SSC CGL Statistics – Time Series Analysis – Exam-Level Drill

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SSC CGL Statistics – Time Series Analysis – Exam-Level Drill – 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.  

Directions (Q 36–39): Quarterly sales (₹ lakh) of a firm:

Year Q1 Q2 Q3 Q4
2022 60 48 40 72
2023 66 52 44 78
2024 72 56 48 84
Data tableBy the method of simple averages, the average for Q4 is:

Correct Answer: A [78]

Explanation:

Answer: 78. (72 + 78 + 84)/3 = 78.

2.  
(Use the directions above – Q 36–39)
Data tableThe grand average of the four quarterly averages is:

Correct Answer: B [60]

Explanation:

Answer: 60. (66 + 52 + 44 + 78)/4 = 60.

3.  
(Use the directions above – Q 36–39)
Data tableThe seasonal index for Q1 is:

Correct Answer: D [110]

Explanation:

Answer: 110. 66/60 × 100 = 110.

4.  
(Use the directions above – Q 36–39)
Data tableThe seasonal index for Q3 (to two decimals) is:

Correct Answer: C [73.33]

Explanation:

44/60 × 100 = 73.33; check: 110 + 86.67 + 73.33 + 130 = 400.

5.  
Output 2017–2023: 30, 34, 35, 39, 41, 46, 48. With origin 2020 and x in years, the least-squares trend is:

Correct Answer: A [y = 39 + 3x]

Explanation:

Σy = 273 → a = 39; Σxy = 84, Σx² = 28 → b = 3.

6.  
Using y = 39 + 3x (origin 2020), the trend estimate for 2026 is:

Correct Answer: D [57]

Explanation:

Answer: 57. x = 6: 39 + 18 = 57.

7.  
A quarterly trend equation is y = 200 + 5x, origin 2023 Q4, x in quarters. With seasonal index 120 for Q2, the forecast (multiplicative) for 2025 Q2 is:

Correct Answer: B [276]

Explanation:

2023 Q4 → 2025 Q2 is 6 quarters, so x = 6: trend 200 + 30 = 230; × 120/100 = 276.

8.  
Link relatives: in a year, Q1 sales are 80 and Q2 sales are 92. The link relative of Q2 is:

Correct Answer: C [115]

Explanation:

Link relative = current ÷ previous × 100 = 92/80 × 100 = 115.

9.  
Ratio-to-trend method: a quarter's actual value is 621 and its trend value is 540. The ratio to trend (%) is:

Correct Answer: A [115]

Explanation:

Answer: 115. 621/540 × 100 = 115.

10.  
Residual method (multiplicative): Y = 702, trend T = 600, seasonal index 117. The combined cyclical-irregular index C × I (%) is:

Correct Answer: A [100]

Explanation:

C × I = Y ÷ (T × S) × 100 = 702 ÷ (600 × 1.17) × 100 = 100 – the season explains the whole gap; no cyclical or irregular effect.

11.  
Residual method (additive): Y = 620, T = 580, seasonal effect S = +25. The combined cyclical + irregular part is:

Correct Answer: B [15]

Explanation:

C + I = Y − T − S = 620 − 580 − 25 = 15.

12.  
Annual sales totals follow Y = 480 + 64x (x in years, origin mid-2024). The quarterly trend equation (x in quarters) is:

Correct Answer: D [y = 120 + 4x]

Explanation:

Quarterly: a ÷ 4 = 120 and b ÷ 16 = 4.

➤ 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)
Here you get the answer with a one-line explanation. 657 original questions with worked answers · notes, formulas, figures and statistical tables (z, t, χ², F) · practice sets + 3 mock tests
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