Question

Substance 18. Amorphophallus johnsonii is a plant growing in West Africa, and it is better known as a "corpse flower." Its common name comes from the fact

Please show every step and calculation

Please show every step and calculation

Answer 1

A) MEAN Step 1: write all the values (X)
	Value (X)
	51
	45
	61
	76
	11
	117
	7
	132
	52
	149
Step 2: Calculate the sum of numbers (SX)
	SX = 701
Step 3: calculate Mean using the following formula, where, n = total number of X
	Mean = SX/n
	Mean = 701/10
	Mean = 70.1

A) STANDARD DEVIATION

Step 1	Step 2	Step 3
X	X-Mean	Square of X-Mean
51	-19.1	364.81	364.81
45	-25.1	630.01	630.01
61	-9.1	82.81	82.81
76	5.9	34.81	34.81
11	-59.1	3492.81	3492.81
117	46.9	2199.61	2199.61
7	-63.1	3981.61	3981.61
132	61.9	3831.61	3831.61
52	-18.1	327.61	327.61
149	78.9	6225.21	6225.21
		21170.9
Step 4. Sum of Square of X-Mean
	S(X-Mean) = 21170.9
Step 5: Calculate variance using following formula
	Variance = S(X-Mean)/N
	Variance = 21170.9/10
	Variance = 2117.09
Step 6. Standard Deviation is square root of variance
	46.01185

B) STANDARD ERROR

Calculate standard error using following formula:
standard error = Standard deviation/sqrt n
standard error = 46.01185/sqrt 10
standard error = 46.01185/3.16
standard error = 14.55

C)

CI = Mean ± Standard error

CI = 70.1 - 14.55

CI = 55.55

CI = 70.1 + 14.55

CI = 84.65

D) If we increase the number set from 10 to 25, then that will change the mean of the entire set, which will change the deviation from the mean for each number on the list, which changes the standard deviation. If you include an additional number or a few additional numbers that are far away from the other numbers, this inclusion will increase the standard deviation.