HSC Commerce (English Medium) 12th Standard Board Exam - Maharashtra State Board Important Questions for Mathematics and Statistics

Complete the table using 4 yearly moving average method.

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

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

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

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

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

Obtain trend values using 5-yearly moving values.

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:

Fit a trend line by graphical method.

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

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

Find x if the cost of living index is 150.

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.

Choose the correct alternative :

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

Paasche’s Price Index Number is given by ______.

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

Walsh’s Price Index Number is given by _______.

`(sump_1q_0)/(sump_0q_0) xx 100` is Paasche’s Price Index Number.

`(sump_0(q_0 + q_1))/(sump_1(q_0 + q_1)) xx 100` is Marshall-Edgeworth’s price index number.

Find x if Laspeyre’s Price Index Number is same as Paasche’s Price Index Number for the following data

Solve the following problem:

If find x is Walsh’s Price Index Number is 150 for the following data

Choose the correct alternative:

Walsh's Price Index Number is given by

Marshall-Edgeworth's Price Index Number is given by ______