OWNWARD OHNWAND 가654 654. H 10 20 Sampling Distributions 20 30 Population Samples 40 50 Population Mean 25 Median 25 Std. dev. 14.4309 Sampling Distributions 50 Population Samples Sample size 2 Mean 20.6816 Median 20.6816 Std. dev. 13.42 30 40 10 30 Samples Population Mean 25 Median Std. dev. 25 14.4309 Samples Sample size 10 Mean 21.361 Median 17.5003 Std. dev. 18.0322 40 50 Sample means # of Sample means # of 5 5 Samples Samples Mean 27.8936 Mean 24.778 Median 25.2717 Median 25.6467 30 Std. dev. 8.5954 40 50 10 20 30 Sample means Std. dev. 2.4009 Sample means 20 30 50 Population 20 30 Samples Mean Median Std. dev. 25 25 14.4309 Samples Sample size 50 Mean 23.5149 Median 22.1131 Std. dev. 14.3228 40 50 Ctrl-click the image below to copy it! Sampling Distributions Sample means 40 # of 5 30- Samples 20- Mean 25.0438 10- Median 24.8071 10 20 Sample means 40 Std. dev. 1.2119 Ctrl-click the image below to copy it! OPENWAYS Sampling Distributions 2030 Population Mean Median Std. dev. 25 25 14.4309 Population Samples Sample size Mean 10 22.6038 Median 21.8079 Std. dev. 13.34 10 40 Samples 20 30 Population Population Mean Median Std. dev. 25 25 14.4309 Samples Sample size 2 Mean 22.0951 Median 22.0951 Std. dev. 8.0808 10 40 50 Samples Sample means # of Samples 1000 Mean 25.2406 Median 25.5151 10 20 Std. dev. 10.1411 Sample means Ctrl-click the image below to copy it! Sampling Distributions 20 30 Population 40 50 Population Mean Median Std. dev. 25 25 14.4309 Samples Sample size Mean 50 23.6318 Median 24.4146 Std. dev. 15.0681 10 2030 Samples 40 80- 60- 40 。8 20- Sample means 200+ # of 150- 1000 Samples 100- Mean 24.8988 50- Median 24.9409 ot ot 0 10 20 30 Sample means Std. dev. 4.6069 40 50 о 10 20 30 Sample means Sample means # of Samples Mean Median 1000 24.9462 24.9889 Std. dev. 1.9916 40 50

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 5SE: The union of two sets is defined as a set of elements that are present in at least one of the sets....

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Question

Compare the sampling distributions of the mean and the median in terms of shape, center, and spread (standard deviation) for uniform and Right skewed distributions. For each distribution type, what happens to these characteristics as the sample size increases?  What happens when the number of samples increases? Use your histograms and summary statistics to support your conclusions.  

OWNWARD
OHNWAND
가654 654.
H
10
20
Sampling Distributions
20
30
Population
Samples
40
50
Population
Mean
25
Median
25
Std. dev.
14.4309
Sampling Distributions
50
Population
Samples
Sample size
2
Mean
20.6816
Median
20.6816
Std. dev.
13.42
30
40
10
30
Samples
Population
Mean
25
Median
Std. dev.
25
14.4309
Samples
Sample size
10
Mean
21.361
Median
17.5003
Std. dev.
18.0322
40
50
Sample means
# of
Sample means
# of
5
5
Samples
Samples
Mean
27.8936
Mean
24.778
Median
25.2717
Median
25.6467
30
Std. dev.
8.5954
40
50
10
20 30
Sample means
Std. dev.
2.4009
Sample means
20
30
50
Population
20 30
Samples
Mean
Median
Std. dev.
25
25
14.4309
Samples
Sample size
50
Mean
23.5149
Median
22.1131
Std. dev.
14.3228
40
50
Ctrl-click the image below to copy it!
Sampling Distributions
Sample means
40
# of
5
30-
Samples
20-
Mean
25.0438
10-
Median
24.8071
10
20
Sample means
40
Std. dev.
1.2119
Ctrl-click the image below to copy it!
OPENWAYS
Sampling Distributions
2030
Population
Mean
Median
Std. dev.
25
25
14.4309
Population
Samples
Sample size
Mean
10
22.6038
Median
21.8079
Std. dev.
13.34
10
40
Samples
20
30
Population
Population
Mean
Median
Std. dev.
25
25
14.4309
Samples
Sample size
2
Mean
22.0951
Median
22.0951
Std. dev.
8.0808
10
40
50
Samples
Sample means
# of
Samples
1000
Mean
25.2406
Median
25.5151
10
20
Std. dev.
10.1411
Sample means
Ctrl-click the image below to copy it!
Sampling Distributions
20
30
Population
40
50
Population
Mean
Median
Std. dev.
25
25
14.4309
Samples
Sample size
Mean
50
23.6318
Median
24.4146
Std. dev.
15.0681
10
2030
Samples
40
80-
60-
40
。8
20-
Sample means
200+
# of
150-
1000
Samples
100-
Mean
24.8988
50-
Median
24.9409
ot
ot
0
10
20 30
Sample means
Std. dev.
4.6069
40
50
о
10
20
30
Sample means
Sample means
# of
Samples
Mean
Median
1000
24.9462
24.9889
Std. dev.
1.9916
40
50

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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