### Stem-and-Leaf Display - PDF

Added on - 11 Nov 2020

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STATISTICS
TABLE OF CONTENTSQUESTION 1...................................................................................................................................1(a) Stem-and-Leaf Display of Westpac banking corporation.................................................2(b) Histogram for NAB and WBC..........................................................................................4(C). Bar charts of six listed companies...................................................................................4(d) Market recommendation...................................................................................................5QUESTION 2...................................................................................................................................6(a) and (b) Calculation of mean, median and standard deviation...........................................6c) Box and whisker plot for new vehicle sales for each year.................................................6(D.) number of new vehicles sales of each state, and the trends in new vehicles sales indifferent Australian states.......................................................................................................7Question 3........................................................................................................................................1A. What is the probability that randomly selected household lives in Victoria?...................1B. What is the probability that randomly selected household lives in Tasmania and hasinternet access in 2010-11?....................................................................................................1C. What is the probability that randomly selected household lives in New South Wales andhas internet access in 2012-13?..............................................................................................1D. What is the probability that randomly selected household has access to internet in 2010-11or 2012-13?.............................................................................................................................1Question 4........................................................................................................................................3A) What value does the upper 5% of the time exceed?..........................................................3B) What is the probability that the air temperature will be less than 21 degree Celsius?......3C) probability calculation.......................................................................................................3Question 5........................................................................................................................................4A) Binomial distribution.........................................................................................................4B) Binomial distribution with Z score....................................................................................4C) Random sampling..............................................................................................................4
QUESTION 1Quarterly pricesDatePrice (NAB)Price (WBC)Jan-0917.99515.462Apr-0919.61118.982Jul-0923.12821.444Oct-0928.37626.07Jan-1025.06723.589Apr-1026.61726.891Jul-1023.88923.718Oct-1024.20222.442Jan-1123.44222.729Apr-1125.74224.558Jul-1122.81420.188Oct-1124.4322.067Jan-1222.67220.91Apr-1223.98422.472Jul-1223.74622.936Oct-1224.51625.22Jan-1326.00927.721Apr-1332.32133.416Jul-1329.68730.631Oct-1333.56634.002Jan-1431.60830.7Apr-1433.55634.927Jul-1433.57534.42Oct-1433.26234.589Jan-1533.8734.27Apr-1534.95436.26Jul-1533.52534.668Oct-1529.07131.38Jan-1626.6730.85Apr-1627.1931.05Jul-1626.5431.09Oct-162830.47Jan-1730.3331.71Apr-173435.06Jul-1729.9531.821
Oct-1732.6632.99(a) Stem-and-Leaf Display of Westpac banking corporationLeafunit:1015 920 1 1 2 2 2 3 3 4 4 5 5 6 7 830 1 1 1 1 1 1 2 2 3 3 4 4 4 5 55 5 6n36mean28.10283median30.5505std. dev.5.648479minimum15.462maximum36.26Stem-and-Leaf DisplayNABLeafunit:101820 3 3 3 3 4 4 4 4 4 5 5 6 6 7 7 7 78 8 930 0 0 2 2 3 3 4 4 4 4 4 4 5n36mean27.79375median26.93std. dev.4.535683minimum17.995maximum34.9542
Stem and leaf display of NAB (left) and WBC (Right)N36mean28.10283median30.5505std. dev.5.648479minimum15.462maximum36.26Stem-and-Leaf DisplayLeafunit:1015 920 1 1 2 2 2 3 3 4 4 5 5 6 7 830 1 1 1 1 1 1 2 2 3 3 4 4 4 5 55 5 6(b) Histogram for NAB and WBC(C). Bar charts of six listed companiesCompany NameMarketcapitalAscent Resource6.85ActivEX35.45Adelaide Brighton3.29Admiralty Resources17.31ALCHEMY RESOURCES6.61Alara Resources12.583
(d) Market recommendationNABP/E Ratio of NAB is 11.8 and Dividend yield ratio is 8.1From the above data it can be interpreted that Price /earnings ratio that shows thewillingness of the investor to pay the amount in order to receive one dollar of that company’searnings. Higher the P/E ratio the higher is the anticipated growth of the investors in future.Moreover, It can interpreted that Dividend yield ratio that shows the amount of dividend thecompany pay’s to its shareholders or investors. The dividend yield ratio of NAB is 8.1.Trend ratio and Debt / equity ratio4