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12th Business Maths Monthly Test - 3 ( Applied Statistics )

St. Britto Hr. Sec. School - Madurai

12th Business Maths Monthly Test - 3 ( Applied Statistics )-Aug 2020

Time : 1.30 Hours

Part - A

Generic 2 - Answer All Question

Compute the consumer price index for 2015 on the basis of 2014 from the following data.

Commodities Quantities Prices in 2015 Prices in 2016

A 6 5.75 6.00

B 6 5.00 8.00

C 1 6.00 9.00

D 6 8.00 10.00

E 4 2.00 1.50

F 1 20.00 15.00

Calculate the cost of living index by aggregate expenditure method:

Commodity Weights
2010 Price (Rs.)

2010 2015

P 80 22 25

Q 30 30 45

R 25 42 50

S 40 25 35

T 50 36 52

Compute the average seasonal movement for the following series

Year Quarterly Production

I II III IV

2002 3.5 3.8 3.7 3.5

2003 3.6 4.2 3.4 4.1

2004 3.4 3.9 3.7 4.2

2005 4.2 4.5 3.8 4.4

2006 3.9 4.4 4.2 4.6

Using the following data, construct Fisher’s Ideal Index Number and Show that it satisfies Factor Reversal Test and Time Reversal Test?

Commodities Price Quantity

Base Year Current year Base Year Current year

Wheat 6 10 50 56

Ghee 2 2 100 120

Firewood 4 6 60 60

Sugar 10 12 30 24

Cloth 8 12 40 36

Discuss about Cost of Living Index Number.

Construct the cost of living Index number for 2015 on the basis of 2012 from the following data using family budget method.

Commodity Price Weight

2012 2015

Rice 250 280 10

Wheat 70 280 5

Corn 150 170 6

Oil 25 35 4

Dhal 85 90 3

Part - B

Generic 3 - Answer All Question

Fit a trend line by the method of freehand method for the given data

Year 2000 2001 2002 2003 2004 2005 2006 2007

Sales 30 46 25 59 40 60 38 65

Calculate the seasonal index for the monthly sales of a product using the method of simple averages.

Months Jan Feb Mar Apr May June July Aug Sep Oct Nov Dec

Year

2001 15 41 25 31 29 47 41 19 35 38 40 30

2002 20 21 27 19 17 25 29 31 35 39 30 44

2003 18 16 20 28 24 25 30 34 30 38 37 39

Given below are the data relating to the sales of a product in a district.
Fit a straight line trend by the method of least squares and tabulate the trend values.

Year 1995 1996 1997 1998 1999 2000 2001 2002

Sales 6.7 5.3 4.3 6.1 5.6 7.9 5.8 6.1

A machine drills hole in a pipe with a mean diameter of 0.532 cm and a standard deviation of 0.002 cm. Calculate the control limits for mean of samples 5.

Given below are the data relating to the production of sugarcane in a district.
Fit a straight line trend by the method of least squares and tabulate the trend values.

Year 2000 2001 2002 2003 2004 2005 2006

Prod. of Sugarcane 40 45 46 42 47 50 46

Fit a trend line by the method of semi-averages for the given data.

Year 2000 2001 2002 2003 2004 2005 2006

Production 105 115 120 100 110 125 135

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