Statistics & Applications

Trends & Data

Medium

applied

Match List-I with List-II

List-I List-II
Example Time-series component
(A) Labour strike (I) Secular-trend
(B) Continuous decline in death rate (II) Seasonal
(C) Rise in prices before Diwali (III) Cyclical
(D) Rise and fall of the share-market (IV) Irregular

Choose the correct answer from the options given below:

List-I	List-II
Example	Time-series component
(A) Labour strike	(I) Secular-trend
(B) Continuous decline in death rate	(II) Seasonal
(C) Rise in prices before Diwali	(III) Cyclical
(D) Rise and fall of the share-market	(IV) Irregular

(A) - (IV), (B) - (I), (C) - (II), (D) - (III)

(A) - (II), (B) - (I), (C) - (IV), (D) - (III)

(A) - (II), (B) - (III), (C) - (IV), (D) - (I)

(A) - (IV), (B) - (II), (C) - (III), (D) - (I)

✅ Correct Option: 1

Time-series components represent different patterns in data over time:

Secular Trend: Long-term movement in one direction over many years

Seasonal: Regular patterns that repeat every year at the same time

Cyclical: Up and down movements that repeat over several years

Irregular: Unexpected, random events that cannot be predicted

A labour strike is sudden and unpredictable. Strikes are random events that disrupt normal patterns and cannot be forecasted.

(A) Labour strike → (IV) Irregular

Death rates have been falling steadily over decades due to better healthcare. This represents a long-term, continuous change in one direction over generations.

(B) Continuous decline in death rate → (I) Secular Trend

Prices increase every year before Diwali due to festive demand. This is a predictable, repeating pattern at the same time annually.

Stock markets go through boom periods (high) and recession periods (low). These cycles repeat over several years in a wave-like pattern.

(D) Rise and fall of the share-market → (III) Cyclical

The correct matching is:

(A) - (IV), (B) - (I), (C) - (II), (D) - (III)

2025: 15 May Shift 1

Year (t)	2010	2011	2012	2013	2014	2015	2016
Sales (in Rs. crores) (y)	6	8	9	11	13	17	20

In reference to the above data, which of the following statements are correct? (where $x = t - 2013$ )

(A) If the equation of the straight line trend is $y = 12 + 2.29 x$ , then the trend value for the year 2017 is 21.16.

(B) If the equation of the straight line trend is $y = 12 + 2.29 x$ , then the trend value for the year 2013 is 11.

(D) If $(t_1, y_2),(t_2, y_2),(t_3, y_3),......,(t_n, y_n)$ denote the time series and $y_t$ are the trend values of the variable y, then $\sum(y - y_t) = 0$ .

Choose the correct answer from the options given below:

2025: 30 May Shift 2

For the given five values, 3.6, 4.3, 4.3, 3.4, 4.4, the three years moving averages are:

2026: 18 May Shift 1

For the given six values 17, 22, 21, 35, 40, 51, the three years moving averages are

2025: 30 May Shift 2

A company is shut down due to unavailability of electricity due to non payment of electricity Bill because of some unavoidable circumstances. Under which component of time series does this situation fall?

2025: 30 May Shift 1

Increase in the number of patients in the hospitals due to heat stroke is:

2025: 15 May Shift 1

The rise in prices before festivals is an example of

Solution

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