measures like the mean and standard deviation.

Front

How do you interpret a box plot?

Back

A box plot displays the distribution of a data set based on five summary statistics: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. It helps identify the spread and skewness of the data.

Front

What is the purpose of calculating standard deviation?

Back

Standard deviation measures the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates more spread out values.