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HSC Commerce: Marketing and Salesmanship 12th Standard Board Exam - Maharashtra State Board Important Questions

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The following trend line equation was developed for annual sales from 1984 to 1990 with 1984 as base or zero year.

Y = 500 + 60X (in 1000 ₹). The estimated sales for 1984 (in 1000 ₹) is

Appears in 1 question paper
Chapter: [12] Time Series
Concept: Components of a Time Series

The complicated but efficient method of measuring trend of time series is ______

Appears in 1 question paper
Chapter: [12] Time Series
Concept: Measurement of Secular Trend

State whether the following statement is True or False: 

Moving average method of finding trend is very complicated and involves several calculations

Appears in 1 question paper
Chapter: [12] Time Series
Concept: Measurement of Secular Trend

Following table shows the amount of sugar production (in lac tons) for the years 1971 to 1982

Year 1971 1972 1973 1974 1975 1976
Production 1 0 1 2 3 2
Year 1977 1978 1979 1980 1981 1982
Production 4 6 5 1 4 10

Fit a trend line by the method of least squares

Appears in 1 question paper
Chapter: [12] Time Series
Concept: Measurement of Secular Trend

Obtain the trend values for the data, using 3-yearly moving averages

Year 1976 1977 1978 1979 1980 1981
Production 0 4 4 2 6 8
Year 1982 1983 1984 1985 1986  
Production 5 9 4 10 10  
Appears in 1 question paper
Chapter: [12] Time Series
Concept: Measurement of Secular Trend

Use the method of least squares to fit a trend line to the data given below. Also, obtain the trend value for the year 1975.

Year 1962 1963 1964 1965 1966 1967 1968 1969
Production
(million barrels)
0 0 1 1 2 3 4 5
Year 1970 1971 1972 1973 1974 1975 1976  
Production
(million barrels)
6 8 9 9 8 7 10  
Appears in 1 question paper
Chapter: [12] Time Series
Concept: Measurement of Secular Trend

Complete the table using 4 yearly moving average method.

Year Production 4 yearly
moving
total
4 yearly
centered
total
4 yearly centered
moving average
(trend values)
2006 19  
    `square`    
2007 20   `square`
    72    
2008 17   142 17.75
    70    
2009 16   `square` 17
    `square`    
2010 17   133 `square`
    67    
2011 16   `square` `square`
    `square`    
2012 18   140 17.5
    72    
2013 17   147 18.375
    75    
2014 21  
       
2015 19  
Appears in 1 question paper
Chapter: [12] Time Series
Concept: Measurement of Secular Trend

Obtain the trend values for the following data using 5 yearly moving averages:

Year 2000 2001 2002 2003 2004
Production
xi
10 15 20 25 30
Year 2005 2006 2007 2008 2009
Production
xi
35 40 45 50 55
Appears in 1 question paper
Chapter: [12] Time Series
Concept: Measurement of Secular Trend

Following table shows the amount of sugar production (in lakh tonnes) for the years 1931 to 1941:

Year Production Year Production
1931 1 1937 8
1932 0 1938 6
1933 1 1939 5
1934 2 1940 1
1935 3 1941 4
1936 2    

Complete the following activity to fit a trend line by method of least squares:

Appears in 1 question paper
Chapter: [12] Time Series
Concept: Measurement of Secular Trend

The complicated but efficient method of measuring trend of time series is ______.

Appears in 1 question paper
Chapter: [12] Time Series
Concept: Measurement of Secular Trend

The following table shows gross capital information (in Crore ₹) for years 1966 to 1975:

Years 1966 1967 1968 1969 1970
Gross Capital information 20 25 25 30 35
Years 1971 1972 1973 1974 1975
Gross Capital information 30 45 40 55 65

Obtain trend values using 5-yearly moving values.

Appears in 1 question paper
Chapter: [12] Time Series
Concept: Measurement of Secular Trend

The publisher of a magazine wants to determine the rate of increase in the number of subscribers. The following table shows the subscription information for eight consecutive years:

Years 1976 1977 1978 1979
No. of subscribers
(in millions)
12 11 19 17
Years 1980 1981 1982 1983
No. of subscribers
(in millions)
19 18 20 23

Fit a trend line by graphical method.

Appears in 1 question paper
Chapter: [12] Time Series
Concept: Measurement of Secular Trend

If ∑p0q0 = 140, ∑p0q1 = 200, ∑p1q0 = 350, ∑p1q1 = 460, find Laspeyre’s, Paasche’s, Dorbish-Bowley’s and Marshall-Edgeworth’s Price Index Numbers.

Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

Given that ∑p0q0 = 220, ∑p0q1 = 380, ∑p1q1 = 350 and Marshall-Edgeworth’s Price Index Number is 150, find Laspeyre’s Price Index Number.

Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

Find x if the cost of living index is 150.

Group Food Clothing Fuel & Lighting House Rent  Miscellaneous
I 180 120 300 100 160
W 4 5 6 x 3
Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Method of Constructing Cost of Living Index Numbers - Family Budget Method

Base year weights (W) and current year price relatives (I) are given in Problem. Calculate the cost of living index in:

Find y if the cost of living index is 200.

Group Food Clothing Fuel & Lighting House Rent Miscellaneous
I 180 120 160 300 200
W 4 5 3 y 2
Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Method of Constructing Cost of Living Index Numbers - Family Budget Method

Choose the correct alternative :

The price Index Number by Weighted Aggregate Method is given by ______.

Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

Paasche’s Price Index Number is given by ______.

Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

Dorbish-Bowley’s Price Index Number is given by ______.

Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method

Walsh’s Price Index Number is given by _______.

Appears in 1 question paper
Chapter: [13] Index Numbers
Concept: Construction of Index Numbers >> Weighted Aggregate Method
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