Statistics & Applications

Trends & Data

Medium

applied

For the given five values $16, 25, 19, 34, 46$ , the three years moving averages are

$20, 26, 33$

$20, 26, 32$

$21, 25, 33$

$20, 25, 34$

✅ Correct Option: 1

Given values: 16, 25, 19, 34, 46

A 3-year moving average groups 3 consecutive values together, finds their average, then moves to the next group of 3 consecutive values.

With 5 values, there are 3 groups of 3 consecutive numbers:

Group 1: 16, 25, 19 (1st, 2nd, 3rd values)

Group 2: 25, 19, 34 (2nd, 3rd, 4th values)

Group 3: 19, 34, 46 (3rd, 4th, 5th values)

For Group 1:

$\text{Average} = \frac{16 + 25 + 19}{3}$

$= \frac{60}{3}$

$= 20$

For Group 2:

$\text{Average} = \frac{25 + 19 + 34}{3}$

$= \frac{78}{3}$

$= 26$

For Group 3:

$\text{Average} = \frac{19 + 34 + 46}{3}$

$= \frac{99}{3}$

$= 33$

Therefore, the three-year moving averages are: 20, 26, 33

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Urban house hold (y)	9%	18%	21%	29%	38%

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Year ( $x_i$ )	2004	2005	2006	2007	2008	2009	2010
Sales (in ₹' 000) ( $y_i$ )	26	26	44	42	108	120	166

The equation of the straight line trend is $y = a + b(x_i - 2007)$ , then the trend value for the year 2011 is

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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 :

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The values of ' $a$ ' and ' $b$ ' if the equation of straight line trend by least square method is given by $y = a + bx$ such that $\sum x = 0$ , $\sum y = 84$ , $\sum xy = 108$ , $\sum x^2 = 70$ for 6 observation at are:

For the given five values 16,25,19,34,4616, 25, 19, 34, 4616,25,19,34,46, the three years moving averages are

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)

For the given five values $16, 25, 19, 34, 46$ , the three years moving averages are