If the following table represents the three yearly moving averages of a data, then the value of (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 Option 1: 27 Option 2: 9 Option 3: 30 Option 4: 10

Answer: 9. Solution: Each moving average is the mean of three consecutive values. (2+a+6)/3=4 a=4; b=(4+6+8)/3=6; (6+8+c)/3=7 c=7; d=(7+12+11)/3=10. So (a+b+c+d)/3=27/3=9.

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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

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

✅ Correct Option: 2

Each moving average is the mean of three consecutive values.

$\frac{2+a+6}{3}=4\Rightarrow a=4$ ; $b=\frac{4+6+8}{3}=6$ ; $\frac{6+8+c}{3}=7\Rightarrow c=7$ ; $d=\frac{7+12+11}{3}=10$ .

So $\frac{a+b+c+d}{3}=\frac{27}{3}=9$ .

2026: 31 May Shift 2

Match the LIST-I with LIST-II

LIST-I		LIST-II
A.	Decrease in production due to fire in a factory	I. Seasonal trend
B.	Woolen clothes sales are higher in winter.	II. Long term trend
C.	Rise and fall of the share market.	III. Irregular trend
D.	Continuous increase in population	IV. Cyclical trend

Choose the correct answer from the options given below:

2025: 15 May Shift 1

For predicting the straight line trend in the sales of cars (in thousands) on the basis of 5 consecutive years' data, the company makes use of a 3-year moving averages method. If the sales of the cars for respective years are 15, 24, 18, 33 and 42 respectively, then which of the following averages will not be computed?

2025: 13 May Shift 2

For the given five values 15,24,18,33,42, the three years moving averages are

2025: 30 May Shift 2

A company is shut down due to unavailability of electricity due to non payment of electricity Bill because of some unavoidable circumstances. Under which component of time series does this situation fall?

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:

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:

If the following table represents the three yearly moving averages of a data, then the value of a+b+c+d3\frac{a+b+c+d}{3}3a+b+c+d​ is- YearValue3-yearly moving average122a436b4875c9612d711

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)

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