The following table gives the number of finished articles turned out per day be different number of workers in a factors. Find the standard deviation of the daily output of finished articles. Find the variance and standard deviation of the following frequency distribution: Number of article:, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27 No. of workers:, 3, 7, 11, 14, 18, 17, 13, 8, 5, 4

Explanation

`((x),(18),(19),(20),(21),(22),(23),(24),(25),(26),(27))`
`((f),(3),(7),(11),(14),(18),(17),(13),(8),(5),(4))`
`((d),(-4),(-3),(-2),(-1),(0),(1),(2),(3),(4),(5))`
`((fd),(-12),(-21),(-22),(-14),(0),(17),(26),(24),(20),(20))`
`((d^2),(16),(9),(4),(1),(0),(1),(4),(9),(16),(25))`
`((fd^2),(48),(63),(44),(14),(0),(17),(52),(72),(80),(100))`

variance`=(sum(fd^2))/(sum(f))-((sum(fd))/(sum(f)))^2`

`=(490/100)-(38/100)^2`

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