Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

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

Options:

217, 229, 233, 218

217, 235, 229, 233

235, 229, 233, 218

235, 229, 233, 218

Correct Answer:

217, 235, 229, 233

Explanation:

The correct answer is Option (2) → 217, 235, 229, 233 **

Given Production Data (in '000 tonnes):

2016: 200

2017: 220

2018: 231

2019: 254

2020: 202

2021: 243

Compute 3-year moving averages:

First MA (2016–2018):

$\frac{200 + 220 + 231}{3} = \frac{651}{3} = 217$

Second MA (2017–2019):

$\frac{220 + 231 + 254}{3} = \frac{705}{3} = 235$

Third MA (2018–2020):

$\frac{231 + 254 + 202}{3} = \frac{687}{3} = 229$

Fourth MA (2019–2021):

$\frac{254 + 202 + 243}{3} = \frac{699}{3} = 233$

Final 3-year moving averages:

$217,\ 235,\ 229,\ 233$