The minimum number of dogs with a mass over 24 kg is 21, determined from the cumulative frequency at 20 ≤ x < 30 kg. The maximum number is 27, representing the total cumulative frequency in the dataset.
To find the minimum and maximum number of dogs with a mass of more than 24 kg, we need to analyze the cumulative frequency distribution.
a) Minimum Number of Dogs with Mass > 24 kg:
To find the minimum, we consider the cumulative frequency just before the mass class where 24 kg falls, which is the cumulative frequency for the 20 ≤ x < 30 kg class.
Minimum number of dogs = 21 (cumulative frequency for 20 ≤ x < 30 kg)
b) Maximum Number of Dogs with Mass > 24 kg:
To find the maximum, we consider the total number of dogs in the dataset.
Maximum number of dogs = 27 (total cumulative frequency)
Therefore, the minimum number of dogs with a mass of more than 24 kg is 21, and the maximum number is 27.