In calculating the mean and standard deviation per column, what formula should be used? is it population mean or sample mean? and is it standard deviation for population or standard deviation for sample? MaritalSmokingEducationalLevelSerumSystolicPressure126ID #SexAgeExerciseWeightIQStatusStatusCholesterol1FM27111201931182MS18111452101201053FM321181961281154MM24211622081291085FS1912106188119106F5611432061361117MW6512160240131998MD36212152151631069FM431112720113211110FD4711113221513810911MD4831219619914811512FS25310921011511413FD63117024214910114MM372118719314210915MM40112342081569816MS2512119925313510317FM7214328815610318FD56111561641539919M37214221412211020FM41111123220142108

The data is considered to be a population when the data is collected on all observations which have…

Answered: In calculating the mean and standard…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 52E

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In calculating the mean and standard deviation per column, what formula should be used? is it population mean or sample mean? and is it standard deviation for population or standard deviation for sample?

Marital
Smoking
Educational
Level
Serum
Systolic
Pressure
126
ID #
Sex
Age
Exercise
Weight
IQ
Status
Status
Cholesterol
1
F
M
27
1
1
120
193
118
2
M
S
18
1
1
145
210
120
105
3
F
M
32
118
196
128
115
4
M
M
24
2
1
162
208
129
108
5
F
S
19
1
2
106
188
119
106
F
56
1
143
206
136
111
7
M
W
65
1
2
160
240
131
99
8
M
D
36
2
1
215
215
163
106
9
F
M
43
1
1
127
201
132
111
10
F
D
47
1
1
1
132
215
138
109
11
M
D
48
3
1
2
196
199
148
115
12
F
S
25
3
109
210
115
114
13
F
D
63
1
170
242
149
101
14
M
M
37
2
1
187
193
142
109
15
M
M
40
1
1
234
208
156
98
16
M
S
25
1
2
1
199
253
135
103
17
F
M
72
143
288
156
103
18
F
D
56
1
1
156
164
153
99
19
M
37
2
142
214
122
110
20
F
M
41
1
1
1
123
220
142
108

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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