GCSE Secondary Maths Age 13-17 - Probability & Statistics: Histogram - Explained

The video tutorial explains how to interpret a histogram showing cyclists' race times. It covers the concept of frequency density and how the area of bars relates to frequency. The tutorial provides a step-by-step method to estimate the number of cyclists who took more than 105 minutes to finish the race, explaining the calculation process and why the result is an estimate due to grouped data. It also discusses the allocation of marks for the question and compares it to another question in terms of difficulty.

What does a histogram represent in terms of data?

• The area of the bars is proportional to the frequency.

• The width of the bars represents the frequency.

• The height of the bars represents the frequency.

• The color of the bars represents the frequency.

How many small squares represent one cyclist in the histogram?

• 20 small squares

• 15 small squares

• 10 small squares

• 5 small squares

What is the estimated number of cyclists who took more than 105 minutes to finish the race?

• 15 cyclists

• 20 cyclists

• 18 cyclists

• 22 cyclists

Why is the estimate for the number of cyclists not exact?

• The time intervals are too large.

• The frequency density is incorrect.

• The data is grouped, so exact values are not available.

• The histogram is not drawn to scale.

How many marks were allocated for determining how many small squares represented one cyclist?

• Two marks

• Four marks

• One mark

• Three marks