For the given 9 values, 4,5,5,6,7,8,9,8,10, the three years moving averages are Option 1: 5.33, 6, 7,8, 4.66, 8.33, 9 Option 2: 5.33, 6, 7, 8, 8.33, 9, 4.66 Option 3: 4.66, 5.33, 6, 7, 8, 8.33, 9 Option 4: 4.66, 5.33, 6, 6, 8, 8.33, 9

Answer: 4.66, 5.33, 6, 7, 8, 8.33, 9. Solution: Average the values in overlapping blocks of three. (4+5+5)/3=4.66, (5+5+6)/3=5.33, then 6, 7, 8, then (8+9+8)/3=8.33 and (9+8+10)/3=9. This gives seven values in that order.

Statistics & Applications

Trends & Data

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applied

For the given 9 values, 4,5,5,6,7,8,9,8,10, the three years moving averages are

5.33, 6, 7 ,8, 4.66, 8.33, 9

5.33, 6, 7, 8, 8.33, 9, 4.66

4.66, 5.33, 6, 7, 8, 8.33, 9

4.66, 5.33, 6, 6, 8, 8.33, 9

✅ Correct Option: 3

Average the values in overlapping blocks of three.

$\frac{4+5+5}{3}=4.66$ , $\frac{5+5+6}{3}=5.33$ , then $6$ , $7$ , $8$ , then $\frac{8+9+8}{3}=8.33$ and $\frac{9+8+10}{3}=9$ .

This gives seven values in that order.

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

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?

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 :

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?

2026: 21 May Shift 1

Time series helps to

(A) derive conclusions after arranging the time series in a systematic manner.

(B) predict the future behavior of a variable.

(D) plan future operations.

Choose the correct answer from the options given below:

2025: 14 May Shift 1

Which of the following are correct?

(A) Time series analysis does not help to understand the behavior of a variable in the past.

(B) Time series predict the future behavior of variable.

(D) The main aim of the time series analysis is to derive conclusions after arranging the time series in a systematic manner.

Choose the correct answer from the options given below:

For the given 9 values, 4,5,5,6,7,8,9,8,10, the three years moving averages are

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