Exercise 6 (21 points) Systolic Blood Pressure is measured by (mm Hg) Data are f
ID: 3173727 • Letter: E
Question
Exercise 6 (21 points) Systolic Blood Pressure is measured by (mm Hg) Data are from the National Center of Health Statistics This is a random sample of adult systolic blood pressure measurements from adults in the United States. Adult Systolic Use the following systolic measurements for 80 adults Blood pressure Find the percentile corresponding to the blood pressure value. (mm Hg) Be sue to sort the data from lowest to highest. 104 99 The systolic pressure of 120 is the point that divides the ideal pressure 102 from the Pre-High blood pressure. What percentile is the systolic pressure of 120? 114 94 101 108 The systolic pressure of 140 is the point that divides the Pre-High Blood pressure 90 from the High Blood pressure. What percentile is the systolic pressure of 140? 123 93 89 112 The systolic pressure of 90 is the point that divides the ideal pressure 107 from the Low blood pressure. What percentile is the systolic pressure of 90? 116 181 98 100 Use the same list of 80 systolic blood pressure readings to find the indicated percentile or quartile. 127 107 P30 116 97 P65 155 106 P50 110 105 Q1 118 133 Q3 113 113 107 What is the 5-number summary for this set of data? 95 108 114 89 140 124 92 119 93 106 125 107 126 110 110 107 113 126 137 110 109 153 112 119 113 125 131 121 132 112 121 116 95 110 110 125 124 131 109 112 127 132 116 125 112 125 120 118 115 115 Exercise 6 (21 points) Systolic Blood Pressure is measured by (mm Hg) Data are from the National Center of Health Statistics This is a random sample of adult systolic blood pressure measurements from adults in the United States. Adult Systolic Use the following systolic measurements for 80 adults Blood pressure Find the percentile corresponding to the blood pressure value. (mm Hg) Be sue to sort the data from lowest to highest. 104 99 The systolic pressure of 120 is the point that divides the ideal pressure 102 from the Pre-High blood pressure. What percentile is the systolic pressure of 120? 114 94 101 108 The systolic pressure of 140 is the point that divides the Pre-High Blood pressure 90 from the High Blood pressure. What percentile is the systolic pressure of 140? 123 93 89 112 The systolic pressure of 90 is the point that divides the ideal pressure 107 from the Low blood pressure. What percentile is the systolic pressure of 90? 116 181 98 100 Use the same list of 80 systolic blood pressure readings to find the indicated percentile or quartile. 127 107 P30 116 97 P65 155 106 P50 110 105 Q1 118 133 Q3 113 113 107 What is the 5-number summary for this set of data? 95 108 114 89 140 124 92 119 93 106 125 107 126 110 110 107 113 126 137 110 109 153 112 119 113 125 131 121 132 112 121 116 95 110 110 125 124 131 109 112 127 132 116 125 112 125 120 118 115 115Explanation / Answer
Arrange the data in ascending order
a) What percentile is the systolic pressure of 120?
Percentile = (no. of values less than 120/total number of observations)*100%
=(55/80)*100% = 68.75
P68.75
b) What percentile is the systolic pressure of 140
Percentile = (76/80)*100% = 95
P95
c) What percentile is the systolic pressure of 90
Percentile = (2/80)*100% = 2.5
P2.5
d)
P30 = (n*Percentile)/100 = (80*30)/100 = 24th observation = 107
P65 = (65*80)/100 = 52nd observation = 118
P50 = (80*50)/100 = 40th observation = 113
Q1 = n/4 =80/4 = 20th observation = 107
Q3 = 3n/4 = 3*80/4 = 60th observation = 124
5 number summary
Minimum value = 89
Q1 = 107
Median = 113
Q3 = 124
Maximum value = 181