[Solved] You have two datasets:data1 = np.array([10, 12, 14, 16, 18])data2 = np.array([10, 10, 10, 10, 10])Which statement is true about their standard deviation and variance? | NumPy

NumPy - Aggregation Functions

You have two datasets:
data1 = np.array([10, 12, 14, 16, 18])
data2 = np.array([10, 10, 10, 10, 10])
Which statement is true about their standard deviation and variance?

Adata1 has higher variance and standard deviation than data2

Bdata2 has zero variance and standard deviation

Cdata2 has higher variance but lower standard deviation than data1

DBoth datasets have the same variance and standard deviation

Step-by-Step Solution

Solution:

Step 1: Analyze data2 values
All values in data2 are the same (10), so variance and standard deviation must be zero because there is no spread.
Step 2: Analyze data1 values
data1 values vary from 10 to 18, so variance and standard deviation are greater than zero, meaning data1 has higher spread.
Final Answer:
data1 has higher variance and standard deviation than data2 -> Option A
Quick Check:
Constant data variance = 0; varying data variance > 0 [OK]

Quick Trick: Constant data has zero variance and std [OK]

Common Mistakes:

Assuming equal variance for different spread data
Confusing variance with mean
Thinking zero variance means error

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