Set 7 Data & Statistics Summative Review 2024-25

Front

What is the difference between qualitative and quantitative data?

Back

Qualitative data describes characteristics or qualities (e.g., colors, names), while quantitative data represents numerical values that can be measured (e.g., age, height).

Front

What is a dot plot and how is it used in statistics?

Back

A dot plot is a simple graphical display that uses dots to represent the frequency of data points along a number line, helping to visualize the distribution and spread of data.

Front

What does IQR stand for and how is it calculated?

Back

IQR stands for Interquartile Range, which is calculated as Q3 (upper quartile) minus Q1 (lower quartile). It measures the spread of the middle 50% of the data.

Front

What is the significance of the upper quartile (Q3) in a data set?

Back

The upper quartile (Q3) is the value that separates the highest 25% of the data from the rest, indicating the threshold above which the top quarter of the data points lie.

Front

What type of data display is a pie chart and when is it used?

Back

A pie chart is a circular statistical graphic divided into slices to illustrate numerical proportions. It is used to represent categorical data and show the relative sizes of parts to a whole.

Front

How do you determine which vehicle type has a larger spread in a dot plot?

Back

To determine which vehicle type has a larger spread, compare the range (difference between the maximum and minimum values) or visually assess the distribution of the data points in the dot plot.

Front

What is the purpose of using quartiles in data analysis?

Back

Quartiles divide a data set into four equal parts, allowing for the analysis of data distribution, spread, and identifying outliers.

Front

What is the definition of a 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 values.

Front

What is the role of a histogram in data representation?

Back

A histogram is a graphical representation of the distribution of numerical data, showing the frequency of data points within specified ranges (bins). It helps visualize the shape and spread of the data.

Front

What does it mean for data to be skewed?

Back

Data is skewed when it is not symmetrically distributed, meaning one tail is longer or fatter than the other. Positive skew has a longer right tail, while negative skew has a longer left tail.