Answer to Question #173585 in Statistics and Probability for ANJU JAYACHANDRAN

Question

2b) A bicycle shop sells the following number of bicycles from 1990 to 2000.

Year Number sold

(thousands)

1990 3

1991 3

1992 3

1993 3

1994 6

1995 6

1996 6

1997 6

1998 9

1999 10

2000 12

Compute the first three moving averages of length 3 for the bicycle sales data and

place them in line with the corresponding year.

Answer 1

The first three moving averages of length 3 for the bicycle sales data  are-

$x_1=\dfrac{3+3+3}{3}=3 \\[9pt] x_2=\dfrac{3+6+6}{3}=5 \\[9pt] x_2=\dfrac{6+6+9}{3}=7 \\[9pt] x_3=\dfrac{10+22}{2}=11$

The table for the first three moving average is-