What is Central Tendency measures? Describe mean, median, mode, variance, Standard Deviation.
SOLUTION....
1. Mean
Definition: The arithmetic average of all values in a dataset.
Python Example:
import statistics
data = [10, 15, 20, 20, 25, 30, 35]
mean_value = statistics.mean(data)
print("Mean:", mean_value) # Output: 22.142857142857142
2. Median
Definition: The middle value when the data is arranged in ascending order.
Python Example:
median_value = statistics.median(data)
print("Median:", median_value) # Output: 20
3. Mode
Definition: The value that occurs most frequently in a dataset.
Python Example:
mode_value = statistics.mode(data)
print("Mode:", mode_value) # Output: 20
4. Variance
Definition: Measures how far the values are spread out from the mean.
Python Example:
variance_value = statistics.variance(data)
print("Variance:", variance_value) # Output: 84.57142857142857
5. Standard Deviation
Definition: The square root of variance; indicates the average distance of each value from the mean.
Python Example:
std_dev = statistics.stdev(data)
print("Standard Deviation:", std_dev) # Output: 9.196