Answer 3 questions with complete solution, using scientific calculator to solve for the mean, variance, and Standard deviation etc. The following are the shoe sizes (inches) of 20 female students in SMU Senior High School:6.478.15.87.58.57.26.96.759.156.28.17.175.768.17.66.27.45What is theshoe size of the students? (Input the NUMBER ONLY, noother characters or units should be included, use 2 decimal places if theanswer is in decimal form)Your answerWhat is the variance? (Input the NUMBER ONLY, no other characters orunits should be included, use 2 decimal places if the answer is in decimalform)Your answerWhat is the standard deviation? (Input the NUMBER ONLY, no othercharacters or units should be included, use 2 decimal places if the answeris in decimal form)Your answer 4945 44TABLE A Areas of a Standard Normal Distribution (Alternate Version ofAppendix I Table 4)The table entries represent the area under the standard normal curve from 0to the specified value of z..00.01.02.03.04.05.06.07.08.090.0 .0000.0040.0080.0120.0160.0199.0239.0279.0319.03590.1.0398.0438.0478.0517.0557.0596.0636.0675.0714.07530.2.0793.0832.0871.0910.0948.0987.1026.10641103.11410.3.1179.1217.12551293.1331.1368.1406.14431480.15170.4.1554.1591.1628.1664.1700.1736.1772 .1808184418790.5 .1915.1950.1985.2019.2054.2088.2123.2157219022240.6 .2257.2291.2324.2357.2389.2422.2454 .2486251725490.7.2580.2611.2642.2673.2704.2734.2764 .2794.282328520.8.2881.2910.2939.2967.2995.3023.3051.3078310631330.9.3159.31863212.3238.3264.3289.3315.3340.336533891.0 .34131.1 .3643.3438.3461.3485.3508.3531.35543577.35993621.3665.3686.3708.37293749.3770.3790381038301.2 .3849.3869.3888.3907.39253944.3962.3980.399740151.3 .4032.4049,4066.4082.4099.411541314147.416241771.4.4192.4207.4222.4236.4251.4265.4279.4292.4306.43191.5 .4332.4345.4357 .4370.4382.4394.4406.4418.4429.44411.6 .4452.44634474.4484.4495.450545154525.453545451.7.4554.4564.4573.45824591.4599.4608.4616.462546331.8 .4641.4649.4656.4664.4671.4678.4686.4693.469947061.9.4713.4719.4726.4732.4738.4744.4750.4756.4761.47672.0 .47722.1 .4821.4778.4783.4788.4793.4798.4803480848124817.4826483048344838.4842.4846.4850485448572.2.4861.4864.4868.4871.4875.4878.488148844887.48902.3 .4893.4896.4898.4901.4904.4906.49094911.4913.49162.4.4918.4920.4922.4925.4927.4929.4931.4932.4934.49362.5 .4938.4940.4941.4943.4948.4949.4951.49522.6 4953.49554956.4957.49594960.4961.49624963.49642.7 .4965.4966.4967 4968.4969.4970.49714972.4973.49742.8.4974.49754976.4977.4977.4978.49794979.4980.49812.9 .4981.4982.4982.4983.4984.4984.4985.4985.4986.49863.0 .4987.4987.4987.4988.4988.4989.4989.4989.4990.49903.1.4990.4991.4991.4991.4992.49924992.4992.499349933.2.4993.4993.4994.4994.49943.3 49954994.4994.4995.4995,4995.4995.49964995.4996.4996.4996.49963.4 .4997.4997.4996.4997.4997.4997.4997.4997.49974997.4997.49983.5 .49983.6.4998.4998.4998.4998.4998.4998.4998.4998.4998.4998.4998.4998.4999.4999For values of z greater than or equal to 3.70, use 0.4999 to approximate the shaded area under the standard.4999.4999.4999.4999 4999normal curve.

We have given that the following data…

Answered: The following are the shoe sizes…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Answer 3 questions with complete solution, using scientific calculator to solve for the mean, variance, and Standard deviation etc.

The following are the shoe sizes (inches) of 20 female students in SMU Senior High School:
6.4
7
8.1
5.8
7.5
8.5
7.2
6.9
6.75
9.15
6.2
8.1
7.17
5.76
8.1
7.6
6.2
7.45
What is the
shoe size of the students? (Input the NUMBER ONLY, no
other characters or units should be included, use 2 decimal places if the
answer is in decimal form)
Your answer
What is the variance? (Input the NUMBER ONLY, no other characters or
units should be included, use 2 decimal places if the answer is in decimal
form)
Your answer
What is the standard deviation? (Input the NUMBER ONLY, no other
characters or units should be included, use 2 decimal places if the answer
is in decimal form)
Your answer

4945 44
TABLE A Areas of a Standard Normal Distribution (Alternate Version of
Appendix I Table 4)
The table entries represent the area under the standard normal curve from 0
to the specified value of z.
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
0.0 .0000
.0040
.0080
.0120
.0160
.0199
.0239
.0279
.0319
.0359
0.1
.0398
.0438
.0478
.0517
.0557
.0596
.0636
.0675
.0714
.0753
0.2
.0793
.0832
.0871
.0910
.0948
.0987
.1026
.1064
1103
.1141
0.3.1179
.1217
.1255
1293
.1331
.1368
.1406
.1443
1480
.1517
0.4.1554
.1591
.1628
.1664
.1700
.1736
.1772 .1808
1844
1879
0.5 .1915
.1950
.1985
.2019
.2054
.2088
.2123
.2157
2190
2224
0.6 .2257
.2291
.2324
.2357
.2389
.2422
.2454 .2486
2517
2549
0.7
.2580
.2611
.2642
.2673
.2704
.2734
.2764 .2794
.2823
2852
0.8
.2881
.2910
.2939
.2967
.2995
.3023
.3051
.3078
3106
3133
0.9
.3159
.3186
3212
.3238
.3264
.3289
.3315
.3340
.3365
3389
1.0 .3413
1.1 .3643
.3438
.3461
.3485
.3508
.3531
.3554
3577
.3599
3621
.3665
.3686
.3708
.3729
3749
.3770
.3790
3810
3830
1.2 .3849
.3869
.3888
.3907
.3925
3944
.3962
.3980
.3997
4015
1.3 .4032
.4049
,4066
.4082
.4099
.4115
4131
4147
.4162
4177
1.4.4192
.4207
.4222
.4236
.4251
.4265
.4279
.4292
.4306
.4319
1.5 .4332
.4345
.4357 .4370
.4382
.4394
.4406
.4418
.4429
.4441
1.6 .4452
.4463
4474
.4484
.4495
.4505
4515
4525
.4535
4545
1.7
.4554
.4564
.4573
.4582
4591
.4599
.4608
.4616
.4625
4633
1.8 .4641
.4649
.4656
.4664
.4671
.4678
.4686
.4693
.4699
4706
1.9
.4713
.4719
.4726
.4732
.4738
.4744
.4750
.4756
.4761
.4767
2.0 .4772
2.1 .4821
.4778
.4783
.4788
.4793
.4798
.4803
4808
4812
4817
.4826
4830
4834
4838
.4842
.4846
.4850
4854
4857
2.2
.4861
.4864
.4868
.4871
.4875
.4878
.4881
4884
4887
.4890
2.3 .4893
.4896
.4898
.4901
.4904
.4906
.4909
4911
.4913
.4916
2.4
.4918
.4920
.4922
.4925
.4927
.4929
.4931
.4932
.4934
.4936
2.5 .4938
.4940
.4941
.4943
.4948
.4949
.4951
.4952
2.6 4953
.4955
4956
.4957
.4959
4960
.4961
.4962
4963
.4964
2.7 .4965
.4966
.4967 4968
.4969
.4970
.4971
4972
.4973
.4974
2.8.4974
.4975
4976
.4977
.4977
.4978
.4979
4979
.4980
.4981
2.9 .4981
.4982
.4982
.4983
.4984
.4984
.4985
.4985
.4986
.4986
3.0 .4987
.4987
.4987
.4988
.4988
.4989
.4989
.4989
.4990
.4990
3.1
.4990
.4991
.4991
.4991
.4992
.4992
4992
.4992
.4993
4993
3.2
.4993
.4993
.4994
.4994
.4994
3.3 4995
4994
.4994
.4995
.4995
,4995
.4995
.4996
4995
.4996
.4996
.4996
.4996
3.4 .4997
.4997
.4996
.4997
.4997
.4997
.4997
.4997
.4997
4997
.4997
.4998
3.5 .4998
3.6.4998
.4998
.4998
.4998
.4998
.4998
.4998
.4998
.4998
.4998
.4998
.4998
.4999
.4999
For values of z greater than or equal to 3.70, use 0.4999 to approximate the shaded area under the standard
.4999
.4999
.4999
.4999 4999
normal curve.

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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