Answer:
d. The variance is 9.56 and the standard deviation is 3.09.
Step-by-step explanation:
From the above question, we are given the following data set.
3, 7, 8, 8, 8, 9, 10, 10, 13, 14
a) Mean = 3 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 13 + 14/ 10
= 90/10
= 9
b) Variance
The formula for sample Variance = (Mean - x)²/ n - 1
Mean = 9
n = 10
Sample Variance =
(3 - 9)² + (7 - 9)² + (8 - 9)² + (8 - 9)² + (8 - 9)² + (9 - 9)² + (10 - 9)² + (10 - 9)² + (13 - 9)² + (14 - 9)² / 10 - 1
= 36 + 4 + 1 + 1 + 1 + 0 + 1 + 1 + 16 + 25/9
= 86/9
= 9.555555556
≈ Approximately 9.56
Variance = 9.56
Sample Standard deviation = √Sample Variance
= √9.56
= 3.0919249667
≈ Approximately 3.09
A reclined chair or maybe a laptop
153 x 7.14 = 1092.42
so every year she gets $1092.42
so times that by 6 and the answer is $6554.52
What number are we going to compare bro?
1) the vertex of a parable is given for two points, ( -b/2a, -b2-4ac/4a)
2) Now substitute the values in the equation
x = - (-8)/2(-2) = 8/ -4 = -2
y = -(8^2-4(-2)(1)/ 4(-2) = -(64-8) /-8 = 56/8 = 7
v(-2,7)