Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Question:

The five month moving averages for the following data

Month (rth)

43

44

45

46

47

48

49

50

51

Actual Demand

105

106

110

110

114

121

130

128

137

is:

Options:

109, 112.2, 117, 120.6, 126

109, 112, 117, 123, 128

109, 112, 119, 126, 135

109, 112.2, 117, 120, 131

Correct Answer:

109, 112.2, 117, 120.6, 126

Explanation:

The correct answer is Option (1) → 109, 112.2, 117, 120.6, 126

Five-Month Moving Averages

Formula: Five-month moving average = $\frac{\text{Sum of 5 consecutive months}}{5}$

Month 43-47: $\frac{105+106+110+110+114}{5} = \frac{545}{5} = 109$

Month 44-48: $\frac{106+110+110+114+121}{5} = \frac{561}{5} = 112.2$

Month 45-49: $\frac{110+110+114+121+130}{5} = \frac{585}{5} = 117$

Month 46-50: $\frac{110+114+121+130+128}{5} = \frac{603}{5} = 120.6$

Month 47-51: $\frac{114+121+130+128+137}{5} = \frac{630}{5} = 126$