Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

In an influenza epidemic, the number of cases diagnosed in a week were as follows:

Day

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

Number of Cases

10

12

8

16

9

14

4

The 3-day moving averages are:

Options:

10, 11, 12, 13, 9

10, 11, 13, 12, 9

10, 12, 14, 13, 11

10, 12, 11, 13, 9

Correct Answer:

10, 12, 11, 13, 9

Explanation:

The correct answer is Option (4) → 10, 12, 11, 13, 9

Given data (number of cases per day): 10, 12, 8, 16, 9, 14, 4

Three-day moving averages (3-day MA):

MA₁ = (10 + 12 + 8)/3 = 30/3 = 10

MA₂ = (12 + 8 + 16)/3 = 36/3 = 12

MA₃ = (8 + 16 + 9)/3 = 33/3 = 11

MA₄ = (16 + 9 + 14)/3 = 39/3 = 13

MA₅ = (9 + 14 + 4)/3 = 27/3 = 9

Three-day moving averages: 10, 12, 11, 13, 9