Statistics & Applications

Trends & Data

Medium

applied

For the given 5 values 24, 18, 33, 42, 24; the 3-year moving averages are:

19,22,33

25, 31, 33

25, 29, 31

22, 29, 31

✅ Correct Option: 2

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

A 3-year moving average takes groups of 3 consecutive numbers and calculates their average. The window moves one position at a time.

From 5 values, three groups of 3 consecutive values can be formed:

Group 1: 24, 18, 33 (positions 1, 2, 3)

Group 2: 18, 33, 42 (positions 2, 3, 4)

Group 3: 33, 42, 24 (positions 3, 4, 5)

First Moving Average:

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

$= \dfrac{75}{3}$

$= 25$

Second Moving Average:

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

$= \dfrac{93}{3}$

$= 31$

Third Moving Average:

$= \dfrac{33 + 42 + 24}{3}$

$= \dfrac{99}{3}$

$= 33$

The 3-year moving averages are: 25, 31, 33

2025: 16 May Shift 1

In an influenza epidemic, the number of cases diagnosed in a week were as follows:

Day	Monday	Tuesday	Wednesday	Thursday	Friday	Saturday	Sunday
Number of Cases	10	12	8	16	9	14	4

The 3-day moving averages are:

2026: 18 May Shift 1

If for the following data:

Year ( $x_i$ )	2010	2011	2012	2013	2014	2015	2016
Sales (in ₹ crores) ( $y_i$ )	6	8	9	11	13	17	20

If the equation of the straight line trend is $y=a+b(x_i-2013)$ , then the trend value for the year 2018 is

2025: 30 May Shift 2

For the given five values, 3.6, 4.3, 4.3, 3.4, 4.4, the three years moving averages are:

2025: 15 May Shift 2

The number of letters posted in a certain city on each day for a week is given as follows: 40, 55, 28, 25, 31, 52, 43. Which of the following is not an entry in the three-day moving averages?

2025: 13 May Shift 1

In which of the following, the time series may show the gradual shifts to relatively higher or lower values over a long period of time?

2026: 21 May Shift 1

If 18, Q, 19.2, T, 19.8 are the 5-year moving averages of the following series of observations:

16, P, 20, 18, R, 17, 19, S, 20, then

Match List-I with List-II

List-I	List-II
(A) $3P + 2R$	(I) 11.4
(B) $2R - (P+S)$	(II) 86
(C) $\frac{1}{5}(P+R+S)$	(III) 37.6
(D) $Q+T$	(IV) 9

Choose the correct answer from the options given below:

For the given 5 values 24, 18, 33, 42, 24; the 3-year moving averages are:

Solution

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