Business Statistics Practicle

Computer Lab - Practical Question Bank BUSINESS STATISTICS

FACULTY OF COMMERCE, OSMANIA UNIVERSITY------------------------------------------------------------------------------------------------------------

B.Com (All Streams) II Year W.E.F.2009-10

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Time: 60 Minutes Record : 10Skill Test : 20 Total Marks : 30

Note: Problems are to be solved by using computers (Excel/Accounting package).

PROBLEM: 1

. Draw a simple bar diagram to represent the following figures relating to manufacturing of machines.

Years 2000 2001 2002 2003 2004

No. of machines 1200 1700 1900 2800 2100

Steps:

1. Open the excel worksheet2. Enter the heading “manufacturing of machines” in the 1st row3. Enter the column heading ”year” in A2 cell and no. of machines in B2 cell4. Enter the data for year and no. of machines respectively5. Select the data from B3 to B7 cell6. Click on inset on the menu bar and from the drop down menu click on chart option7. Select the chart type column and elect required chart subject8. Click on next button9. Data range is already selected. Click on series option and enter in the category X-axis10. Table 2000,2001,2002,,2003,2004. Click on next button11. Click on title and enter chart title as “manufacturing of machines” category X-axis as

years n Y-axis as “no of machines”12. Click on next button and click on finish button.

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PROBLEM: 2

2. The following table gives the result of B.Com students of a college for Four year.Draw a multiple bar diagram from the following data:

Year First Division Second Division Third Division

1993 10 30 50

1994 12 45 70

1995 14 50 60

1996 11 40 75

Steps:

1. Open the excel worksheet.2. Enter the heading “division” in 1st row3. Enter the column heading “years” in A2 cell. 1st division in B2 cell 2nd division in C2 cell

and 3rd division in D2 cell4. Enter the data for years in 1st,2nd and 3rd division5. Select the data from B2-B6 and D2-D66. Click on insert option on the menu bar and click on chart option7. Select the chart type column and select the required chart type8. Click on next button 9. Data range is already selected. Click on the series option and enter in the category X-axis

labels 1993,94,95,9610. Click on the titles and enter chat titles as “result of b.com students” and Y –axis as

division11. Click on the next option n click on the finish button

PROBLEM: 3





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3. The following data relate to the monthly expenditure (in rupees) of two families A and B.

Items of expenditure

Expenditure in Rs.

Family – A Family – B

Food 1600 1200

Clothing 800 600

Rent 600 500

Light 400 200

Fuel 800 600

Represent the above data by a suitable percentage diagram.

Steps:

1. Open excel worksheet2. Enter the heading “expenditure” in 1st row3. Enter the items of expenditure in A2 cell and items from A3-A7 cells4. Family A enters into B2 cell and values from B3-B7 cell5. Select the range of a data from A3-A7 and C3-C76. Click on the insert on the menu bar and from the drop down menu click on the chart

option7. Select the chart type column and select the required chart type8. Click on the next and click on the rows ratio buttons9. Enter the title “expenditure” in the title option10. Enter the title “expenditure” in the title option. Enter % in the values of Y-axis11. Click on data labels and select series names.12. Click on gridlines and remove the tick mark from major gridlines13. Click on next button and click on finish button





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PROBLEM: 4

4. Create a Pie diagram to represent the following data of profits of HLT Ltd:





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Years 2002 2003 2004 2005 2006

Profits 5,000 10,000 25,000 30,000 20,000

Steps:

1. Open excel worksheet 2. Enter the heading “pie diagram” in 1st row3. Enter the heading “year” in A3 cell and “profits” in B3 cell4. Enter the years 2002,2003,2004,2005,2006 in A4-A8 cells5. Enter the profit values 5000,10000,25000,30000 and 20000 in B4-B8 cells6. Select the range B4-B87. Select insert menu and select chart and click on pie chart8. Click on next and click on series tab9. In the category labels enter 2002,2003,2004,2005,2006 or select the range from A4-A810. Click on next 11. Click on title and the chart title :profits of HLT ltd12. Click on data labels and click on show label and % ration button13. Click on next button and click on finish button.

PROBLEM: 5

5. The following table shows the net revenue earned by railways during Nine years period as given below:





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Year Amount

1990-91 227

1991-92 127

1992-93 403

1993-94 554

1994-95 379

1995-96 270

1996-97 686

1997-98 581

1998-99 721

Draw a line diagram from the above data.

Steps:

1. Open excel worksheet2. Enter the heading “net revenue” in 1st row3. Enter the column heading “year” in A2 cell and “net revenue” in B24. Enter the data for yrs from A3-A11 cells and amount in B2 cell5. Select the range of data from A3-A11 & B3-B116. Click on insert menu bar & click on chart option7. Select the chart type line & select the required chart subject8. Click on next button9. Click on titles and enter chart titlr as “net revenue” category X-axis “years” and Y-axis

“amount”10. Click on next button and click on finish button





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PROBLEM: 6

6. Find Arithmetic mean for the following frequency distribution:

Marks 0-10 10-20 20-30 30-40 40-50 50-60

No of students 10 20 50 60 40 20

Steps:

1. Open excel worksheet





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2. Enter the heading “calculation of mean”3. Enter the column as marks in A2 cell and no. of students in B2 cell, midpoint in C2 cell

and “fm” in D2 cell4. Enter the marks in A3-A8 cell and no. of students in B3-B8 cells5. To calculate the total of “f” ie N place the cursor on B9 cell6. Click on insert and select function option7. Select category as “maths & frig” & functions as “sum”8. Click on ok button9. Select the range from B3-B8 cell and click on ok10. To calculate mid point place the cursor in C3 cell Formula=0+10/2

and press enter11. Report the same for calculating the remaining mid point12. To calculate FM, place the cursor in C3 cell and enter the formula B3*C3 and press enter13. Use the fill handle and drag to copy the remaining cells14. To calculate the local of FM place the cursor in D9 cell15. Select category as “maths to frig” and function as “sum”16. Select through the range from D3 and click on ok button17. To calculate “mean” place the cursor in D11 cell and write the formula=D9/B9 and

press enter. The mean value will be displayed as 33

PROBLEM: 7

7. From the following data find the value of Median.

X: 10 20 30 40 50 60 70

F: 4 7 21 34 25 12 3

Steps:






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2. Enter the column “calculation of median”3. Enter the column heading as “X” in B2 cell and “F” in C2 cell n CF in D2 cell and serial

no. in A2 cell4. Enter the serial no. in A3-A9 cell and X in B3-B9 cell and F in C3-C9 cell5. Select the X &F column &click on the data on the menu bar6. Click on sort opti0n and select ascending order7. The X will be sorted in ascending order with its respective frequencies8. To calculate CF place place the cursor in D3 cell and enter the formula=C3+D and press

enter9. Now place the cursor in the next cell ie D4 and enter the formula=D3+C4 and press enter10. Using fill handle to drag and copy the formula to the remaining cells11. To calculate M=N+1/2 place the cursor in D11 cell and write the formula=(C10+1)/2

and press enter B3 5th item will appear in D10 cell12. The corresponding size of 53.5 the item is co ie median=12

PROBLEM: 8

8. The monthly profits in rupees of 100 shops are distributed as follows:

Profit per shop 0-100 100-200 200-300 300-400 400-500 500-600

No of shops 10 18 27 20 16 9

Calculation of mode from the above data.

Steps:






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2. Enter the heading “calculation of mode” in 1st row3. Enter the column heading “class” in A2 cell and no. of shops “F” in B2 cell4. Enter the class interval in A3-A8 and F in b3-b8 CELL5. By Inspection mode is lies in the class 200-3006. Enter 100 in A10 &200 in B10 cell7. Enter A1 in A11 cell and enter the formula=B5-B4 and press enter8. Enter A2 in A12 cell and enter the formula=B5-b6 and press enter9. Enter “I” in A13 cell and 100 in b13 cell10. To calculate mode place the cursor in B14 cell and enter the formula=B10+[B11/(B11 to

B12) B12 n press enter11. The value of mode=256.25 will be displayed in B14 cell

PROBLEM: 9

9. Calculate the Harmonic mean from the given data:

X: 10 20 40 60 120

F: 1 3 6 5 4

Steps:

1. Open excel worksheet2. Enter the heading “calculation of harmonic mean” in 1st row3. Enter X in A2 cell and F in B2 n FX in C2 cell4. Enter the X values from A3-A7 cell and F values from B3-B7 cells





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5. To calculate FX place the cursor in C3 cell and enter the formula=B3/A3 and press enter6. Use the fill hand to drag and copy the formula to the remaining cells7. Enter N in A9 cell and to calculate N place the cursor in B9 cell and use sum functions8. Enter EFX in A10 cell and to calculate N place the cursor in C10 cell n use sum functions9. Enter HM in A11 cell and to calculate HM place the cursor in C11 cell and enter the

formula=B9/C10 and press enter10. The HM will be displayed in C11 cell

PROBLEM: 10

10. Calculate range and its co-efficient from the following data:

Marks 10-20 20-30 30-40 40-50 50-60

No. of students 16 20 24 16 8

Steps:

1. Open excel worksheet2. Enter the heading “calculation of range” in 1st row3. Enter the “marks” in cell A2 and “no of students” in B3 cell4. Enter the marks from A3-A7 cell and no. of students from B3-B7 cell5. Enter the L in A9 cell and 60 in B9 cell and enter S in A10 cell and 10 in B10 cell6. Enter range=L-S in all cells and enter the formula=B9-B10 in B11 cell and click enter





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7. Enter L+S in A12 cell and enter the formula=B9+B10 in B12 cell and click enter8. Enter coefficient of range=L-S/L+S in A13 cell and enter the formula=B11/B12 in B13

cell n click enter

PROBLEM: 11

11. From the following data find quartile deviation and its co-efficient:

X: 10-15 15-20 20-25 25-30 30-35 35-40 40-45 45-50

F: 8 10 12 15 10 7 8 5

Steps:1. Open excel worksheet2. Enter the heading “calculation of quartile deviation ant its coefficient” 3. Enter the column heading X in A2 cell n F in B2 cell and CF in C2 cell4. Enter the column X from A3-A10 cell F from B3-B10 cell5. To calculate LF place the cursor in C3 cell and enter the formula=o+B3 and press

enter6. Again place the cursor in C4 cell and enter the formula=C3+B4 and press enter





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7. Enter N in all cell and to calculate N i.e. total frequency place the cursor in B11 cell and use sum function

8. Enter Q1=size of N/4th item in A12 cell and to calculate Q1 place the cursor in B12 cell and enter formula=B11/4 and press enter Q1=size of 19th item. Q1 lies in the class interval

9. Enter the formula in C12 cell Q1={4+(N/4)-C-FXI}/F ;where, L=nil, N/4=19, CF=nil, F=nil, I=5

10. To calculate Q1 place the cursor in D12 cell and enter the formula and press enter11. Enter Q3=size of 3(M/4) item in A13 cell and to calculate Q3 place the cursor in B13

cell and enter the formula=3(B11/4) and press enter. Q3=size of 57th item. Q3 lies in class interval 35-40

12. Enter in C13 cell the formula=Q3={L+3(N/4)-CFXI}/F ;where L= 3N, 3N/4, CF=55, F=8 &I=5

13. To calculate Q3 place the cursor in B13 cell and enter the formula=(D13-D12)/2 and press enter =35+(57.55/8)*5 and press enter

14. Enter QD=Q3-Q2 in A14 cell and to calculate QD place the cursor in B14 cell and enter the formula=(D13-D12)/2 and press enter

15. Enter coefficient of QD=(Q3-Q1)/(Q3+Q1) in A15 cell and to calculate it place the cursor in B15 cell and enter the formula=(D13-D12)/D(D13+D12) and press enter





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PROBLEM: 12

12. Calculate the mean deviation from mean from the following data. Also find its co-efficient.

X: 5 10 15 20 25 30

F: 3 4 8 12 7 2

Steps:

1. Open excel worksheet2. Enter the title “calculation of mean deviation” in 1st row3. Enter the column heading X in A2 cell, F in B2 cell, FX in C2 cell , deviation from

mean in D2 cell, deviation from ignoring sign in E2 cell and F(D) in F2 cell4. Enter the data of X from A3-A8 cell and F values from B3-B8 cells5. Enter N in A9 cell and to calculate N, place the cursor in B9 cell and use sum functions6. To calculate FX , place the cursor in C3 cell and enter the formula=A3*B3 and press

enter. use the fill handle to copy the formula to the remaining cell





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7. Enter Efx in A10 cell and to calculate Efx place the cursor in C10 cell n use sum function8. Enter mean=Efx/N in all cells and to calculate mean place the cursor in B11 cell and

enter the formula=C10/B9 and press enter9. To calculate deviation from mean=18.1 ie D. place the cursor in D3 cell and enter the

formula=B11-A3 and press enter. Use fill handle to copy the formula to remaining cells10. Enter the same values to calculate deviation from ignoring sign from E3-E8 cell11. To calculate FD in E9 cell and to calculate EFD place the cursor in F9 cell and use sum

function12. To calculate FD place the cursor in F3 cell and enter the formula=B3*E2 and press enter .

use fill handle to copy the formula to remaining cells13. Enter MD=EFDN in A12 cell and to calculate it place the cursor in B12 cell and enter the

formula=F9/B9 and press enter14. Enter coefficient of MD=MD/mean in A13 cell and to calculate it place the cursor in B13

cell and enter the formula





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PROBLEM: 13

13. Compute standard deviation with the help of assumed mean.

Marks 10 20 30 40 50 60

No. of students 8 12 20 10 7 3

Steps:

1. Open excel worksheet2. Enter the title “calculation of SD” in 1st row3. Enter marks X in A2 cell , F in B2 cell (X-A), A=30, in C2 cell , FD in D2 cell and FD2

in E2 cell4. Enter the data of marks from A3-A8 cell and no. of students from B3-B8 cell5. Let assumed mean A=306. To calculate D1 place the cursor in C3 cell and enter the formula=A3-30 and press enter

and use fill handle to copy the formula to the remaining cells7. To calculate FD place the cursor in D3 cell and enter the formula B3*D3 and press enter

and use fill handle to copy the formula to remaining cells8. To calculate FD2 place the cursor in E3 cell and enter the formula=D3*D3 and press

enter and use fill handle to copy the formula to remaining cells9. Enter N in A9 cell and to calculate N ie total frequency, place the cursor in B9 cell and

use sum function10. Enter Efd in A10 cell and to calculate Efd place the cursor in D10 cell and use sum

function





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11. Enter Efd2 in A11 cell and to calculate Efd2 place the cursor in A 11 cell and use sum functions

12. Enter Efd/n2 in A12 cell and to calculate (Efd/N)2 and place the cursor in E12 cell and use the formula=(D10/B9)*(D10/B9) and press enter

13. Enter Efd2/N in A3 cell and to calculate Efd2/n place the cursor in E13 and us the formula=E11/B9 and press enter

14. Enter Efd2/N – (Efd/N)2 in A14 cell and to calculate place the cursor in E14 cell and use the formula=E13-E12 and press enter

15. Enter sq root {Efd2/N – (Efd/N2)} in E15 cell and t calculate it place the cursor in E15 cell and use the formula=sq root (E14) and press enter

16. The value of SD is displayed in cell E15





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PROBLEM: 14

14. From the following data find out the Karl pearson’s Co-efficient of Skewness:

X: 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5

F: 35 40 48 100 125 87 43 22

Steps:

1. Open the excel worksheet2. Enter the title “calculation of coefficient of skewness” 3. Enter X in A2 cell ,F in B2 cell, (X-A) A=??, i.e. D in E2 cell, F2 in D2 cell and FD2 in

E2 cell4. Enter the data from X A3-A10 cell and F from B3-B10 cell5. Let us assume A as__6. To calculate D, place the cursor in C3 cell and enter the formula E3-A enter and use the

fill handle to copy the formula to the remaining cells7. To calculate FD, place the cursor in D3 cell and enter the formula=B3*D3 and us ethe fill

handle to copy the formula to the remaining cells8. To calculate fd2 place the cursor in E3 cell and enter the formula=D3*D3 and press enter

and use fill handle to copy the formula to the remaining cells9. Enter N in A11 cell and to calculate N ie total frequency, place the cursor in B11 and use

sum functions10. Enter Efd in A12 cell and to calculate Efd place the cursor in D12 cell and use sum

functions11. Enter Efd2 in A13 cell and to calculate Efd2 place the cursor in C13 cell and use some

functions12. Enter mean=A+Efd/N in A11 cell and to calculate mean place the cursor in E14 cell and

use the formula= and press enter





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13. Enter Efd2/N in A15 cell and to calculate it place the cursor in E15 cell and use the formula=E18/C11 and press enter

14. Enter ED2/N2 in A16 cell and to calculate it place the cursor in E16 cell and use the formula=(D12/B11)*(D12/11) and press enter

15. Enter Efd2/N=(Efd/N)2 in A17 cell and to calculate it place the cursor in E17 cell and use the formula E15-E16 and press enter

16. Sq root of Efd2/N – (Efd/N)2 in A18 cell and to calculate it place the cursor in E18 cell and use the formula sq rt (6N) and press enter

17. Enter mode in A19 cell and E19 cell18. Enter coefficient of skewness=M-mode/SD and place the cursor in E20 cell and press

enter . the value of SK will be displayed





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PROBLEM: 15

15. Find Bowley’s Co-Efficient of Skewness for the following data:

No.of Children per family 0 1 2 3 4 5 6

No. of families 7 10 16 25 18 11 8

Step:

1. Open excel worksheet2. Enter the title “ calculation of skewness” 3. Enter X in A2 cell, F in B2 cell and CF in C2 cell and enter the data of X from A3-A9

cell and F from B3-B9 cell4. To calculate CF place the cursor in C3 cell and enter the formula=0+B3 and press enter5. Again place the cursor in C4 cell and enter the formula=C3+B4 and press enter . use fill

handle to copy the formula to the remaining cells6. Enter N in A10 cell and to calculate N ie total frequency, place the cursor in B10 cell and

use sum function7. Enter Q1=sum of N+1/4th item in A11 cell and to calculate Q1 place the cursor in B11

cell and enter the formula=(B10+1)/4 and press enter8. Enter Q3=size of 3 (N+1)/4th item in A12 cell and to calculate Q3 place the cursor in B12

cell and enter the formula={3(B10+1)}/4 and press enter9. Enter median=size of N+1/2th item in A13 cell and to calculate Q3 place the cursor in

B12 and enter the formula={3(B10+1)}/4 and press enter10. Enter skewness=(Q3+Q1-2 median)/Q3-Q1 in A14 cell and to calculate skewness place

the cursor in B14 cell and enter the formula=(B12+B11-2*B13)/(B12-B11) and press enter





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PROBLEM: 16

16. Find out Average and variance from the following data:

Roll No. 1 2 3 4 5 6 7 8 9 10

Marks 45 55 35 65 40 30 65 34 45 70

Steps:

1. Open excel worksheet2. Enter the heading “calculation of average and variance”3. Enter the column heading “roll no” in A2 cell and “marks” in B2 cell4. Enter the roll nos 1-10 in A3-A12 cell 5. Enter the marks in B3-B12 cells6. Place the cursor in A13 cell and type avg7. Place the cursor in A14 cell and type variance8. Place the cursor in B13 cell and select insert menu and select function option or click on

function option from the standard tool bar9. Select statistical from function category abd avg from function name them and select ok10. Enter the range B3:B12 and select ok11. Avg marks of the 10 students 15 displpayed in B13 cell as 48.412. Place the cursor in B14 cell and select insert and click function option13. Select statistical form from function category and variance from function name and then

select ok14. Enter the range B3:B12 and click on ok15. The variance of marks of 10 students is displayed in B14 as 208.9





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PROBLEM: 17

17. Calculate correlation from the following data.

Attendance 30 40 50 60 70 80

Marks 40 50 70 80 90 93

Steps:

1. Open excel worksheet2. Enter the title “calculation of correlation”3. Enter the column heading as “attendance” in A2 cell and marks in B2 cells, 2nd enter the

value of attendance in A3-A10 cells and marks in B3-B10 cells4. Enter correction in A9 cell 5. Place the cursor in B9 cell and select insert menu and select function option6. Select statistical form from function category and correlation from function name 7. Click ok and select the range from arrays

array 1 as A3:A8 and array 2 as B3:B88. Click ok9. The output is displayed in B9 cell as 0.078596





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PROBLEM: 18

18. Calculate the probable error, If R = 0.8 and N = 7.

Steps:

1. Open excel worksheet2. Enter the title “calculation of probable error” in 1st row3. Enter R in A2 cell and 0.8 in B2 cell4. Enter R2 in A3 cell and N in B3. Formula B2*B3 and press enter5. Enter N in A4 cell and enter 7 in B4 cell6. Enter sq rt N in A5 cell and calculate sq rt N. place the cursor in B5 cell and enter the

formula sq rt (B4) and press enter7. Enter probable error in A6 cells and to calculate probable error ie PE place the cursor in

B6 cell and enter the formula=0.6745*(1-B3)/B5

PROBLEM: 19





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19. Two Judges X and Y assign the following ranks to give entries in a beauty contest.

Calculate rank correlation co-efficient.

A B C D E

X: 1 2 3 5 4

Y: 2 1 4 3 5

Steps:

1. Open excel worksheet2. Enter the title of spearman rank correlation in 1st row3. Enter XR1 in A2 cell YR2 in B2 cell (R1-R2)D in C2 cell and D2 in D2 cell4. Enter data of ranks in XR column from A3-A7 cells and in YR column and B3-B7 cells5. To calculate D place the cursor in C3 cell and enter the formula=A3-B3 and press enter.

Use fill handle to copy the formula6. To calculate D2 place the cursor in D3 cell and enter the formula=C3-C3 and press enter

use fill handle to copy the formula7. Enter Ed2 in E9 cell and to calculate Ed2 and place the cursor in D9 cell and use sum

function8. Enter N in A8 cell and 5 in B8 cell 9. Enter N3 in A9 cell and to calculate it place the cursor in B9 cell and enter the formula

(B8)3 and press enter10. Enter N3-N in A10 cell and calculate N3-N Formula B9-B811. Enter RS in A11 cell and to calculate RS place the cursor in B11 cell and the formula is

1-(6*D9)/B10 and press enter

PROBLEM: 20





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20. From the following data obtain the two regression equations and calculate the correlation co-efficient:

X: 1 2 3 4 5 6 7 8 9

Y: 9 8 10 12 11 13 14 16 15

Steps:

1. Open excel worksheet2. Enter the title calculation of regression equation3. Enter X in F2 cell and (X-x)x in B2 cell. In C2 cell Y2 in F2 cell and XY in G2 cell4. Enter X values from A3-A11 cells and Y values from D3-D11 cells5. Enter EX in A12 cell to calculate EX place the cursor in A13 cell6. Enter N in A14 cell and A in A15 cell7. Enter mean=EX/N in A16 cell and to calculate the mean place the cursor in A17 cell and

enter the formula=A13/A15 and press enter8. To calculate X that ie (X-x) place the cursor in B3 cell and enter formula=(A3-A8)/17

and press enter use fill handle to copy the formula9. Enter EX in B12 cell and to calculate EX place the cursor in B 13 cell and use sum

function10. To calculate X2 place the cursor in C3 cell and enter formula=B3*B3 and press enter11. Enter EX in D12 cell and to calculate EX place the cursor in B13 cell and use sum

function12. Enter mean =EY/N in D16 cell and to calculate mean the cursor in D17 cell and enter the

formula=D13/A15 and press enter13. To calculate y ie(Y-y) place the cursor in E3 cell formula=14. Enter EY and place the cursor in C3 cell and use sum function15. To calculate Y2 place the cursor in F3 cell enter formula=EX*E3 and press enter and use

fill handle to copy the formula16. Enter EX2 in C12 cell and to calculate EX2 place the cursor in C13 and use sum function17. Enter EY2 in F12 cell and to calculate place the cursor in F13 cell and use sum function18. To calculate XY place the cursor in G3 cell enter the formula B3*BE and press enter





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19. Enter EXY in G12 cell and to calculate EXY place the cursor in G13 cell and use sum function

20. Enter R=EXY/EY2 ie regression of X on Y in A18 cell and to calculate it place he cursor in B18 cell and enter the formula=G13/F13 and press enter

21. Enter R=EXY?EX2 regression of Y on X in C18 cell and to calculate it place the cursor in D18 cell and enter the formula=G13/C13 and press enter

22. Merge the required cells and enter the regression equation

PROBLEM: 21

21. The following figures relate to the profits of a commercial concern for 8 years. Calculate three yearly moving average.





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Years: 1976 1977 1978 1979 1980 1981 1982 1983

Profits (Rs.) 15,420 14,470 15,520 21,020 26,120

31,950 35,370 34,670

Steps:

1. Open excel worksheet2. Enter the heading 3 yrs moving average in 1st row3. Enter the column heading yr in A2 cell profit sin B2 cells and yearly moving avg in D2

cell4. Enter the yr values from A3-A10 cell sand profits from B3-B10 cells5. To calculate 3 yr moving avg total place the cursor in C4 cell and enter the formula=

sum(B3:B5) and press enter and use fill handle to copy the formula

6. To calculate 3 yrs moving avgs place the cursor in D4 cell and enter the formula=C4/3 and press enter us the fill handle to copy the formula

PROBLEM: 22





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22. Fit a straight line trend by the method of least squares to the following data. Assuming that same rate of change continues. What would be the predicted earnings for the year 1987.

Year : 1978 1979 1980 1981 1982 1983 1984 1985

Earnings

(in lakh Rs.)

38 40 65 72 79 60 87 95

Steps:

1. Open excel worksheet2. Enter the title fiting if a straight line trend by least square method in 1st row3. Enter yr in A2 cell , earning in B2 cell . deviation from MD point ie C2 cell and X2 in F2

cell4. Enter the yrs from A3-A10 and earning from B3-B10 cells5. Enter the deviation=3.5 in C3 cell , 2.5 in C4 cell, 1.5 in C5 cell, -0.5 in C6 cell and 0.5

in C7 cell 1.5 in C8 cell and 2.5 in C9 cell6. Place the cursor in D3 cell and enter the formula=2*C3 and press enter and use fill handle

to copy the formula7. To calculate XY place the cursor in E3 cell and enter the formula=B3*D3 and press enter

use fill handle to copy formula8. To calculate X2 place the cursor in F3 cell and enter formula=D3*D3 and press enter

PROBLEM: 23

23. From the following data, construct an index for 1991 taking 1990 as base:





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Commodities Price in 1990 Rs. Price in 1991 Rs.

A 45 50

B 55 60

C 20 40

D 50 60

E 85 90

F 95 110

Steps:

1. Open excel worksheet2. Enter the heading calculation of price index in 1st row3. Enter the commodities in A2 cell, price of 1990 in B2 cell and price of 1991 in C3 cell4. Enter the commodities data from A3-A8 cell and price in 1990 values from B3 to B8

cells in 1991 values from C3-C8 cells5. Enter Ep0 in B9 cell and calculate Ep0 place the cursor in B10 cell and us assume

function6. Enter Ep1 in B10 cell to calculate Ep1 cursor in C10 cell and use sum function7. Enter P01=(Ep1/Ep0)*100 in A1 cell and to calculate P01 place the cursor in B11 cell

and use the formula=C10/B10 and press enter

PROBLEM: 24





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24. The Annual wages (in Rs.) of workers are given along with consumer price indices. Find (i) the real wages and ii) the real wage indices.

Years 1990 1991 1992 1993

Wages 1800 2200 3400 3600

Consumer price indices 10 170 300 320

Steps:

1. Open excel worksheet2. Enter construction of real wage indices3. Enter ye in A2 cell wages rs1 in B2 and the price index in C2 cell, real wage in D2 cell

and real wage indices 4. Enter yr values from A3-A6 cells wages from B3-B6 cells and price index from C3-C6

cells5. To calculate real wages place the cursor in D3 cell and enter the formula=(B3/C3)*100

and press enter 6. To calculate real wage indices place the cursor in E3 cell and entre 100 and given place

the cursor in E4 cell and enter the formula (D4/D3)*100 and press enter

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Documents

Business Statistics Practicle