Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

For the given values 27, 35, 42, 45, 51, 34, 43; the five yearly moving averages are:-

Options:

38, 40, 42

40, 41.4, 43

41.5, 42, 45

42, 44, 45.3

Correct Answer:

40, 41.4, 43

Explanation:

The correct answer is Option (2) → 40, 41.4, 43 **

Given data: 27, 35, 42, 45, 51, 34, 43

Five-year moving averages:

1st average (first 5 values):

$27+35+42+45+51 = 200$

$\text{MA}_1 = 200/5 = 40$

2nd average (values 2 to 6):

$35+42+45+51+34 = 207$

$\text{MA}_2 = 207/5 = 41.4$

3rd average (values 3 to 7):

$42+45+51+34+43 = 215$

$\text{MA}_3 = 215/5 = 43$

Five-year moving averages: 40, 41.4, 43