Observe the values of the means and standard deviations in the four samples you gathered and list as many observations as you can. Sample 1:Simple Random SystematicSamplingSample 2:Sample 3:Sample 4:StratifiedRandomCluster RandomRandomsamplingSampling100/20 = 5interval is 5 perSampling15-16=1519,27,15,19,18,30,29,28,22,3030,27,18,20,23,215, 17, 25, 26,21, 18 28, 15,16, 24, 20, 25,29, 15, 25, 25,19, 25, 19, 15randomly picked ,15,29,19,30,17, 20/100*9=1.8a number20/100*15 =317-18= 13column26,15,15,17,18,2 20/100*13 = 2.6 8,25,29,26,244,15,25,30,23,28 19-20=9column 5 and 1029,18,20,2421-22= 520/100*5 =123-24=1220/100*12=2.425-26=1620/100*16 = 3.227-28=1320/100*13=2.629-30=17=20/100*17=3.415,15,16,17,17,18,19,20,21,23,2425,26,26,27,28,28,29,30,30Mean = 22.7Mean = 21.1Mean = 21.85Mean = 24.35SD = 4.76SD = 5.56SD = 5.25SD = 4.78

Simple random sampling is the technique of selecting the in such a way that way each sample has an…

Answered: Observe the values of the means and…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 2E

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Observe the values of the means and standard deviations in the four samples you gathered and list as many observations as you can.

Sample 1:
Simple Random Systematic
Sampling
Sample 2:
Sample 3:
Sample 4:
Stratified
Random
Cluster Random
Random
sampling
Sampling
100/20 = 5
interval is 5 per
Sampling
15-16=15
19,27,15,19,18,3
0,29,28,22,30
30,27,18,20,23,2
15, 17, 25, 26,
21, 18 28, 15,
16, 24, 20, 25,
29, 15, 25, 25,
19, 25, 19, 15
randomly picked ,15,29,19,30,17, 20/100*9=1.8
a number
20/100*15 =3
17-18= 13
column
26,15,15,17,18,2 20/100*13 = 2.6 8,25,29,26,24
4,15,25,30,23,28 19-20=9
column 5 and 10
29,18,20,24
21-22= 5
20/100*5 =1
23-24=12
20/100*12=2.4
25-26=16
20/100*16 = 3.2
27-28=13
20/100*13=2.6
29-30=17=
20/100*17=3.4
15,15,16,17,17,1
8,19,20,21,23,24
25,26,26,27,28,
28,29,30,30
Mean = 22.7
Mean = 21.1
Mean = 21.85
Mean = 24.35
SD = 4.76
SD = 5.56
SD = 5.25
SD = 4.78

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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