Calculate the $5$ yearly moving averages of the number of students in a College from the following data and plot them on a graph paper.
Year $1981$ $1982$ $1983$ $1984$ $1985$ $1986$ $1987$ $1988$ $1989$ $1990$
Number $332$ $317$ $357$ $392$ $402$ $405$ $510$ $427$ $405$ $438$

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Solution

Year No. of students $5$ years Moving $5$ years Moving Average
1981 332 - -
1982 317 - -
1983 357 1800 360
1984 392 1873 374.6
1985 402 2066 413.2
1986 405 2136 427.2
1987 510 2149 429.8
1988 427 2185 437
1989 405 - -
1990 438 - -
The graph of the above data is shown on the graph paper.

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Year	$1981$	$1982$	$1983$	$1984$	$1985$	$1986$	$1987$	$1988$	$1989$	$1990$
Number	$332$	$317$	$357$	$392$	$402$	$405$	$510$	$427$	$405$	$438$