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Statistics 4 Marks Each

PART 1 : TIME SERIES · Gujarat Board (GSEB) STD 12 Commerce (GSEB - English Medium). 9 questions.

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9 questions · timed · auto-graded

Question 14 Marks
The information about wholesale price index numbers $(WPI)$ announced by the central government is as follows. Find the trend from it using four monthly moving averages.
Month Apr$-18$ May June July August Sept. Oct. Nov. Dec. Jan.- Feb. March
$WPI$ $3.62$ $4.78$ $5.69$ $5.27$ $4.53$ $5.13$ $5.28$ $4.64$ $3.46$ $2.76$ $2.93$ $3.18$
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Question 24 Marks
The details of quarterly production of sugar in a factory are as follows. Find the trend in the series from it using moving averages of four quarters.
Year $2016$ $2017$ $2018$
Quarter $Q_{(1)}$ $Q_{(2)}$ $Q_{(3)}$ $Q_{(4)}$ $Q_{(1)}$ $Q_{(2)}$ $Q_{(3)}$ $Q_{(4)}$ $Q_{(1)}$ $Q_{(2)}$ $Q_{(3)}$ $Q_{(4)}$
Production of sugar $($quintal$)$ $50$ $54$ $60$ $62$ $64$ $72$ $75$ $78$ $80$ $83$ $88$ $90$
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Question 34 Marks
Find the trend using four monthly moving averages from the following information about the monthly profits $($in crore $₹)$ of a multinational company.
Month Jan. Feb. March April May June July Aug. Sept. Oct. Nov. Dec.
Profit $($crores$)$ $11$ $12$ $15$ $18$ $20$ $22$ $25$ $26$ $28$ $29$ $30$ $32$
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Question 44 Marks
The data about $GDP-$growth rate announced by the central government is as follows. Find the trend from it using four yearly moving averages.
Year $2006$ $2007$ $2008$ $2009$ $2010$ $2011$ $2012$ $2013$ $2014$ $2015$ $2016$ $2017$
$GDP$ growth rate $($percent$)$ $9.3$ $9.8$ $3.9$ $8.5$ $10.3$ $6.9$ $5.5$ $6.4$ $7.4$ $8.2$ $7.1$ $6.6$
Answer
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Question 54 Marks
The cost of living index number in a city is given in the following table. Obtain trend from it using five yearly moving averages.
Year $2009$ $2010$ $2011$ $2012$ $2013$ $2014$ $2015$ $2016$ $2017$ $2018$
Cost of living index number $176$ $180$ $184$ $190$ $203$ $230$ $275$ $264$ $280$ $288$
Answer
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Question 64 Marks
The details of production in the last six years of a company manufacturing $\text{LED TV}$ are as follows. Find the estimated trend values for each year by fitting a linear equation for trend from it and obtain the estimates for the production in the year $2018$ and year $2019.$
Year $2012$ $2013$ $2014$ $2015$ $2016$ $2017$
Production $($lakh items$)$ $1.32$ $1.4$ $1.52$ $1.64$ $1.67$ $1.83$
Answer
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Question 74 Marks
The following data is noted about the production of wheat in a country. Fit an equation for linear trend from it and find the trend value of each given year. Obtain an estimate for the production of wheat for the year $2021 .$
Year $1951$ $1961$ $1971$ $1981$ $1991$ $2001$ $2011$
Literacy rate $21.82$ $31.47$ $36.95$ $44.92$ $61.29$ $69.14$ $79.31$
Answer
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Question 84 Marks
The information about literacy rate in Gujarat state is as follows. Fit a linear trend from it and obtain an estimate for the literacy rate for the year $2021 .$
Year $1951$ $1961$ $1971$ $1981$ $1991$ $2001$ $2011$
Literacy rate $21.82$ $31.47$ $36.95$ $44.92$ $61.29$ $69.14$ $79.31$
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Question 94 Marks
The data about yearly production of cotton in Gujarat state is as follows. Obtain a linear equation from the data to find the trend of yearly production by the method of least squares. Obtain an estimate for the yearly production of cotton in the year $2016-17$ and $2017-18.$
Year $2009-10$ $2010-11$ $2011-12$ $2012-13$ $2013-14$ $2014-15$
Yearly production of cotton $635$ $686$ $689$ $633$ $733$ $708$
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4 Marks Each - Statistics STD 12 Commerce Questions - Vidyadip