For the given five values, 13, 17, 21, 22, 32; the 3-year moving averages are: Option 1: 17, 20, 21 Option 2: 17, 21, 25 Option 3: 16, 20, 24 Option 4: 17, 20, 25

Answer: 17, 20, 25. Solution: Given values: 13, 17, 21, 22, 32 A 3-year moving average takes 3 consecutive numbers, adds them, and divides by 3. Take the first three numbers: 13, 17, 21 Average = (13 + 17 + 21)/3 = 51/3 = 17 Take the next three numbers: 17, 21, 22 Average = (17 + 21 + 22)/3 = 60/3 = 20 Take the next three numbers: 21, 22, 32 Average = (21 + 22 + 32)/3 = 75/3 = 25 The 3-year moving averages are: 17, 20, 25

Statistics & Applications

Trends & Data

Easy

applied

For the given five values, 13, 17, 21, 22, 32; the 3-year moving averages are:

17, 20, 21

17, 21, 25

16, 20, 24

17, 20, 25

✅ Correct Option: 4

Given values: 13, 17, 21, 22, 32

A 3-year moving average takes 3 consecutive numbers, adds them, and divides by 3.

Take the first three numbers: 13, 17, 21

$\text{Average} = \frac{13 + 17 + 21}{3}$

$= \frac{51}{3}$

$= 17$

Take the next three numbers: 17, 21, 22

$\text{Average} = \frac{17 + 21 + 22}{3}$

$= \frac{60}{3}$

$= 20$

Take the next three numbers: 21, 22, 32

$\text{Average} = \frac{21 + 22 + 32}{3}$

$= \frac{75}{3}$

$= 25$

The 3-year moving averages are: 17, 20, 25

2025: 30 May Shift 1

Consider the following data:

Year (x)	2010	2011	2012	2013	2014
Sale (in crore Rs.) (y)	9	18	21	29	38

A straight line trend by the method of least square is:

2025: 2 June Shift 1

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

2026: 18 May Shift 2

The pattern of data in the time series is influenced by a large variety of factors. Which of the following are not the components of the time series?

A. Regional component

B. Irregular component

C. Cyclone component

D. Seasonal component

Choose the correct answer from the options given below:

2026: 30 May Shift 2

If the following table represents the three yearly moving averages of a data, then the value of $\frac{a+b+c+d}{3}$ is-

Year	Value	3-yearly moving average
1	2
2	a	4
3	6	b
4	8	7
5	c	9
6	12	d
7	11

2025: 21 May Shift 1

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

2026: 29 May Shift 1

If for the following data:

Year	2001	2002	2003	2004	2005	2006	2007
Production (in lakh tonnes)	30	35	36	32	37	40	36

Using straight line trend by the method of least squares, the trend value for the year 2009 is :

For the given five values, 13, 17, 21, 22, 32; the 3-year moving averages are:

Solution

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