Answer:
(a)7.185
(b)0.000371
(c) 0.019
(d)Sample variance and Sample standard deviation
Step-by-step explanation:
We are given the following sample data.
7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, 7.18.
(a) Calculate the sample mean. Round your answer to 3 decimal places.
The formula for sample mean =
Sum of terms/Number of terms
= 7.15 + 7.20+ 7.18+7.19+7.21+7.20+7.17+ 7.18/8
= 57.48/8
= 7.185
(b) Calculate the sample variance. Round your answer to 6 decimal places.
The formula for sample Variance =
(x - mean)²/n - 1
n = 8
Sample variance = (7.15 - 7.185)² + (7.20-
7.185)²+ (7.18 -7.185)² + (7.19 -7.185)² + (7.21 - 7.185)² + (7.20 - 7.185)² + (7.17 - 7.185)² + (7.18 - 7.185)² /8 - 1
= 0.001225 + 0.000225+ 0.000025+ 0.000025 + 0.000625 + 0.000225 + 0.000225 + 0.000025/7
= 0.0026/7
= 0.000371428571
Approximately to 6 decimal places = 0.000371
(c) Calculate the sample standard deviation. Round your answer to 3 decimal places.
The formula for Sample Standard Deviation = √Sample variance
= √0.000371428571
= 0.01927248223
To 3 decimal places = 0.019
(d) Which of the following are potential major sources of variability in the experiment
Sample variance
Sample standard deviation
Answer:
yea in my opinon u are right but im not a expert in math.
Step-by-step explanation:
Answer C
Step-by-step explanation:
The mean is the average of a set of numbers.
To find the mean of this data, form a number set by gathering all the numbers.
We need to find the average weekly allowance. To do this, each number in the number set should be the different allowances, and their quantity is the number of students who earned that allowance.
In this case, there would be seven 0s, five 3s, seven 5s, three 6s, and two 8s.
The numbers are:
0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8
To find the mean of these numbers, add then together then divide by the total amount of numbers.
This means doing:
(0 + 0 + 0 + 0 + 0 + 0 + 0 + 3 + 3 + 3 + 3 + 3 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 8 + 8) / 7 + 5 + 7 + 3 + 2
An easier formula could be used by using multiplication.
This would be [7(0) + 5(3) + 7(5) + 3(6) + 2(8)] / 24
This is a lot easier to read!
Now to solve it.
7 • 0 = 0
5 • 3 = 15
7 • 5 = 35
3 • 6 = 18
2 • 8 = 16
0 + 15 + 35 + 18 + 16 = 84
84 / 24 = 3.5
The mean is 3.5, or $3.50
This means that the average weekly allowance amongst these students is $3.50.
Hope this helps!
Plug in -3 for x
f(-3) = 2(-3) - (-3 + 6)
f(-3) = -6 - (3)
f(-3) = -9
Solution: f(-3) = -9
