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

The video tutorial explains how to draw and verify a histogram using frequency density. It covers the calculation of frequency density, plotting the histogram, and verifying its correctness. Additionally, it demonstrates how to estimate the median from grouped data, emphasizing the importance of understanding frequency density and class width.

What does a frequency of 13 indicate in the context of the data set?

• 13 cars had a speed less than 90 km/h.

• 13 cars had a speed exactly 100 km/h.

• 13 cars had a speed between 90 and 100 km/h.

• 13 cars had a speed greater than 100 km/h.

How is frequency density calculated?

• Class width divided by frequency.

• Frequency divided by class width.

• Frequency multiplied by class width.

• Frequency plus class width.

What is the purpose of plotting a histogram?

• To find the mean of the data set.

• To determine the mode of the data set.

• To visualize the distribution of data frequencies.

• To calculate the total number of data points.

What is verified by checking the area of the bars in a histogram?

• The accuracy of the frequency densities.

• The total number of data points.

• The range of the data set.

• The correctness of the histogram.

What is the interval where the median lies in this data set?

• 110 to 120 km/h

• 105 to 110 km/h

• 100 to 105 km/h

• 90 to 100 km/h

How is the median estimated from the histogram?

• By summing all frequency densities.

• By finding the middle value of the raw data.

• By calculating the mean of all frequencies.

• By identifying the interval containing the median and interpolating.

What is the estimated median speed in kilometers per hour?

• 110 km/h

• 108.33 km/h

• 107 km/h

• 105 km/h