Download App

TIME SERIES Statistics - TIME SERIES

Gujarat Board (GSEB) - STD 12 Commerce - Statistics (GSEB - English Medium). 166 questions in this chapter.

Question types

TIME SERIES question types

166 questions across 6 question groups — pick any mix to generate a Statistics paper with step-by-step answer keys.

166
Questions
6
Question groups
5
Question types
Sample Questions

TIME SERIES questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark
Which of the following fluctuations is the effect of seasonal component ?
  • A
    Increase in the migration to cities from rural areas
  • B
    Increase number of vehicles on roads in a city
  • ✓
    Increase in the number of tourists during school vacation
  • D
    Increased death rate during a certain epidemic.

Answer: C.

View full solution →
Q 2MCQ1 Mark
The trend equation obtained from a time series from January $2016$ to December $2016$ is $y = 30.1 + 1.5t.$ Find the value of trend for April $2016.$
  • A
    $30.1$
  • B
    $34.6$
  • ✓
    $36.1$
  • D
    $3.1$

Answer: C.

View full solution →
Q 3MCQ1 Mark
Which of the following variations are due to cyclical component ?
  • A
    Rise in demand during winter
  • ✓
    Decrease in the share prices due to recession in share market.
  • C
    Decrease in the agricultural produce due to excessive rains
  • D
    Continuously decreasing death rate

Answer: B.

View full solution →
Q 4MCQ1 Mark
Which component of the time series is impossible to predict ?
  • ✓
    Random component
  • B
    Trend
  • C
    Seasonal component
  • D
    Cyclical component

Answer: A.

View full solution →
Q 163 Marks Each3 Marks
Find the trend using five yearly moving averages for the following data about yearly production $($in tons$)$ of a factory.
Year $2006$ $2007$ $2008$ $2009$ $2010$ $2011$ $2012$ $2013$ $2014$ $2015$ $2016$
Productions(tones) $112$ $106$ $93$ $90$ $114$ $159$ $170$ $130$ $108$ $113$ $115$
View full solution →
Q 173 Marks Each3 Marks
The number of accounts opened in different weeks in a branch of a certain bank are given below. Find the trend using three-weekly moving averages. \begin{array}{|l|c|c|c|c|c|c|c|c|c|c|} \hline Week & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline No.\ of\ accounts\ opened & 26 & 27 & 26 & 25 & 22 & 24 & 25 & 23 & 22 & 21 \\ \hline \end{array}
View full solution →
Q 193 Marks Each3 Marks
The following time series shows the daily production of a factory. Find the trend using graphical method.
Time $t$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$
Production $($units$)$ $21$ $22$ $23$ $25$ $24$ $22$ $25$ $26$ $27$ $26$
View full solution →
Q 214 Marks Each4 Marks
Find the trend using four monthly moving averages for the following data showing monthly sales $($in lakh $₹)$ of a shop. \begin{array}{|l|c|c|c|c|c|c|c|c|c|c|} \hline Month & March & April & May & June & July & August & Sept. & Oct. & Nov. & Dec. \\ \hline Sales (lakh ₹) & 5 & 3 & 7 & 6 & 4 & 8 & 9 & 10 & 8 & 9 \\ \hline \end{array}
View full solution →
Q 224 Marks Each4 Marks
The quantity index numbers of consumption of edible oil in a state are given in the following table. Find the trend using five yearly moving averages.
View full solution →
Q 244 Marks Each4 Marks
The data about closing prices of shares of a company registered in a stock exchange for different months is given in the following table. Find the trend using three monthly moving averages.
View full solution →
Q 254 Marks Each4 Marks
The following data are available for the number of passengers who travelled in the last $5$ years by the aircrafts of an airline company. Estimate the trend for the year $2016$ by fitting linear trend.
View full solution →
Q 265 Mark Each5 Marks
The data about monthly sales $($in thousand $₹)$ of a company are given in the following table. Fit a linear trend and show it grapically. Estimate the sale for the month of August using the equation obtained.
$\begin{array}{|l|c|c|c|c|c|c|} \hline Month & January & February & March & April & May & June \\ \hline Sale (thousand ₹) & 80 & 85 & 90 & 76 & 82 & 88 \\ \hline \end{array}$
View full solution →
Q 275 Mark Each5 Marks
The data of population $($in lakh$)$ of a taluka are given in the following table. Fit a linear equation for the data and find the trend value for each year. Also find the trend estimate for the population in the year 2021 .
$\begin{array}{|l|c|c|c|c|c|c|c|} \hline Year & 1951 & 1961 & 1971 & 1981 & 1991 & 2001 & 2011 \\ \hline Population (lakh) & 15.1 & 16.9 & 18.7 & 20.1 & 21.6 & 25.7 & 27.1 \\ \hline \end{array}$
View full solution →
Q 285 Mark Each5 Marks
The dropout rate of students of standard $1$ to $5$ from primary schools of a district is as follows :
Year $2009-10$ $2010-11$ $2011-12$ $2012-13$ $2013-14$ $2014-15$ $2015-16$
Dropout rate $3.24$ $2.98$ $2.29$ $2.2$ $2.09$ $2.07$ $2.04$
Estimate the dropout rate for students from standard $1$ to $5$ for the year $2016-17$ and $2017-18$ by fitting a linear equation for trend.
View full solution →
Q 295 Mark Each5 Marks
The profit earned $($in lakh $₹)$ by a company making computers is as follows. Find the linear equation for the trend from these data by least square method and estimate the profit for the year $2017 .$$\begin{array}{|l|c|c|c|c|c|} \hline Year & 2011 & 2012 & 2013 & 2014 & 2015 \\ \hline Profit (Lakh ₹) & 31 & 35 & 39 & 41 & 44 \\ \hline \end{array}$
View full solution →
Q 305 Mark Each5 Marks
The data about monthly sales $($in thousand $?)$ of a company are given in the following table. Obtain trend using grapieal method.
View full solution →
Browse all question groups ↑

Generate a TIME SERIES paper free

Pick question groups from the list above, set marks and difficulty, and export a branded PDF with step-by-step answer keys. First 3 chapters free — no signup.

Download App
Generate Paper FreeAll Statistics chapters