St. Britto Hr. Sec. School - Madurai
12th Business Maths Monthly Test - 2 ( Applied Statistics )-Aug 2020
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Mention the components of the time series.
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Using three yearly moving averages, Determine the trend values from the following data.
Year Profit Year Profit 2001 142 2007 241 2002 148 2008 263 2003 154 2009 280 2004 146 2010 302 2005 157 2011 326 2006 202 2012 353 -
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Calculate the seasonal index for the quarterly production of a product using the method of simple averages.
Year I Quarter II Quarter III Quarter IV Quarter 2005 255 351 425 400 2006 269 310 396 410 2007 291 332 358 395 2008 198 289 310 357 2009 200 290 331 359 2010 250 300 350 400 -
Fit a trend line by the method of semi-averages for the given data.
Year 1990 1991 1992 1993 1994 1995 1996 1997 Sales 15 11 20 10 15 25 35 30
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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 -
The following data gives readings of 10 samples of size 6 each in the production of a certain product. Draw control chart for mean and range with its control limits.
Sample 1 2 3 4 5 6 7 8 9 10 Mean 383 508 505 582 557 337 514 614 707 753 Range 95 128 100 91 68 65 148 28 37 80 -
The data shows the sample mean and range for 10 samples for size 5 each. Find the control limits for mean chart and range chart.
Sample 1 2 3 4 5 6 7 8 9 10 Mean 21 26 23 18 19 14 14 20 16 10 Range 5 6 9 7 4 6 8 9 4 7 -
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 -
Calculate four-yearly moving averages of number of students studying in a higher secondary school in a particular city from the following data.
Year 2001 2002 2003 2004 2005 2006 2007 2008 Sales 124 120 135 140 145 158 162 170 -
Calculate the cost of living index number by consumer price index number for the year 2016 with respect to base year 2011 of the following data.
Commodities Price Quantity Base year Current year Rice 32 48 25 Sugar 25 42 10 Oil 54 85 6 Coffe 250 460 1 Tea 175 275 2 -
Calculate the cost of living index number for the following data.
Commodities Quantity
2005Price 2005 2010 A 10 7 9 B 12 6 8 C 17 10 15 D 19 14 16 E 15 12 17 -
Calculate Fisher’s price index number and show that it satisfies both Time Reversal Test and Factor Reversal Test for data given below.
Commodities Price Quandity 2003 2009 2003 2009 Rice 10 13 4 6 Wheat 125 18 7 8 Rent 25 29 5 9 Fuel 2511 14 8 10 Miscellaneous 14 17 6 7 -
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Construct the cost of living index number for 2011 on the basis of 2007 from the given data using family budget method.
Commodities Price Weights 2007 2011 A 350 400 40 B 175 250 35 C 100 115 15 D 75 105 20 E 60 80 25 -
Calculate the cost of living index number for the year 2015 with respect to base year 2010 of the following data.
Commodities Number of
Units
(2010)Price
(2010)Price
(2015)Rice 5 1500 1750 Sugar 3.5 1100 1200 Pulses 3 800 950 Cloth 2 1200 1550 Ghee 0.75 550 700 Rent 12 2500 3000 Fuel 8 750 600 Misc 110 3200 3500
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Calculate Fisher’s price index number and show that it satisfies both Time Reversal Test and Factor Reversal Test for data given below.
Commodities Base Year Current Year Price Quantity Price Quantity Rice 150 5 11 6 Wheat 12 6 13 4 Rent 14 8 15 7 Fuel 16 9 17 8 Transport 18 7 19 5 Miscellaneous 20 4 21 3