CUET Mathematics Statistics & Applications > Trends & Data PYQs

$\sum_{i=1}^{n} (y_i - y_t) = 0$

$\sum_{i=1}^{n} (y_i - y_t) = 1$

$\sum_{i=1}^{n} (y_i - y_t) = \infty$

$\sum_{i=1}^{n} (y_i - y_t) \ne 0$

20,26,32

20,26,33

20,27,32

20,26,31

$y = 9.4x + 18940.6$

$y = 9.4x - 18940.6$

$y = 9.4x + 56.8$

$y = 9.4x - 56.8$

(A) and (D) only

(A), (B) and (C) only

(A) and (C) only

(B), (C) and (D) only

(B) and (C) only

(A), (B) and (D) only

(A) and (D) only

(A) and (C) only

86.860 tons

4.143 tons

1,16,000 tons

6,08,000 tons

2

3

4

5

(A) - (III), (B) - (II), (C) - (IV), (D) - (I)

(A) - (III), (B) - (I), (C) - (II), (D) - (IV)

(A) - (II), (B) - (I), (C) - (IV), (D) - (III)

(A) - (II), (B) - (IV), (C) - (I), (D) - (III)

217, 229, 233, 218

217, 235, 229, 233

235, 229, 233, 218

235, 229, 233, 218.

147.64

138.86

130.57

131.22

12.2, 12.0, 12.1

4.00, 4.03, 4.40

12.0, 12.1, 13.2

4.067, 4.00, 4.03

Seasonal

Cyclic

Irregular

Secular

$y = 46 + 9.6 (x-2012)$

$y = 23 + 6.9 (x-2012)$

$y = 23 + 7.5 (x-2012)$

$y = 46 + 9.6x$

10, 12, 14

11, 13, 15

16, 14, 18

12, 14, 16

Secular trend

Irregular variation

Seasonal variation

Cyclic variation

Rs. 419.5 lakh

Rs. 620.5 lakh

Rs. 319.5 lakh

Rs. 519.5 lakh

Seasonal trend

Cyclical trend

Longterm trend

Irregular trend

38, 40, 42

40, 41.4, 43

41.5, 42, 45

42, 44, 45.3

C

B

A

F

109, 112.2, 117, 120.6, 126

109, 112, 117, 123, 128

109, 112, 119, 126, 135

109, 112.2, 117, 120, 131

(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

(A) - (I), (B) - (II), (C) - (IV), (D) - (III)

(A) - (II), (B) - (III), (C) - (IV), (D) - (I)

(A) - (IV), (B) - (I), (C) - (III), (D) - (II)

17y = 13x + 285

13y = 17x + 285

35y = 26(x - 2019) + 385

26y = 35(x - 2019) + 385

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (IV), (B) - (III), (C) - (II), (D) - (I)

(A) - (III), (B) - (IV), (C) - (II), (D) - (I)

(A) - (II), (B) - (I), (C) - (IV), (D) - (III)

y = 2x-26

y = 2x + 26

y = x - 1999

y = x - 13

(A) - (IV), (B) - (I), (C) - (II), (D) - (III)

(A) - (II), (B) - (I), (C) - (IV), (D) - (III)

(A) - (II), (B) - (III), (C) - (IV), (D) - (I)

(A) - (IV), (B) - (II), (C) - (III), (D) - (I)

$x > y > z$

$y > x > z$

$y < z < x$

$z > y > x$

$a = 0,b = 1.28$

$a = 14,b = 1.54$

$a = 11.6,b = 0$

$a = 14,b = 1.28$

$20, 26, 33$

$20, 26, 32$

$21, 25, 33$

$20, 25, 34$

Seasonal trend

Cyclical trend

Long term trend

Irregular trend

115.94

215.94

151.94

111.94

Secular trend component

Irregular component

Cyclic component

Stable component

164

154.14

161.78

162.86

17, 20, 21

17, 21, 25

16, 20, 24

17, 20, 25

Cyclical Variations

Secular Variations

Irregular Variations

Seasonal Variations

1

-1

0

2

Seasonal trend

Cyclical trend

Secular trend

Irregular trend

46.18

45.18

48.18

50.18

21, 27, 36

21, 27, 35

21, 28, 35

22, 28, 34

54.6%

43.7%

47.6%

34.8%

19, 22, 23

19, 25, 31

19, 30, 31

19, 25, 33

(A), (B) and (D) only

(A), (C) and (D) only

(B), (C) and (D) only

(B) and (C) only

$\sum y = a + \sum x + b \sum x^2$, $\sum xy = a + \sum x + b \sum x^2$

$\sum y = na + b \sum x$, $\sum xy = a \sum x + b \sum x^2$

$\sum xy = na + b \sum x$, $\sum xy = na + b \sum x^2$

$\sum x = na + b \sum y^2$, $\sum y = a \sum x + b \sum y^2$

(A), (B) and (D) only

(A), (C) and (D) only

(A) and (D) only

(B) and (C) only

(A), (B) and (D) only

(A), (B) and (C) only

(A), (B), (C) and (D)

(C) and (D) only

10, 11, 12, 13, 9

10, 11, 13, 12, 9

10, 12, 14, 13, 11

10, 12, 11, 13, 9

70.96

72.12

76.12

75.54

(A), (B) and (D) only

(A), (B) and (C) only

(A), (B), (C) and (D)

(C) and (D) only

41

36

42

37

(A), (B) and (D) only

(A) and (D) only

(A), (B) and (C) only

(B), (C) and (D) only

19

25

32

31

Long term trend

Cyclical trend

Seasonal trend

Irregular trend

19,22,33

25, 31, 33

25, 29, 31

22, 29, 31

(A), (B) and (D) only

(A), (B) and (C) only

(A), (C) and (D) only

(B), (C) and (D) only

(A) and (C) only

(B) and (C) only

(A) and (B) only

(B), (C) and (D) only

15

5

16

2/3

(A), (B) and (D) only

(A), (B) and (C) only

(B), (C) and (D) only

(C) and (D) only

Trend component

Cyclical Component

Seasonal Component

Average Component

18,21,29

18,22,29

18, 23, 37

18, 20,28

19,22,33

19,25,31

19,30,31

19,25,33

(A), (B) and (D) only

(A), (B) and (C) only

(A), (B), (C) and (D)

(C) and (D) only

Cross-sectional data

Time series data

Pooled data

Constant data

(A), (B) and (C) only

(A), (B) and (D) only

(A), (C) and (D) only

(B), (C) and (D) only

45.6

46.49

38.9

42.6

Cyclical component

Irregular component

Seasonal component

Trend component

2.3, 5.6, 19.6, 12.6, 31.3

2, 5.6, 12.3, 19.6, 21.6

2.3, 5.3, 12.3, 19.6, 31.6

2.3, 5.6, 12.3, 19.6, 31

$15,25,21$

$15,27,19$

$15,19,26$

$15,19,30$

$0.1$

$1.42$

$1.89$

$2.54$

(A), (B) and (D) only

(A), (B) and (C) only

(A), (B), (C) and (D)

(B), (C) and (D) only