Statistics & Applications

Trends & Data

Easy

applied

For the given five values 15, 24, 18, 33, 45, which of the following is not the three years moving average?

✅ Correct Option: 4

Three-year moving averages are:

$\frac{15+24+18}{3}=19$ , $\frac{24+18+33}{3}=25$ , $\frac{18+33+45}{3}=32$ .

Only these three exist, so $21$ is not a moving average.

2025: 2 June Shift 1

Match List-I with List-II

List-I	List-II
(A) A fire in a factory causing production delay for some time is	(I) Secular trend
(B) Technological progress is	(II) Seasonal trend
(C) The rise in prices before big festival is example of	(III) Irregular trend
(D) Rise and fall of share market is	(IV) Cyclic trend

Choose the correct answer from the options given below:

2025: 22 May Shift 1

Consider the following data:

Year (X)	2004	2005	2006	2007	2008	2009	2010
Profit (₹) (y)	114	130	126	144	138	156	164

The equation of straight line trend by using least square method is $y = 138.86 + 7.64 (x - 2007)$ , then the trend values for the year 2004 is

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 1

If $y = 38.85 + 7.64(x - 2020)$ is the equation of the straight line trend for the following data:

Year $(x)$	2017	2018	2019	2020	2021	2022	2023
Profit (Rs. '000) $(y)$	14	30	26	44	38	56	64

The trend value for the year 2021 by least square method is:

2026: 22 May Shift 1

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

2025: 26 May Shift 2

Match List-I with List-II

List-I	List-II
Time Series Component	Example
(A) Secular Variation	(I) Pandemic
(B) Seasonal Variation	(II) Recession in business
(C) Cyclic Variation	(III) Monthly sale of woolen cloths
(D) Irregular variation	(IV) Data regarding National income

Choose the correct answer from the options given below:

For the given five values 15, 24, 18, 33, 45, which of the following is not the three years moving average?

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)