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
