For the given five values, 15, 24, 18, 33, 42, the three-year moving averages are Option 1: 19, 22, 23 Option 2: 19, 25, 31 Option 3: 19, 30, 31 Option 4: 19, 25, 33

Answer: 19, 25, 31. Solution: Given values: 15, 24, 18, 33, 42 A three-year moving average is calculated by taking the average of each consecutive group of 3 values. First group: 15, 24, 18 Average = (15 + 24 + 18)/3 = 57/3 = 19 Second group: 24, 18, 33 Average = (24 + 18 + 33)/3 = 75/3 = 25 Third group: 18, 33, 42 Average = (18 + 33 + 42)/3 = 93/3 = 31 The three-year moving averages are: 19, 25, 31

Statistics & Applications

Trends & Data

Medium

applied

For the given five values, 15, 24, 18, 33, 42, the three-year moving averages are

19, 22, 23

19, 25, 31

19, 30, 31

19, 25, 33

✅ Correct Option: 2

Given values: 15, 24, 18, 33, 42

A three-year moving average is calculated by taking the average of each consecutive group of 3 values.

First group: 15, 24, 18

$\text{Average} = \dfrac{15 + 24 + 18}{3}$

$= \dfrac{57}{3}$

$= 19$

Second group: 24, 18, 33

$\text{Average} = \dfrac{24 + 18 + 33}{3}$

$= \dfrac{75}{3}$

$= 25$

Third group: 18, 33, 42

$\text{Average} = \dfrac{18 + 33 + 42}{3}$

$= \dfrac{93}{3}$

$= 31$

The three-year moving averages are: 19, 25, 31

2025: 21 May Shift 1

For the given five values 18, 25, 20, 36, 49, the three years moving averages are

2025: 27 May Shift 1

Match List-I with List-II

List-I	List-II
(Example)	(Components of Time Series)
(A) Lockouts and strikes	(I) Secular trend
(B) Rise and fall of share market	(II) Seasonal trend
(C) Continuous decline in death rate	(III) Irregular trend
(D) The rise in prices before Diwali	(IV) Cyclical trend

Choose the correct answer from the options given below:

2025: 15 May Shift 2

The pattern and behavior of the data in any time series are based on which of the following components:

(A) Secular trend component

(B) Seasonal component

(D) Irregular component

Choose the correct answer from the options given below:

2025: 14 May Shift 1

If $y = a + b(x - 2022)$ is a straight line trend using the least square method for the following data

Year ( $x$ )	2020	2021	2022	2023	2024
Profit (Rs. '000) ( $y$ )	2	3	4	5	2

Then the value of $\frac{a}{b}$ is:

2026: 22 May Shift 2

For the given five values 15, 24, 18, 33, 45, which of the following is not the three years moving average?

2025: 19 May Shift 1

The following data shows the percentage of urban Indian households who have a high speed 5G internet connection:

Year (x)	2020	2021	2022	2023	2024
Urban house hold (y)	9%	18%	21%	29%	38%

If a straight line trend by the method of least square for the above data is $y = 23 + 6.9(x - 2022)$ , then the forecast for the year 2025 is:

For the given five values, 15, 24, 18, 33, 42, the three-year moving averages are

Solution

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