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Calculate Three Yearly moving averages for the following data

Year 2016 2017 2018 2019 2020 2021
Production (thousand tonnes) 200 220 231 254 202 243

217, 229, 233, 218

217, 235, 229, 233

235, 229, 233, 218

235, 229, 233, 218.

✅ Correct Option: 2

A 3-yearly moving average takes any 3 consecutive years, adds their production values, and divides by 3. With 6 years of data, there will be 4 moving averages.

Given Data:

Year	2016	2017	2018	2019	2020	2021
Production (thousand tonnes)	200	220	231	254	202	243

For 2016-2018:

$\text{Moving Average} = \dfrac{200 + 220 + 231}{3}$

$= \dfrac{651}{3}$

$= 217$

For 2017-2019:

$\text{Moving Average} = \dfrac{220 + 231 + 254}{3}$

$= \dfrac{705}{3}$

$= 235$

For 2018-2020:

$\text{Moving Average} = \dfrac{231 + 254 + 202}{3}$

$= \dfrac{687}{3}$

$= 229$

For 2019-2021:

$\text{Moving Average} = \dfrac{254 + 202 + 243}{3}$

$= \dfrac{699}{3}$

$= 233$

The three-yearly moving averages are: 217, 235, 229, 233

2026: 29 May Shift 1

If 35, 70, 36, 59, 62 is the given annual time series, then 3-yearly 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: 3 June Shift 1

Components of Time Series are

(A) Secular Trend Component

(B) Seasonal Component

(D) Cyclical Component

Choose the correct answer from the options given below:

2025: 21 May Shift 2

Let $y = 138.86 + 7.64(x - 2021)$ be a straight line of best fit by using least square method to the following data:

Year(x)	2018	2019	2020	2021	2022	2023	2024
Profit(y) (in Rs. '000)	114	130	126	144	138	156	164

Then the trend value for the year 2024 is:

2025: 29 May Shift 2

The rise in prices before Diwali is an example of

2025: 2 June Shift 1

Data available for profit (₹ Thousands) of a company as

Year	2004	2005	2006	2007	2008	2009	2010
Profit(₹ 000)	114	130	126	144	138	156	164

Based on the above data using least square method the trend value for the year '2007' is

Calculate Three Yearly moving averages for the following data Year201620172018201920202021Production (thousand tonnes)200220231254202243

Solution

Related questions:

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CUET Mathematics Past Year Questions (Topic-Wise)

Calculate Three Yearly moving averages for the following data

Year 2016 2017 2018 2019 2020 2021
Production (thousand tonnes) 200 220 231 254 202 243