Answer: range= 26, variance= 80 and standard deviation= 8.94
Step-by-step explanation:
Range = highest - lowest
Range = 146 - 120
Range= 26
Let m be mean
M=mean=sum/n
Mean=(120+134+146+127+138+133) / 6
M=798/6
M=133
The standard deviation sample formula:
S.D = sqrt( Summation of |x-m|^2 / n-1)
Let start finding:
|x-m|^2
For 1st: |120-133|^2=169
For 2nd: |134-133|^2=1
For 3rd: |146-133|^2=169
For 4th: |127-133|^2=36
For 5th: |138-133|^2=25
For 6th: |133-133|^2=0
Summation of |x-m|^2 = 400
The standard deviation formula is :
S.D = sqrt( Summation of |x-m|^2 / n-1)
S.D= sqrt(400 / 5)
S.D=sqrt(80)
S.D= 8.94
Variance = (Summation of |x-m|^2 / n-1)
Variance= 400/5
Variance= 80
Answer:
Part A.
Range= 26
Variance= 66.67
Standard deviation= 8.165
Part B.
If the blood pressure remains constant and all the six medical student gets the same result from the blood pressure, The standard deviation will be; The value which is the same minus the average value.
Step-by-step explanation:
The values of their result are 120, 134, 146, 127, 138, and 133
FIND RANGE:
The range is the highest value minus the lowest value
146 is the highest value
120 is the lowest value
146-120= 26
FIND VARIANCE :
Variance is the mean value of the sum of the square of the difference between each value and the mean.
Variance= ∑[( x- X)]/n
Step 1: find the mean
(120+134+146+127+138+133)/6
= 133
Step2: square the difference between each value and the mean.
(120-133)^2=169
(134-133)^2=1
(146-133)^2=169
(127-133)^2=36
(138-133)^2=25
(133-133)^2=0
Step 3: find the average of the values in step 2.
(169+1+169+36+25+0)/6
= 400/6 = 66.67
FIND THE STANDARD DEVIATION:
The standard deviation is the square root of the variance.
√66.67= 8.165.
IF THE VALUES OF THEIR RESULT ARE THE SAME, STANDARD DEVIATION WILL BE
x - X
Where;
x is the value of the number which is the same for the six student
X is the mean value of the number which is the same for the six student
