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

The video tutorial explains how to estimate the mean length of time adults watched TV using grouped data. It covers calculating mid values, total hours, and mean estimation. The tutorial also demonstrates drawing a histogram and calculating frequency density, emphasizing the importance of understanding class width and frequency density in data representation.

What is the purpose of using mid values in estimating the mean for grouped data?

• To determine the range of the data

• To estimate the mean when individual data points are unavailable

• To simplify the calculation process

• To find the exact mean of the data

How do you calculate the total number of hours watched by all adults in the dataset?

• By averaging the mid values

• By multiplying each frequency by its corresponding mid value and summing the results

• By adding up all the mid values

• By dividing the total frequency by the number of groups

What is the formula for frequency density in a histogram?

• Frequency divided by total number of data points

• Class width divided by frequency

• Frequency multiplied by class width

• Frequency divided by class width

Why is it important to calculate frequency density when drawing a histogram?

• To ensure the bars are evenly spaced

• To determine the total number of data points

• To make the histogram visually appealing

• To ensure the area of each bar represents the frequency

What is the class width for the interval 10 to 15?

• 5

• 10

• 5.5

• 15

Which of the following is NOT a step in plotting a histogram?

• Finding the mean of the data

• Drawing bars based on frequency density

• Determining class width

• Calculating frequency density

What is the frequency density for the interval 30 to 50?

• 2.0

• 1.5

• 0.8

• 0.3