SSC CGL Statistics – Time Series Analysis – Level 1 · Warm-up

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SSC CGL Statistics – Time Series Analysis – Level 1 · Warm-up – 12 questions, subject: Statistics (Tier II Paper II). Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.

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1.  
The long-term general tendency of a time series to rise, fall or remain steady is called the:

Correct Answer: A [Secular trend]

Explanation:

Trend = long-run movement over many years.

2.  
A rise in the sale of umbrellas every monsoon is an example of:

Correct Answer: C [Seasonal variation]

Explanation:

It repeats every year with the season.

3.  
Variations caused by floods, strikes or a sudden epidemic are:

Correct Answer: B [Irregular (random) variations]

Explanation:

Unpredictable, non-recurring shocks are irregular.

4.  
The multiplicative model of a time series is:

Correct Answer: D [Y = T × S × C × I]

Explanation:

Components multiply; the additive model adds them.

5.  
Business cycles of prosperity, recession, depression and recovery, lasting more than a year, form the:

Correct Answer: B [Cyclical component]

Explanation:

Oscillations longer than a year are cyclical.

6.  
The 3-yearly moving average centred on the middle year of the values 18, 21, 24 is:

Correct Answer: A [21]

Explanation:

Answer: 21. (18 + 21 + 24)/3 = 21.

7.  
For quarterly data, the seasonal indices should add up to:

Correct Answer: C [400]

Explanation:

Average index 100 × 4 quarters = 400 (monthly: 1,200).

8.  
In the method of least squares with an odd number of years, the middle year is taken as the origin so that:

Correct Answer: D [Σx = 0]

Explanation:

Σx = 0 gives a = Σy/n and b = Σxy/Σx² directly.

9.  
Statement-basedWhich is/are correct?
I. Moving averages smooth out short-term fluctuations.
II. Moving averages give trend values for the first and last years too.

Correct Answer: B [Only I]

Explanation:

Trend values are lost at both ends of the series.

10.  
Fill in the blankThe seasonal index of a quarter is 135. This means the quarter's value is ______ above the average quarter.

Correct Answer: A [35%]

Explanation:

Index 135 = 35% above the average 100.

11.  
Match the followingMatch:
P. Semi-averages Q. Link relatives R. Least squares
1. seasonal indices 2. trend from two half-averages 3. best-fitting trend line

Correct Answer: D [P-2, Q-1, R-3]

Explanation:

Link relatives (Pearson's method) measure seasonal variation.

12.  
Deseasonalised value = actual value ÷ seasonal index × 100. Actual sales 450, seasonal index 90. The deseasonalised sales are:

Correct Answer: C [500]

Explanation:

Answer: 500. 450/90 × 100 = 500.

➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Statistics (Tier II Paper II) book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-statistics

📘 SSC CGL 2026 – Statistics (Tier II Paper II)
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