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

The video tutorial explains how to analyze foot length data of 40 adults using a table. It covers identifying the modal class interval and estimating the mean foot length by calculating mid values and using frequency data. The process involves multiplying frequencies by mid values, summing the results, and dividing by the total frequency to find the mean.

What is the modal class interval in the given data?

• 24 ≤ F < 26

• 22 ≤ F < 24

• 18 ≤ F < 20

• 16 ≤ F < 18

Why do we use mid values when estimating the mean from a grouped frequency table?

• To reduce the number of calculations

• To simplify the calculation

• To account for unknown exact measurements within intervals

• To increase the accuracy of the mean

What is the mid value for the interval 18 to 20?

• 20

• 19

• 21

• 18

How is the estimated mean calculated from the frequency and mid values?

• By dividing the total of frequency multiplied by mid values by the total frequency

• By multiplying the total frequency by the total of mid values

• By dividing the total frequency by the total of mid values

• By adding the total frequency to the total of mid values

What is the estimated mean foot length for the given data?

• 20.5

• 21.9

• 22.3

• 23.1