Answer:
A.) 67.78
B.) 76.48
C.) 87.34
Step-by-step explanation:
Given that:
Mean (m) = 80.6
Standard deviation (σ) = 10
A.) 10th percentile :
10th percentile corresponds to a Zscore of - 1.282
Zscore = (x - m) / σ
-1.282 = (x - 80.6) / 10
-12.82 = x - 80.6
x = -12.82 + 80.6
x = 67.78
B.)34th percentile of blood pressure ;
34th percentile corresponds to a Zscore of - 0.412
Zscore = (x - m) / σ
-0.412 = (x - 80.6) / 10
-4.12 = x - 80.6
x = - 4.12 + 80.6
x = 76.48
C.) third quartile = 75% = 0.75
75th percentile corresponds to a Zscore of 0.674
Zscore = (x - m) / σ
0.674 = (x - 80.6) / 10
6.74 = x - 80.6
x = 6.74 + 80.6
x = 87.34
a)The 10th percentile of blood pressure is 67.78.
b)The 34th percentile of blood pressure is 76.48.
c)The third quartile of the blood pressure is 87.34.
Mean blood pressure μ= 80.6
Standard deviation σ= 10
From the normal standard table, the z-score corresponding to the 10th percentile = - 1.282
A z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.
z= (x-μ) /σ
-1.282 = (x - 80.6) /10
-12.82 = x - 80.6
x = -12.82 + 80.6
x = 67.78
So, the 10th percentile of blood pressure is 67.78.
Similarly, the 34th percentile of blood pressure =76.48
The third quartile of the blood pressure =87.34
Therefore a) the 10th percentile of blood pressure is 67.78.
b)the 34th percentile of blood pressure is 76.48.
c)The third quartile of the blood pressure is 87.34.
To get more about the z-score visit:
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