Statistics & Applications

Trends & Data

Medium

applied

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

12.2, 12.0, 12.1

4.00, 4.03, 4.40

12.0, 12.1, 13.2

4.067, 4.00, 4.03

✅ Correct Option: 4

A 3-period moving average takes 3 consecutive values, adds them up, and divides by 3. This process slides forward by one position each time.

The given values are:

Position	Value
1st	3.6
2nd	4.3
3rd	4.3
4th	3.4
5th	4.4

For the first moving average, take the first 3 values: 3.6, 4.3, 4.3

First Moving Average $= \dfrac{3.6 + 4.3 + 4.3}{3}$

$= \dfrac{12.2}{3}$

$= 4.067$

For the second moving average, move forward by 1 position. Take values at positions 2, 3, 4: 4.3, 4.3, 3.4

Second Moving Average $= \dfrac{4.3 + 4.3 + 3.4}{3}$

$= \dfrac{12.0}{3}$

$= 4.00$

For the third moving average, move forward again. Take values at positions 3, 4, 5: 4.3, 3.4, 4.4

Third Moving Average $= \dfrac{4.3 + 3.4 + 4.4}{3}$

$= \dfrac{12.1}{3}$

$= 4.03$

The three moving averages are: 4.067, 4.00, 4.03

Note: Options showing 12.2, 12.0, 12.1 represent the sums, not the averages.

2025: 30 May Shift 1

Increase in the number of patients in the hospitals due to heat stroke is:

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

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 is not a component of the time series?

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:

2025: 21 May Shift 2

Let $y = 138.86 + 7.64(x - 2021)$ be a straight line of best fit by using least square method to the following data:

Year(x)	2018	2019	2020	2021	2022	2023	2024
Profit(y) (in Rs. '000)	114	130	126	144	138	156	164

Then the trend value for the year 2024 is:

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

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)