HSC Commerce (English Medium) १२ वीं कक्षा - Maharashtra State Board Important Questions for Mathematics and Statistics

Moving averages are useful in identifying ______. 

Which component of time series refers to erratic time series movements that follow no recognizable or regular pattern?

Fill in the blank :

_______ component of time series is indicated by a smooth line.

The simplest method of measuring trend of time series is ______.

Following data shows the number of boxes of cereal sold in years 1977 to 1984.

Fit a trend line to the above data by graphical method.

Which of the following can’t be a component of a time series?

Choose the correct alternative:

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

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

State whether the following statement is True or False: 

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

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

Fit a trend line by the method of least squares

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

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.

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.