Answer:
Mean = 10
Variance = 30.89
Standard Deviation = 5.56
Step-by-step explanation:
Find the Mean, Variance and Standard deviation
6, 14, 8, 2, 11, 7, 12, 4, 18, 18
Step 1
We rearrange the data and find the Mean
2, 4, 6, 7, 8, 11, 12, 14, 18, 18
Mean = Sum of values/Number of values
= 2 + 4+ 6+ 7+ 8 + 11 + 12 + 14 + 18 +18/10
= 100/10
= 10
Step 2
We find the variance of this sample days ma
Variance = (x - Mean)²/n - 1
n = 10
Hence,
=( (2 - 10)² +(4 - 10)²+ (6 - 10)²+ (7 - 10)² + (8 - 10)² + (11 - 10)² + (12 - 10)² + (14 - 10)² + (18 - 10)² +(18 - 10)²) /10 -1
= ( 64 + 36 + 16 + 9 + 4 + 1 + 4 + 16 + 64 +64)/9
= 278/9
= 30.88888889
Approximately = 30.89
Step 3
Standard Deviation = √Variance
= √30.89
= 5.5578772926
Approximately = 5.56
