Question

please answer all thequestion :

1-The diastolic blood pressure (in mm Hg) of 84 patients with hypertension was:

88 98 78 84 77 81 90 82 75 72 92 85 92 77 84 77 82 100
92 88 74 80 95 90 87 80 83 77 86 80 88 90 79 82 93 100
80 85 96 85 90 84 82 95 88 97 80 88 94 92 88 96 90 103
88 86 84 90 98 88 86 95 97 88 75 82 90 98 84 97 84 102
88 78 80 82 86 90 85 95 88 86 90 101

Based on this information, construct a frequency distribution in order to answer the following questions.

a. Calculate the range. ........

b. Calculate the value of:
(1) First quartile score. (compute to whole number) ............
(2) Third quartile score. (compute to whole number) ........
(3) 90th percentile score. (compute to the first decimal) ........
(4) Percentile rank of a score of 81.............  th
(5) Percentile rank of a score of 87............. th

2-Calculate the value of:

First quartile score. (compute to the first decimal).........
Third quartile score. (compute to the first decimal).........
90th percentile score. (compute to the second decimal) .........
Percentile rank of a score of 81.......... th
Percentile rank of a score of 87......... th

3- Calculate the percentage of scores with stays greater than one week............ %

4- Calculate the percentage of scores with stays greater than two weeks.........  %

Answer 1

### By using Excel:

First we sort the data

Class	frequency
"71-75"	4
"76-80"	13
"81-85"	18
"86-90"	26
"91-95"	10
"96-100"	10
"101-105"	3

Q1.

a) Here the maximum =103

minimum=72

Therefore range=maximum-minimum

=103-72

=31

Range=31

b) Here total number of score is n=84

1) First quartile score =0.25*n

=0.25*84

=21

Therefore the score whose rank is 21 represents first quartile.

Hence first quartile=82

2) Third quartile score =0.75*n

=0.75*84

=63

Therefore the score whose rank is 63 represents third quartile.

Hence third quartile= 92

3) 90th percentile score=0.90* n

=0.90*84

=75.6

Therefore the score whose rank is 76 represents 90th percentile.

Hence 90th percentile =97

4) The score 81 is at the rank of 18.

therefore Percentile rank of a score of 81=(18/n) *100=(18/84)*100

=0.2143*100

=21.43

The Percentile rank of a score of 81 is 21th percentile.

5) The score 87 is at the rank of 41.

therefore Percentile rank of a score of 87=(47/n) *100=(47/84)*100

=0.5595*100

=55.95

The Percentile rank of a score of 87 is 96th percentile.