Understanding Data Representation and Probability

This GCSE revision video covers key statistics topics, including tally charts, frequency trees, two-way tables, pictograms, bar charts, frequency polygons, line graphs, pie charts, probability, scatter graphs, stem-and-leaf diagrams, averages, range, Venn diagrams, tree diagrams, and samples. The video provides a quick recap of each topic, offering tips and examples to help students prepare for their exams.

What is the correct way to mark the fifth item in a tally chart?

• Draw a horizontal line

• Draw a vertical line

• Draw a circle around the previous four vertical lines

• Draw a diagonal line across the previous four vertical lines

In a frequency tree, if there are 40 people in total and 23 had morning appointments, how many had evening appointments?

• 63

• 40

• 23

• 17

What does each circle represent in a pictogram if the key states that one circle equals 4 hours?

• 2 hours

• 4 hours

• 6 hours

• 8 hours

When reading a bar chart, what does the vertical axis typically represent?

• Categories

• Percentage

• Time

• Frequency or number of items

How do you find the angle for a sector in a pie chart if the total frequency is 90?

• Divide 360 by the total frequency and then multiply by the individual frequency

• Add the frequency to 360

• Multiply the frequency by 90

• Subtract the frequency from 360

On the probability scale, what does a probability of 0.5 represent?

• Unlikely

• Certain

• Impossible

• Even chance

If the probability of an event happening is 0.28, what is the probability of it not happening?

• 1.28

• 0.72

• 0.50

• 0.28

How do you calculate the relative frequency?

• Number of successes plus number of trials

• Number of successes divided by number of trials

• Number of trials divided by number of successes

• Number of trials minus number of successes

In a stem and leaf diagram, what does the 'stem' represent?

• The decimal place of the data

• The units place of the data

• The tens place of the data

• The hundreds place of the data

What does 'A ∪ B' represent in a Venn diagram?

• Not A

• Not B

• A or B or both

• A and B