43. Chebyshev's Theorem Based on Data Set 1 “Body Data" in Appendix B, blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.4. (All units are 1000 cells/µL.) Using Chebyshev's theorem, what do we know about the percentage of women with platelet counts that are within 3 standard deviations of the mean? What are the minimum and maximum platelet counts that are within 3 standard deviations of the mean? Data Set 1: Body Data (1000 cells/uL), RED is red blood cell count (million cells/uL), Body and exam measurements are from 300 subjects (first five rows shown here). AGE is in years, for GENDER I = male and 0 = female, PULSE is pulse rate (beats per minute), SYSTOLIC is systolic blood pressure (mm Hg), DIASTOLIC is diastolic blood pressure (mm Hg), HDL is HDL cholesterol (mg/dL), LDL is LDL cholesterol (mg/dL). WHITE is white blood cell count PLATE is platelet count (1000 cells/uL), WEIGHT is weight (kg), HEIGHT is height (cm), WAIST is waist circumference (cm), ARM CIRC is arm circumference (cm), and BMI is body mass index (kg/m2). Data are from the National Center for Health Statistics. TI-83/84 list names AGE, GENDR, PULSE, SYS, DIAS, HDL, (BODY): LDL, WHITE, REDBC, PLATE, WT, HT, WAIST, ARMC, BMI AGE GENDER (1 = M) PULSE SYSTOLIC DIASTOLIC HDL LDL WHITE RED PLATE WEIGHT HEIGHT WAIST ARM CIRC BMI %3D 43 80 100 70 73 68 8.7 4.80 319 98.6 172.0 120.4 40.7 33.3 57 1 84 112 70 35 116 4.9 4.73 187 96.9 186.0 107.8 37.0 28.0 38 94 134 94 36 223 6.9 4.47 297 108.2 154.4 120.3 44.3 45.4 80 1 74 126 64 37 83 7.5 4.32 170 73.1 160.5 97.2 30.3 28.4 34 1 50 114 68 50 104 6.1 4.95 140 83.1 179.0 95.1 34.0 25.9 43. At least 89% of women have platelet counts within 3 standard deviations of the mean. The minimum is 58.9 and the maximum is 451.3.
43. Chebyshev's Theorem Based on Data Set 1 “Body Data" in Appendix B, blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.4. (All units are 1000 cells/µL.) Using Chebyshev's theorem, what do we know about the percentage of women with platelet counts that are within 3 standard deviations of the mean? What are the minimum and maximum platelet counts that are within 3 standard deviations of the mean? Data Set 1: Body Data (1000 cells/uL), RED is red blood cell count (million cells/uL), Body and exam measurements are from 300 subjects (first five rows shown here). AGE is in years, for GENDER I = male and 0 = female, PULSE is pulse rate (beats per minute), SYSTOLIC is systolic blood pressure (mm Hg), DIASTOLIC is diastolic blood pressure (mm Hg), HDL is HDL cholesterol (mg/dL), LDL is LDL cholesterol (mg/dL). WHITE is white blood cell count PLATE is platelet count (1000 cells/uL), WEIGHT is weight (kg), HEIGHT is height (cm), WAIST is waist circumference (cm), ARM CIRC is arm circumference (cm), and BMI is body mass index (kg/m2). Data are from the National Center for Health Statistics. TI-83/84 list names AGE, GENDR, PULSE, SYS, DIAS, HDL, (BODY): LDL, WHITE, REDBC, PLATE, WT, HT, WAIST, ARMC, BMI AGE GENDER (1 = M) PULSE SYSTOLIC DIASTOLIC HDL LDL WHITE RED PLATE WEIGHT HEIGHT WAIST ARM CIRC BMI %3D 43 80 100 70 73 68 8.7 4.80 319 98.6 172.0 120.4 40.7 33.3 57 1 84 112 70 35 116 4.9 4.73 187 96.9 186.0 107.8 37.0 28.0 38 94 134 94 36 223 6.9 4.47 297 108.2 154.4 120.3 44.3 45.4 80 1 74 126 64 37 83 7.5 4.32 170 73.1 160.5 97.2 30.3 28.4 34 1 50 114 68 50 104 6.1 4.95 140 83.1 179.0 95.1 34.0 25.9 43. At least 89% of women have platelet counts within 3 standard deviations of the mean. The minimum is 58.9 and the maximum is 451.3.
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Transcribed Image Text:43. Chebyshev's Theorem Based on Data Set 1 "Body Data" in Appendix B, blood platelet
counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation
of 65.4. (All units are 1000 cells/µL.) Using Chebyshev's theorem, what do we know about
the percentage of women with platelet counts that are within 3 standard deviations of the mean?
What are the minimum and maximum platelet counts that are within 3 standard deviations of
the mean?
Data Set 1: Body Data
(1000 cells/uL), RED is red blood cell count (million cells/uL),
PLATE is platelet count (1000 cells/uL), WEIGHT is weight (kg),
Body and exam measurements are from 300 subjects (first five
rows shown here). AGE is in years, for GENDER 1 male and
0 = female, PULSE is pulse rate (beats per minute), SYSTOLIC
HEIGHT is height (cm), WAIST is waist circumference (cm), ARM
CIRC is arm circumference (cm), and BMI is body mass index
(kg/m?). Data are from the National Center for Health Statistics.
is systolic blood pressure (mm Hg), DIASTOLIC is diastolic
blood pressure (mm Hg), HDL is HDL cholesterol (mg/dL), LDL
is LDL cholesterol (mg/dL), WHITE is white blood cell count
TI-83/84 list names AGE, GENDR, PULSE, SYS, DIAS, HDL,
(BODY):
LDL, WHITE, REDBC, PLATE, WT, HT,
WAIST, ARMC, BMI
AGE
GENDER (1 = M)
PULSE
SYSTOLIC
DIASTOLIC
HDL
LDL
WHITE
RED
PLATE
WEIGHT
HEIGHT
WAIST
ARM CIRC
BMI
43
80
100
70
73
68
8.7
4.80
319
98.6
172.0
120.4
40.7
33.3
57
84
112
70
35
116
4.9
4.73
187
96.9
186.0
107.8
37.0
28.0
38
94
134
94
36
223
6.9
4.47
297
108.2
154.4
120.3
44.3
45.4
80
1
74
126
64
37
83
7.5
4.32
170
73.1
160.5
97.2
30.3
28.4
34
50
114
68
50
104
6.1
4.95
140
83.1
179.0
95.1
34.0
25.9
43. At least 89% of women have platclet counts within 3 standard
deviations of the mean. The minimum is 58.9 and the maximum
is 451.3.
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