Answer:
Range = $115
Variance = $1915.2857
Standard deviation = $43.764
Step-by-step explanation:
Given the data:
234 160 119 131 218 207 146 141
Arranging in ascending order :
119, 131, 141, 146, 160, 207, 218, 234
The range = maximum - minimum
The range = 234 - 119 = 115
The variance :
Σ(x - mean)²/n-1
The mean = Σx / n
The mean = 1356 / 8 = 169.5
Variance :
Σ(x - mean)² = (119-169.5)² + (131-169.5)² + (141-169.5)² + (146-169.5)² + (160-169.5)² + (207-169.5)² + (218-169.5)² + (234-169.5)² = 13407
n - 1 = 8 - 1 = 7
Variance = 13407 / 7 = 1915.2857
Standard deviation = √variance
Standard deviation = √1915.2857
Standard deviation = $43.764
