Cumulative Frequency Diagrams and Box & Whisker Plots

The video tutorial covers cumulative frequency diagrams and box and whisker plots. It explains how to calculate cumulative frequencies, plot cumulative frequency diagrams, and use them to estimate the median and interquartile range. The tutorial also introduces box and whisker plots, highlighting their use in summarizing data distribution. Key concepts include understanding cumulative frequency, plotting techniques, and interpreting data through visual summaries.

What is the primary purpose of a cumulative frequency diagram?

• To display individual data points

• To estimate values across a range of grouped data

• To calculate the mean of a data set

• To show the mode of a data set

When plotting a cumulative frequency diagram, where should the cumulative frequency be plotted?

• At the start of each interval

• At the end of each interval

• At the average of each interval

• At the midpoint of each interval

How is the median estimated using a cumulative frequency diagram?

• By finding the maximum frequency

• By taking 50% of the total frequency

• By identifying the mode

• By calculating the average of all frequencies

What does the interquartile range represent in a data set?

• The sum of all frequencies

• The average of all data points

• The range of the middle 50% of the data

• The difference between the highest and lowest values

In a box and whisker plot, what does the line inside the box represent?

• The median of the data

• The mode of the data

• The mean of the data

• The range of the data

What do the 'whiskers' in a box and whisker plot represent?

• The interquartile range

• The average value

• The highest and lowest values

• The median value

Which of the following is NOT a component of a box and whisker plot?

• Mean

• Upper quartile

• Median

• Lower quartile