Answer:
- variance = 2 ; standard deviation = 1.41
- variance = 4 ; standard deviation = 2
- variance = 6 ; standard deviation = 2.24
Step-by-step explanation:
1.
mean = 10 + 11 + 12 + 13 + 14 / 5
= 60 / 5
mean = 12
variance (σ²) = (-2)² + (-1)² + 0² + 1² + 2² /5
= 4 + 1 + 0 + 1 + 4 / 5
= 10 / 5
σ² = 2
standard deviation = √2
σ = 1.41
2.
mean = 8 + 8 + 4 + 4 / 4
= 24 / 4
mean = 6
variance (σ²) = 2² + 2² + (-2)² + (-2)² / 4
= 4 + 4 + 4 + 4 / 4
= 16 / 4
σ² = 4
standard deviation = √4
σ = 2
3.
mean = 3 + 5 + 7 + 9 / 4
= 24 / 4
mean = 6
variance (σ²) = (-3)² + (-1)² + 1² + 3² / 4
= 9 + 1 + 1 + 9 / 4
= 20 / 4
σ² = 5
standard deviation = √5
σ = 2.24
