Table 1 X1 X2 X3 X4 X5 X6 32 13 4 0 1 2 137 9 2 1 0 1 167 10 1 0 0 1 343 10 4 0 1 3 580 14 6 0 1 4 634 17 3 0 1 1 740 6 3 0 0 3 748 10 8 1 0 1 765 6 4 0 0 4 789 18 6 0 0 2 890 12 6 1 0 3 1006 12 7 1 0 1 1044 6 5 0 0 1 1053 10 3 1 0 1 1120 12 4 0 0 1 1125 20 3 1 0 4 1169 7 2 0 0 3 1218 5 4 0 0 4 1266 7 2 0 0 1 1320 20 7 1 0 4 1326 15 4 1 0 3 1338 11 2 0 1 1 1455 17 3 0 0 3 1474 10 7 0 0 2 1487 8 4 1 0 3 1494 8 4 0 1 2 1501 8 6 1 0 3 1526 7 5 1 1 3 1554 11 2 0 0 2 1593 10 4 1 1 2 1616 6 2 1 0 2 1622 2 7 1 0 4 1645 4 1 0 0 1 x1 = Account balance in $ x2 = Number of ATM transactions in the month x3 = Number of other bank services used x4 = Has a debit card (1 = yes, 0 = no) x5 = Receives interest on the account X6 = City where banking is
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DataTable 1x1 = Account balance in $x2 = Number of ATM transactions in the monthx3 = Number of other bank services usedx4 = Has a debit card (1 = yes, 0 = no)x5 = Receives interest on the accountX6 = City where banking isX1X2X3X4X5X632134012137921011671010013431040135801460146341730117406300374810810176564004789186002890126103100612710110446500110531031011120124001112520310411697200312185400412667200113202071041326154103133811201114551730031474107002148784103149484012150186103152675113155411200215931041121616621021622271041645410011675451011708671021735840041746127013175611500117841680031790144104183175101183810611218851140131886430041913690141958200031989117004199571011201514500220761680022125144102213812510221441331012156185014220412400222159511322768410423756410224091230122557145102
Q11. Develop a graph or table that portrays the checking balances. What is the balance of a typicalcustomer? Do many customers have more than $2,000 in their accounts? Does it appear that there is a difference in the distribution of the accounts among the four branches? Around what value do the account balances tend to cluster?X6X1174811501118861159311474119131121811006134311494158011320117841104418901170821756221251. A typical customer has a balance of about $1500219952. Only 12 customers have balances above $2000.215263. It appears that accounts in City 2 have higher balances. The other 3 cities are almost on par.2174621616CIF21958Less than 500421675500 - 10007218851000 - 150015222041500 - 200022224092000 - 250011213382500 - 3000122076223754. The balances tend to cluster around $1000 to $2000.2112521989221563183137403155431373227632144310533112031838317353132631790332314554162241169422154167425574634478942015476541645412664213841487Mean =1499.27
Q1
CityAccount Balance ($)
Q22. Determine the mean and median of the checking account balances. Compare the mean and the median balances for the four branches. Is there a difference among the branches? Be sure to explain the difference between the mean and the median in your report.1X6X1Branch 1:Mean =1281.381748Median =1397.001150111886Branch 2:Mean =1879.6511593Median =1958.001147411913Branch 3:Mean =1359.3611218Median =1504.50110061343Branch 4:Mean =1420.6911494Median =1487.00158011320Total:Mean =1499.2711784Median =1604.50110441890117082Mean of the account balances is $1499.27 and median is $1604.5021756Both mean and median balances are the least for city 1 and highest for city 2. For city 2, the mean balance in the account is $1879.65 and the median balance is $1958, both being greater than the overall avegaes. In all cases, median is greater than the mean. The difference between mean and median balance is the least for city 4.221252199521526217462161621958216752188522204224092133822076223752112521989221563183137403155431373227632144310533112031838317353132631790332314554162241169422154167425574634478942015476541645412664213841487
Q33. Determine the range and the standard deviation of the checking account balances. What do the first and third quartiles show? Determine the coefficient of skewness and indicate what it shows. Because Mr. Selig does not deal with statistics daily, include a brief description and interpretation of the standard deviation and other measures.X6X111748Maximum =2557.0011501Minimum =32.0011886Range =2525.0011593Standard Deviation =596.3611474I Quartile =1123.7511913III Quartile =1924.2511218Skew =-0.617511006134311494Range of the balances in the accounts is $2525 and the standard deviation is $596.36. The range shows the difference between the highest and the lowest balances. The standard deviation shows how spread the data is, on an average, from the mean value.1580113201178411044189011708I quartile value of $1123.75 shows that the lowest 25% of the balances are below $1123.75. The III quartile value of $1924.25 shows that the top 25% of the account balances exceed $1924.25.21756221252199521526217462161621958216752188522204224092133822076223752112521989221563183137403155431373227632144310533112031838317353132631790332314554162241169422154167425574634478942015476541645412664213841487
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