Calculate Statistics
You are given a list of
n numbers and your task is to implement a function calculate_statistics that will calculate and return specific statistical measures: the mean, median, and mode.The function should take one positional argument
numbers, which is the list of numbers, and three keyword-only arguments: mean, median, and mode, each with a default value of False. The function should calculate and return only the statistical measures that are set to True. If no statistical measures are requested (all set to False), the function should return an empty dictionary.The output of the function should be a dictionary with the names of the statistical measures as keys and the calculated values as the values. The function should be defined as follows:
def calculate_statistics(numbers, *, mean=False, median=False, mode=False):Input | Output |
calculate_statistics([4, 8, 6, 5, 3, 2, 8, 9, 2], mean=True) | {'mean': 5.222222222222222} |
calculate_statistics([4, 8, 6, 5, 3, 2, 8, 9, 2], median=True) | {'median': 5} |
calculate_statistics([4, 8, 6, 5, 3, 2, 8, 9, 2], mode=True) | {'mode': [2, 8]} |
calculate_statistics([4, 8, 6, 5, 3, 2, 8, 9, 2], mean=True, median=True, mode=True) | {'mean': 5.222222222222222, 'median': 5, 'mode': [2, 8]} |
calculate_statistics([4, 8, 6, 5, 3, 2, 8, 9, 2]) | {} |
calculate_statistics([1, 2], median=True, mean=True, mode=True) | {'mean': 1.5, 'median': 1.5, 'mode': [1, 2]} |
Note: In the case of a multi-modal data set, the function should return all modes in a list, ordered from smallest to largest. If the data set is not multi-modal, the function should return the single mode in a list. If there is no mode, the function should return an empty list as the value for 'mode'.
mean
The mean of a list of numbers is the sum of all the numbers divided by the number of numbers.
median
The median is the middle value when a data set is ordered from least to greatest.
mode
The mode is the number that appears most frequently in a data set.
A data set may have one mode, more than one mode, or no mode at all.
Constraints
Time limit: 2 seconds
Memory limit: 512 MB
Output limit: 1 MB